138898740162457600
138,898,740,162,457,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138898740162457600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2808 divisors.
138898740162457600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 138898740162457600:
212 × 52 × 13 × 192 × 312 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 19 × 31 × 31 × 67 × 67 × 67)See below for interesting mathematical facts about the number 138898740162457600 from the Numbermatics database.
Names of 138898740162457600
- Cardinal: 138898740162457600 can be written as One hundred thirty-eight quadrillion, eight hundred ninety-eight trillion, seven hundred forty billion, one hundred sixty-two million, four hundred fifty-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.388987401624576 × 1017
Factors of 138898740162457600
Divisors of 138898740162457600
- Number of divisors d(n): 2808
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 31 32 38 40 50 52 62 64 65 67 76 80 95 100 104 124 128 130 134 152 155 160 190 200 208 247 248 256 260 268 304 310 320 325 335 361 380 400 403 416 475 494 496 512 520 536 589 608 620 640 650 670 722 760 775 800 806 832 871 950 961 988 992 1024 1040 1072 1178 1216 1235 1240 1273 1280 1300 1340 1444 1520 1550 1600 1612 1664 1675 1742 1805 1900 1922 1976 1984 2015 2048 2077 2080 2144 2356 2432 2470 2480 2546 2560 2600 2680 2888 2945 3040 3100 3200 3224 3328 3350 3484 3610 3800 3844 3952 3968 4030 4096 4154 4160 4288 4355 4489 4693 4712 4805 4864 4940 4960 5092 5120 5200 5360 5776 5890 6080 6175 6200 6365 6400 6448 6656 6700 6968 7220 7600 7657 7688 7904 7936 8060 8308 8320 8576 8710 8978 9025 9386 9424 9610 9728 9880 9920 10075 10184 10240 10385 10400 10720 11191 11552 11780 12160 12350 12400 12493 12730 12800 12896 13312 13400 13936 14440 14725 15200 15314 15376 15808 15872 16120 16549 16616 16640 17152 17420 17956 18050 18259 18772 18848 19220 19456 19760 19840 20150 20368 20480 20770 20800 21440 21775 22382 22445 23104 23465 23560 24025 24187 24320 24700 24800 24986 25460 25600 25792 26624 26800 27001 27872 28880 29450 30400 30628 30752 31616 31744 31825 32240 33098 33232 33280 34304 34840 35912 36100 36518 37544 37696 38285 38440 38912 39463 39520 39680 40300 40736 41540 41600 42880 43550 44764 44890 46208 46930 47120 48050 48374 48640 49400 49600 49972 50920 51200 51584 51925 53248 53600 54002 55744 55955 57760 58357 58900 60800 61256 61504 62465 63232 63488 63650 64387 64480 66196 66464 66560 68608 69680 71824 72200 73036 75088 75392 76570 76880 77824 78926 79040 79360 80600 81472 82745 83080 83200 85291 85760 87100 89528 89780 91295 92416 93860 94240 96100 96748 97280 98800 99200 99944 101840 102400 103168 103850 107200 108004 111488 111910 112225 115520 116714 117325 117800 120935 121600 122512 123008 124930 126464 126976 127300 128774 128960 132392 132928 133120 135005 137216 139159 139360 143648 144400 145483 146072 150176 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229708091392 230294229100 230910617600 231226594400 237723075200 238015559680 238685516800 240475658176 241734552800 248232937472 249172539040 249532441600 257210362880 261229274800 262286883200 269267098640 269656025600 270747750400 272778358528 274581580850 277953134080 282296151800 283439051200 285564844084 287135114240 292582246400 294776613248 295970040832 297519449600 300594572720 304285536256 309420227584 310291171840 311465673800 321512953600 323924300752 325705502720 334373471744 335727210496 336583873300 340972948160 347441417600 350047228232 351464423488 351972075520 356956055105 358918892800 361339074304 362801985536 368470766560 369962551040 375743215900 380356920320 386775284480 387863964800 398676062464 400375705600 404905375940 407131878400 417364002892 417966839680 419659013120 426216185200 430827357824 431449640960 437559035290 439330529360 439965094400 441746329600 444725014528 451673842880 453502481920 460588458200 461821235200 462453188800 475446150400 476031119360 477371033600 480951316352 483469105600 496465874944 498345078080 499064883200 506131719925 514420725760 521705003615 522458549600 524573766400 538534197280 539312051200 545556717056 549163161700 555906268160 564592303600 566878102400 571129688168 574270228480 585164492800 589553226496 591940081664 595038899200 601189145440 618840455168 620582343680 622931347600 643025907200 647848601504 668746943488 673167746600 681945896320 694882835200 700094456464 702928846976 703944151040 713912110210 717837785600 722678148608 725603971072 736941533120 739925102080 751486431800 760713840640 773550568960 775727929600 797352124928 809810751880 814263756800 834728005784 835933679360 839318026240 852432370400 861654715648 875118070580 878661058720 879930188800 903347685760 907004963840 921176916400 924906377600 950892300800 954742067200 961902632704 966938211200 996690156160 998129766400 1012263439850 1028841451520 1043410007230 1044917099200 1049147532800 1077068394560 1078624102400 1091113434112 1093897588225 1098326323400 1111812536320 1129184607200 1133756204800 1142259376336 1148540456960 1179106452992 1183880163328 1190077798400 1202378290880 1237680910336 1241164687360 1245862695200 1286051814400 1295697203008 1337493886976 1346335493200 1356433009399 1363891792640 1389765670400 1400188912928 1405857693952 1427824220420 1435675571200 1445356297216 1473883066240 1479850204160 1502972863600 1521427681280 1547101137920 1551455859200 1594704249856 1619621503760 1628527513600 1669456011568 1671867358720 1678636052480 1704864740800 1723309431296 1750236141160 1757322117440 1759860377600 1784780275525 1806695371520 1814009927680 1842353832800 1849812755200 1901784601600 1923805265408 1933876422400 1993380312320 2024526879700 2086820014460 2089834198400 2098295065600 2154136789120 2157248204800 2182226868224 2187795176450 2196652646800 2223625072640 2258369214400 2267512409600 2284518752672 2358212905984 2380155596800 2404756581760 2482329374720 2491725390400 2572103628800 2591394406016 2608525018075 2674987773952 2692670986400 2712866018798 2727783585280 2779531340800 2800377825856 2811715387904 2855648440840 2871351142400 2890712594432 2947766132480 2959700408320 3005945727200 3094202275840 3102911718400 3189408499712 3239243007520 3338912023136 3343734717440 3409729481600 3446618862592 3500472282320 3514644234880 3519720755200 3569560551050 3613390743040 3628019855360 3684707665600 3699625510400 3803569203200 3847610530816 3867752844800 3986760624640 4049053759400 4173640028920 4179668396800 4196590131200 4308273578240 4364453736448 4375590352900 4393305293600 4516738428800 4535024819200 4569037505344 4716425811968 4809513163520 4983450780800 5144207257600 5182788812032 5217050036150 5385341972800 5425732037596 5455567170560 5559062681600 5600755651712 5623430775808 5711296881680 5742702284800 5781425188864 5895532264960 5919400816640 6011891454400 6188404551680 6205823436800 6378816999424 6478486015040 6677824046272 6687469434880 6782165046995 6819458963200 6893237725184 7000944564640 7029288469760 7139121102100 7226781486080 7369415331200 7399251020800 7607138406400 7695221061632 7735505689600 7973521249280 8098107518800 8347280057840 8359336793600 8393180262400 8616547156480 8751180705800 8786610587200 9033476857600 9070049638400 9138075010688 9432851623936 9619026327040 9966901561600 10365577624064 10434100072300 10770683945600 10851464075192 10911134341120 11118125363200 11201511303424 11246861551616 11422593763360 11791064529920 12023782908800 12411646873600 12956972030080 13355648092544 13374938869760 13564330093990 13638917926400 13786475450368 14001889129280 14058576939520 14278242204200 14453562972160 14738830662400 14798502041600 15390442123264 15471011379200 15947042498560 16196215037600 16694560115680 16718673587200 17233094312960 17502361411600 17573221174400 18066953715200 18140099276800 18276150021376 19238052654080 19933803123200 20731155248128 20868200144600 21541367891200 21702928150384 21822268682240 22403022606848 22493723103232 22845187526720 23582129059840 24047565817600 25913944060160 26711296185088 27128660187980 27277835852800 28003778258560 28117153879040 28556484408400 28907125944320 29477661324800 29597004083200 30942022758400 31894084997120 32392430075200 33389120231360 33437347174400 33910825234975 34466188625920 35004722823200 35146442348800 36133907430400 36552300042752 38476105308160 39867606246400 41462310496256 41736400289200 43082735782400 43405856300768 44806045213696 45690375053440 47164258119680 48095131635200 51827888120320 53422592370176 54257320375960 54555671705600 56007556517120 56234307758080 57112968816800 58955322649600 64784860150400 66778240462720 66874694348800 67821650469950 68932377251840 70009445646400 70292884697600 72267814860800 73104600085504 76952210616320 79735212492800 82924620992512 83472800578400 86165471564800 86811712601536 89612090427392 91380750106880 96190263270400 103655776240640 106845184740352 108514640751920 109111343411200 112015113034240 112468615516160 114225937633600 117910645299200 129569720300800 133556480925440 135643300939900 140018891292800 140585769395200 144535629721600 146209200171008 159470424985600 166945601156800 172330943129600 173623425203072 179224180854784 182761500213760 192380526540800 207311552481280 213690369480704 217029281503840 224030226068480 228451875267200 235821290598400 259139440601600 267112961850880 271286601879800 280037782585600 281171538790400 292418400342016 333891202313600 344661886259200 347246850406144 365523000427520 384761053081600 414623104962560 427380738961408 434058563007680 448060452136960 456903750534400 518278881203200 534225923701760 542573203759600 560075565171200 562343077580800 667782404627200 694493700812288 731046000855040 868117126015360 896120904273920 913807501068800 1036557762406400 1068451847403520 1085146407519200 1120151130342400 1335564809254400 1388987401624576 1462092001710080 1736234252030720 1827615002137600 2073115524812800 2136903694807040 2170292815038400 2240302260684800 2671129618508800 2777974803249152 3472468504061440 3655230004275200 4340585630076800 4480604521369600 5342259237017600 5555949606498304 6944937008122880 7310460008550400 8681171260153600 10684518474035200 13889874016245760 17362342520307200 27779748032491520 34724685040614400 69449370081228800 138898740162457600
- Sum of all divisors σ(n): 410635160856854640
- Sum of proper divisors (its aliquot sum) s(n): 271736420694397040
- 138898740162457600 is an abundant number, because the sum of its proper divisors (271736420694397040) is greater than itself. Its abundance is 132837680531939440
Bases of 138898740162457600
- Binary: 1111011010111011110101011000100110010000111110000000000002
- Hexadecimal: 0x1ED77AB1321F000
- Base-36: 11ZNHSC1J4SG
Squares and roots of 138898740162457600
- 138898740162457600 squared (1388987401624576002) is 19292860018717911913240471797760000
- 138898740162457600 cubed (1388987401624576003) is 2679753950730566115956957896150854093531774976000000
-
The
square root of 138898740162457600 is 372691212.8860266007 -
The
cube root of 138898740162457600 is 517884.3281151503
Scales and comparisons
How big is 138898740162457600?- 138,898,740,162,457,600 seconds is equal to 4,416,550,295 years, 7 weeks, 6 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,898,740,162,457,600 would take you about thirteen billion, two hundred forty-nine million, six hundred fifty thousand, eight hundred eighty-five 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 138898740162457600 cubic inches would be around 43157 feet tall.
Recreational maths with 138898740162457600
- 138898740162457600 backwards is 006754261047898831
- The number of decimal digits it has is: 18
- The sum of 138898740162457600's digits is 79
- More coming soon!
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"Number 138898740162457600 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138898740162457600 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138898740162457600/
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Numbermatics. 2024. "Number 138898740162457600 - Facts about the integer". https://numbermatics.com/n/138898740162457600/
The information we have on file for 138898740162457600 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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