138470644399472640
138,470,644,399,472,640 is an even composite number composed of six prime numbers multiplied together.
138470644399472640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred fifty-six divisors.
Prime factorization of 138470644399472640:
222 × 32 × 5 × 412 × 607 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 41 × 41 × 607 × 719)See below for interesting mathematical facts about the number 138470644399472640 from the Numbermatics database.
Names of 138470644399472640
- Cardinal: 138470644399472640 can be written as One hundred thirty-eight quadrillion, four hundred seventy trillion, six hundred forty-four billion, three hundred ninety-nine million, four hundred seventy-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3847064439947264 × 1017
Factors of 138470644399472640
Divisors of 138470644399472640
- Number of divisors d(n): 1656
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 64 72 80 82 90 96 120 123 128 144 160 164 180 192 205 240 246 256 288 320 328 360 369 384 410 480 492 512 576 607 615 640 656 719 720 738 768 820 960 984 1024 1152 1214 1230 1280 1312 1438 1440 1476 1536 1640 1681 1821 1845 1920 1968 2048 2157 2304 2428 2460 2560 2624 2876 2880 2952 3035 3072 3280 3362 3595 3642 3690 3840 3936 4096 4314 4608 4856 4920 5043 5120 5248 5463 5752 5760 5904 6070 6144 6471 6560 6724 7190 7284 7380 7680 7872 8192 8405 8628 9105 9216 9712 9840 10086 10240 10496 10785 10926 11504 11520 11808 12140 12288 12942 13120 13448 14380 14568 14760 15129 15360 15744 16384 16810 17256 18210 18432 19424 19680 20172 20480 20992 21570 21852 23008 23040 23616 24280 24576 24887 25215 25884 26240 26896 27315 28760 29136 29479 29520 30258 30720 31488 32355 32768 33620 34512 36420 36864 38848 39360 40344 40960 41984 43140 43704 46016 46080 47232 48560 49152 49774 50430 51768 52480 53792 54630 57520 58272 58958 59040 60516 61440 62976 64710 65536 67240 69024 72840 73728 74661 75645 77696 78720 80688 81920 83968 86280 87408 88437 92032 92160 94464 97120 98304 99548 100860 103536 104960 107584 109260 115040 116544 117916 118080 121032 122880 124435 125952 129420 131072 134480 138048 145680 147395 147456 149322 151290 155392 157440 161376 163840 167936 172560 174816 176874 184064 184320 188928 194240 196608 199096 201720 207072 209920 215168 218520 223983 230080 233088 235832 236160 242064 245760 248870 251904 258840 262144 265311 268960 276096 291360 294790 294912 298644 302580 310784 314880 322752 327680 335872 345120 349632 353748 368128 368640 373305 377856 388480 393216 398192 403440 414144 419840 430336 436433 437040 442185 447966 460160 466176 471664 472320 484128 491520 497740 503808 517680 524288 530622 537920 552192 582720 589580 589824 597288 605160 621568 629760 645504 655360 671744 690240 699264 707496 736256 737280 746610 755712 776960 786432 796384 806880 828288 839680 860672 872866 874080 884370 895932 920320 932352 943328 944640 968256 983040 995480 1007616 1020367 1035360 1048576 1061244 1075840 1104384 1119915 1165440 1179160 1179648 1194576 1208639 1210320 1243136 1259520 1291008 1309299 1310720 1326555 1343488 1380480 1398528 1414992 1472512 1474560 1493220 1511424 1553920 1572864 1592768 1613760 1656576 1679360 1721344 1745732 1748160 1768740 1791864 1840640 1864704 1886656 1889280 1936512 1966080 1990960 2015232 2040734 2070720 2097152 2122488 2151680 2182165 2208768 2239830 2330880 2358320 2359296 2389152 2417278 2420640 2486272 2519040 2582016 2618598 2621440 2653110 2686976 2760960 2797056 2829984 2945024 2949120 2986440 3022848 3061101 3107840 3145728 3185536 3227520 3313152 3358720 3442688 3491464 3496320 3537480 3583728 3625917 3681280 3729408 3773312 3778560 3873024 3927897 3932160 3981920 4030464 4081468 4141440 4194304 4244976 4303360 4364330 4417536 4479660 4661760 4716640 4718592 4778304 4834556 4841280 4972544 5038080 5101835 5164032 5237196 5242880 5306220 5373952 5521920 5594112 5659968 5890048 5898240 5972880 6043195 6045696 6122202 6215680 6291456 6371072 6455040 6546495 6626304 6717440 6885376 6982928 6992640 7074960 7167456 7251834 7362560 7458816 7546624 7557120 7746048 7855794 7864320 7963840 8060928 8162936 8282880 8489952 8606720 8728660 8835072 8959320 9183303 9323520 9433280 9437184 9556608 9669112 9682560 9945088 10076160 10203670 10328064 10474392 10485760 10612440 10747904 10877751 11043840 11188224 11319936 11780096 11796480 11945760 12086390 12091392 12244404 12431360 12582912 12742144 12910080 13092990 13252608 13434880 13770752 13965856 13985280 14149920 14334912 14503668 14725120 14917632 15093248 15114240 15305505 15492096 15711588 15728640 15927680 16121856 16325872 16565760 16979904 17213440 17457320 17670144 17893753 17918640 18129585 18366606 18647040 18866560 18874368 19113216 19338224 19365120 19639485 19890176 20152320 20407340 20656128 20948784 20971520 21224880 21495808 21755502 22087680 22376448 22639872 23560192 23592960 23891520 24172780 24182784 24488808 24862720 25484288 25820160 26185980 26505216 26869760 27541504 27931712 27970560 28299840 28669824 29007336 29450240 29835264 30186496 30228480 30611010 30984192 31423176 31457280 31855360 32243712 32651744 33131520 33959808 34426880 34914640 35340288 35787506 35837280 36259170 36733212 37294080 37733120 37748736 38226432 38676448 38730240 39278970 39780352 40304640 40814680 41312256 41897568 42449760 42991616 43511004 44175360 44752896 45279744 45916515 47120384 47185920 47783040 48345560 48365568 48977616 49725440 50968576 51640320 52371960 53010432 53681259 53739520 54388755 55083008 55863424 55941120 56599680 57339648 58014672 58900480 59670528 60372992 60456960 61222020 61968384 62846352 62914560 63710720 64487424 65303488 66263040 67919616 68853760 69829280 70680576 71575012 71674560 72518340 73466424 74588160 75466240 76452864 77352896 77460480 78557940 79560704 80609280 81629360 82624512 83795136 84899520 85983232 87022008 88350720 89468765 89505792 90559488 91833030 94240768 94371840 95566080 96691120 96731136 97955232 99450880 101937152 103280640 104743920 106020864 107362518 107479040 108777510 110166016 111726848 111882240 113199360 114679296 116029344 117800960 119341056 120745984 120913920 122444040 123936768 125692704 127421440 128974848 130606976 132526080 135839232 137707520 139658560 141361152 143150024 143349120 145036680 146932848 149176320 150932480 152905728 154705792 154920960 157115880 159121408 161043777 161218560 163258720 165249024 167590272 169799040 171966464 174044016 176701440 178937530 179011584 181118976 183666060 188481536 188743680 191132160 193382240 193462272 195910464 198901760 203874304 206561280 209487840 212041728 214725036 214958080 217555020 220332032 223453696 223764480 226398720 229358592 232058688 235601920 238682112 241491968 241827840 244888080 247873536 251385408 254842880 257949696 261213952 265052160 268406295 271678464 275415040 279317120 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257418657792 260959109120 264111794280 267483086848 274848046080 278198747136 281719247232 286020730880 293171249152 293578997760 297035120640 300918472704 309109719040 313150930944 316837462016 317278126080 321773322240 329817655296 334353858560 343224877056 347748433920 352149059040 356442144768 366464061440 370931662848 375625662976 376148090880 391438663680 396046827520 401224630272 412272069120 422578870848 429031096320 439756873728 445552680960 457633169408 463664578560 469532078720 469726396416 475256193024 501530787840 514837315584 521918218240 528223588560 534966173696 549696092160 556397494272 563438494464 572041461760 586342498304 587157995520 594070241280 601836945408 618219438080 633674924032 643546644480 659635310592 668707717120 686449754112 695496867840 704298118080 712884289536 732928122880 751251325952 752296181760 782877327360 792093655040 802449260544 824544138240 845157741696 858062192640 879513747456 891105361920 915266338816 927329157120 939064157440 939452792832 950512386048 1003061575680 1029674631168 1056447177120 1069932347392 1099392184320 1112794988544 1126876988928 1144082923520 1172684996608 1174315991040 1188140482560 1203673890816 1267349848064 1287093288960 1319270621184 1337415434240 1372899508224 1390993735680 1408596236160 1425768579072 1465856245760 1502502651904 1504592363520 1565754654720 1584187310080 1604898521088 1649088276480 1690315483392 1716124385280 1759027494912 1782210723840 1830532677632 1854658314240 1878128314880 1901024772096 2006123151360 2059349262336 2112894354240 2139864694784 2198784368640 2253753977856 2288165847040 2345369993216 2348631982080 2376280965120 2407347781632 2534699696128 2574186577920 2638541242368 2674830868480 2745799016448 2781987471360 2817192472320 2851537158144 2931712491520 3005005303808 3009184727040 3168374620160 3209797042176 3298176552960 3380630966784 3432248770560 3518054989824 3564421447680 3756256629760 3802049544192 4012246302720 4118698524672 4225788708480 4279729389568 4397568737280 4507507955712 4576331694080 4690739986432 4697263964160 4752561930240 4814695563264 5069399392256 5148373155840 5277082484736 5349661736960 5491598032896 5563974942720 5634384944640 5703074316288 5863424983040 6010010607616 6018369454080 6336749240320 6419594084352 6596353105920 6761261933568 6864497541120 7036109979648 7128842895360 7512513259520 7604099088384 8024492605440 8237397049344 8451577416960 8795137474560 9015015911424 9152663388160 9381479972864 9505123860480 9629391126528 10296746311680 10554164969472 10699323473920 11268769889280 11406148632576 11726849966080 12020021215232 12036738908160 12673498480640 12839188168704 13192706211840 13522523867136 13728995082240 14072219959296 14257685790720 15025026519040 15208198176768 16048985210880 16474794098688 16903154833920 17590274949120 18030031822848 18762959945728 19010247720960 19258782253056 20593492623360 21108329938944 21398646947840 22537539778560 22812297265152 23453699932160 24040042430464 24073477816320 25346996961280 26385412423680 27045047734272 27457990164480 28144439918592 28515371581440 30050053038080 32097970421760 33806309667840 35180549898240 36060063645696 37525919891456 38020495441920 38517564506112 41186985246720 42216659877888 45075079557120 45624594530304 46907399864320 48080084860928 48146955632640 52770824847360 54090095468544 56288879837184 57030743162880 60100106076160 64195940843520 67612619335680 70361099796480 72120127291392 75051839782912 76040990883840 82373970493440 84433319755776 90150159114240 93814799728640 96160169721856 96293911265280 105541649694720 108180190937088 112577759674368 114061486325760 120200212152320 135225238671360 140722199592960 144240254582784 168866639511552 180300318228480 187629599457280 192320339443712 192587822530560 211083299389440 216360381874176 225155519348736 228122972651520 240400424304640 270450477342720 281444399185920 288480509165568 337733279023104 360600636456960 375259198914560 384640678887424 422166598778880 432720763748352 480800848609280 540900954685440 562888798371840 576961018331136 675466558046208 721201272913920 769281357774848 844333197557760 865441527496704 961601697218560 1081801909370880 1125777596743680 1153922036662272 1442402545827840 1538562715549696 1688666395115520 1730883054993408 1923203394437120 2163603818741760 2307844073324544 2884805091655680 3077125431099392 3377332790231040 3461766109986816 3846406788874240 4327207637483520 4615688146649088 5769610183311360 6923532219973632 7692813577748480 8654415274967040 9231376293298176 11539220366622720 13847064439947264 15385627155496960 17308830549934080 23078440733245440 27694128879894528 34617661099868160 46156881466490880 69235322199736320 138470644399472640
- Sum of all divisors σ(n): 493521189903406080
- Sum of proper divisors (its aliquot sum) s(n): 355050545503933440
- 138470644399472640 is an abundant number, because the sum of its proper divisors (355050545503933440) is greater than itself. Its abundance is 216579901104460800
Bases of 138470644399472640
- Binary: 1111010111111001001010001010000110100000000000000000000002
- Hexadecimal: 0x1EBF25143400000
- Base-36: 11VFQVUTCSG0
Squares and roots of 138470644399472640
- 138470644399472640 squared (1384706443994726402) is 19174119360405203601938710108569600
- 138470644399472640 cubed (1384706443994726403) is 2655052663627712724287750989866908076087384735744000
-
The
square root of 138470644399472640 is 372116439.3029050793 -
The
cube root of 138470644399472640 is 517351.7285001039
Scales and comparisons
How big is 138470644399472640?- 138,470,644,399,472,640 seconds is equal to 4,402,938,174 years, 4 weeks, 6 hours, 24 minutes.
-
To count from 1 to 138,470,644,399,472,640 would take you about thirteen billion, two hundred eight million, eight hundred fourteen thousand, five hundred twenty-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138470644399472640 cubic inches would be around 43112.6 feet tall.
Recreational maths with 138470644399472640
- 138470644399472640 backwards is 046274993446074831
- The number of decimal digits it has is: 18
- The sum of 138470644399472640's digits is 81
- More coming soon!
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"Number 138470644399472640 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 138470644399472640 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138470644399472640/
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Numbermatics. 2024. "Number 138470644399472640 - Facts about the integer". https://numbermatics.com/n/138470644399472640/
The information we have on file for 138470644399472640 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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