137128799109120
137,128,799,109,120 is an even composite number composed of seven prime numbers multiplied together.
137128799109120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 137128799109120:
218 × 3 × 5 × 7 × 132 × 41 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 41 × 719)See below for interesting mathematical facts about the number 137128799109120 from the Numbermatics database.
Names of 137128799109120
- Cardinal: 137128799109120 can be written as One hundred thirty-seven trillion, one hundred twenty-eight billion, seven hundred ninety-nine million, one hundred nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3712879910912 × 1014
Factors of 137128799109120
Divisors of 137128799109120
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 41 42 48 52 56 60 64 65 70 78 80 82 84 91 96 104 105 112 120 123 128 130 140 156 160 164 168 169 182 192 195 205 208 210 224 240 246 256 260 273 280 287 312 320 328 336 338 364 384 390 410 416 420 448 455 480 492 507 512 520 533 546 560 574 615 624 640 656 672 676 719 728 768 780 820 832 840 845 861 896 910 960 984 1014 1024 1040 1066 1092 1120 1148 1183 1230 1248 1280 1312 1344 1352 1365 1435 1438 1456 1536 1560 1599 1640 1664 1680 1690 1722 1792 1820 1920 1968 2028 2048 2080 2132 2157 2184 2240 2296 2366 2460 2496 2535 2560 2624 2665 2688 2704 2730 2870 2876 2912 3072 3120 3198 3280 3328 3360 3380 3444 3549 3584 3595 3640 3731 3840 3936 4056 4096 4160 4264 4305 4314 4368 4480 4592 4732 4920 4992 5033 5070 5120 5248 5330 5376 5408 5460 5740 5752 5824 5915 6144 6240 6396 6560 6656 6720 6760 6888 6929 7098 7168 7190 7280 7462 7680 7872 7995 8112 8192 8320 8528 8610 8628 8736 8960 9184 9347 9464 9840 9984 10066 10140 10240 10496 10660 10752 10785 10816 10920 11193 11480 11504 11648 11830 12288 12480 12792 13120 13312 13440 13520 13776 13858 14196 14336 14380 14560 14924 15099 15360 15744 15990 16224 16384 16640 17056 17220 17256 17472 17745 17920 18368 18655 18694 18928 19680 19968 20132 20280 20480 20787 20992 21320 21504 21570 21632 21840 22386 22960 23008 23296 23660 24576 24960 25165 25584 26240 26624 26880 27040 27552 27716 28041 28392 28672 28760 29120 29479 29848 30198 30720 31488 31980 32448 32768 33280 34112 34440 34512 34645 34944 35490 35840 36736 37310 37388 37856 39360 39936 40264 40560 40960 41574 41984 42640 43008 43140 43264 43680 44772 45920 46016 46592 46735 47320 48503 49152 49920 50330 51168 52480 53248 53760 54080 55104 55432 55965 56082 56784 57344 57520 58240 58958 59696 60396 61440 62976 63960 64896 65429 65536 66560 68224 68880 69024 69290 69888 70980 71680 73472 74620 74776 75495 75712 78720 79872 80528 81120 81920 83148 83968 85280 86016 86280 86528 87360 88437 89544 91840 92032 93184 93470 94640 97006 98304 99840 100660 102336 103935 104960 106496 107520 108160 110208 110864 111930 112164 113568 114688 115040 116480 117916 119392 120792 121511 122880 125952 127920 129792 130858 131072 133120 136448 137760 138048 138580 139776 140205 141960 143360 145509 146944 147395 149240 149552 150990 151424 157440 159744 161056 162240 163840 166296 167936 170560 172032 172560 173056 174720 176874 179088 183680 184064 186368 186940 189280 194012 196287 196608 199680 201320 204672 206353 207870 209920 212992 215040 216320 220416 221728 223860 224328 227136 229376 230080 232960 235832 238784 241584 242515 243022 245760 251904 255840 259584 261716 262144 266240 272896 275520 276096 277160 279552 280410 283920 286720 291018 293888 294790 298480 299104 301980 302848 314880 319488 322112 324480 327145 327680 332592 335872 341120 344064 345120 346112 349440 353748 358176 364533 367360 368128 372736 373880 378560 383227 388024 392574 393216 399360 402640 409344 412706 415740 419840 425984 430080 432640 440832 442185 443456 447720 448656 454272 458752 460160 465920 471664 477568 483168 485030 486044 491520 503808 511680 519168 523432 532480 545792 551040 552192 554320 559104 560820 567840 573440 582036 587776 589580 596960 598208 603960 605696 607555 619059 629760 638976 644224 648960 654290 655360 665184 671744 682240 688128 690240 692224 698880 707496 716352 727545 729066 734720 736256 745472 747760 757120 766454 776048 785148 786432 798720 805280 818688 825412 831480 839680 850577 851968 860160 865280 881664 884370 886912 895440 897312 908544 917504 920320 931840 943328 955136 966336 970060 972088 981435 983040 1007616 1023360 1031765 1038336 1046864 1064960 1091584 1102080 1104384 1108640 1118208 1121640 1135680 1146880 1149681 1164072 1175552 1179160 1193920 1196416 1207920 1211392 1215110 1238118 1259520 1277952 1288448 1297920 1308580 1310720 1330368 1343488 1364480 1376256 1380480 1384448 1397760 1414992 1432704 1455090 1458132 1469440 1472512 1490944 1495520 1514240 1532908 1552096 1570296 1597440 1610560 1637376 1650824 1662960 1679360 1701154 1703936 1720320 1730560 1763328 1768740 1773824 1790880 1794624 1817088 1822665 1835008 1840640 1863680 1886656 1910272 1916135 1932672 1940120 1944176 1962870 1966080 2015232 2046720 2063530 2076672 2093728 2129920 2183168 2204160 2208768 2217280 2236416 2243280 2271360 2293760 2299362 2328144 2351104 2358320 2387840 2392832 2415840 2422784 2430220 2476236 2519040 2551731 2555904 2576896 2595840 2617160 2660736 2682589 2686976 2728960 2752512 2760960 2768896 2795520 2829984 2865408 2910180 2916264 2938880 2945024 2981888 2991040 3028480 3065816 3095295 3104192 3140592 3194880 3221120 3274752 3301648 3325920 3358720 3402308 3407872 3440640 3461120 3526656 3537480 3547648 3581760 3589248 3634176 3645330 3681280 3727360 3773312 3820544 3832270 3865344 3880240 3888352 3925740 3932160 4030464 4093440 4127060 4153344 4187456 4252885 4259840 4366336 4408320 4417536 4434560 4472832 4486560 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5359943680 5449187328 5493942272 5579785120 5795807232 5886366720 5960048640 5972508672 6125649920 6278791168 6339164160 6357385216 6376897280 6431932416 6532431360 6596853760 6695742144 6761775104 6811484160 6867427840 6967926784 7244759040 7335444480 7350779904 7465635840 7652276736 7727742976 7848488960 7946731520 7963344896 8039915520 8240913408 8369677680 8452218880 8575909888 8709908480 8927656192 9081978880 9188474880 9418186752 9536077824 9565345920 9659678720 9895280640 9954181120 10142662656 10203035648 10301141760 10451890176 10719887360 10987884544 11159570240 11591614464 11772733440 11920097280 11945017344 12251299840 12557582336 12678328320 12714770432 12753794560 12863864832 13064862720 13391484288 13523550208 13622968320 13734855680 13935853568 14489518080 14670888960 14931271680 15304553472 15696977920 15893463040 15926689792 16079831040 16481826816 16739355360 16904437760 17151819776 17419816960 17855312384 18376949760 18836373504 19072155648 19130691840 19319357440 19790561280 19908362240 20285325312 20406071296 20602283520 20903780352 21439774720 21975769088 22319140480 23183228928 23545466880 23840194560 23890034688 25115164672 25356656640 25507589120 25727729664 26129725440 26782968576 27047100416 27245936640 27469711360 27871707136 28979036160 29862543360 30609106944 31393955840 31786926080 31853379584 32159662080 32963653632 33478710720 33808875520 34839633920 35710624768 36753899520 37672747008 38144311296 38261383680 38638714880 39816724480 40570650624 40812142592 41204567040 41807560704 42879549440 43951538176 44638280960 47090933760 47680389120 47780069376 50230329344 50713313280 51015178240 51455459328 52259450880 53565937152 54094200832 54939422720 55743414272 57958072320 59725086720 61218213888 62787911680 63573852160 64319324160 65927307264 66957421440 67617751040 69679267840 71421249536 75345494016 76522767360 79633448960 81141301248 81624285184 82409134080 83615121408 85759098880 87903076352 89276561920 94181867520 95360778240 95560138752 100460658688 101426626560 102030356480 104518901760 107131874304 109878845440 111486828544 115916144640 119450173440 122436427776 125575823360 128638648320 131854614528 133914842880 135235502080 139358535680 142842499072 150690988032 153045534720 159266897920 162282602496 163248570368 164818268160 167230242816 175806152704 178553123840 188363735040 190721556480 202853253120 204060712960 209037803520 214263748608 219757690880 222973657088 238900346880 244872855552 251151646720 257277296640 263709229056 267829685760 270471004160 278717071360 285684998144 301381976064 306091069440 326497140736 329636536320 334460485632 351612305408 357106247680 376727470080 405706506240 408121425920 418075607040 428527497216 439515381760 477800693760 489745711104 502303293440 527418458112 535659371520 557434142720 571369996288 612182138880 652994281472 659273072640 668920971264 703224610816 714212495360 753454940160 811413012480 816242851840 836151214080 857054994432 879030763520 979491422208 1054836916224 1071318743040 1114868285440 1142739992576 1224364277760 1305988562944 1318546145280 1428424990720 1506909880320 1632485703680 1672302428160 1714109988864 1758061527040 1958982844416 2109673832448 2142637486080 2285479985152 2448728555520 2637092290560 2856849981440 3264971407360 3344604856320 3428219977728 3516123054080 3917965688832 4285274972160 4570959970304 4897457111040 5274184581120 5713699962880 6529942814720 6856439955456 8570549944320 9141919940608 9794914222080 10548369162240 11427399925760 13712879910912 17141099888640 19589828444160 22854799851520 27425759821824 34282199777280 45709599703040 68564399554560 137128799109120
- Sum of all divisors σ(n): 557061564487680
- Sum of proper divisors (its aliquot sum) s(n): 419932765378560
- 137128799109120 is an abundant number, because the sum of its proper divisors (419932765378560) is greater than itself. Its abundance is 282803966269440
Bases of 137128799109120
- Binary: 111110010110111110010010101110000000000000000002
- Hexadecimal: 0x7CB7C95C0000
- Base-36: 1CLW3MFFUO
Squares and roots of 137128799109120
- 137128799109120 squared (1371287991091202) is 18804307545109390105667174400
- 137128799109120 cubed (1371287991091203) is 2578612111739415028134959367525947670528000
-
The
square root of 137128799109120 is 11710200.6434185405 -
The
cube root of 137128799109120 is 51567.5174533107
Scales and comparisons
How big is 137128799109120?- 137,128,799,109,120 seconds is equal to 4,360,271 years, 33 weeks, 3 days, 13 hours, 52 minutes.
-
To count from 1 to 137,128,799,109,120 would take you about ten million, nine hundred thousand, six hundred seventy-nine 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 137128799109120 cubic inches would be around 4297.3 feet tall.
Recreational maths with 137128799109120
- 137128799109120 backwards is 021901997821731
- 137128799109120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137128799109120's digits is 60
- More coming soon!
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"Number 137128799109120 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 137128799109120 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/137128799109120/
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The information we have on file for 137128799109120 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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