137485357873920
137,485,357,873,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 137485357873920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
137485357873920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137485357873920:
28 × 32 × 5 × 72 × 31 × 28032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 31 × 2803 × 2803)See below for interesting mathematical facts about the number 137485357873920 from the Numbermatics database.
Names of 137485357873920
- Cardinal: 137485357873920 can be written as One hundred thirty-seven trillion, four hundred eighty-five billion, three hundred fifty-seven million, eight hundred seventy-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3748535787392 × 1014
Factors of 137485357873920
Divisors of 137485357873920
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 49 56 60 62 63 64 70 72 80 84 90 93 96 98 105 112 120 124 126 128 140 144 147 155 160 168 180 186 192 196 210 217 224 240 245 248 252 256 279 280 288 294 310 315 320 336 360 372 384 392 420 434 441 448 465 480 490 496 504 558 560 576 588 620 630 640 651 672 720 735 744 768 784 840 868 882 896 930 960 980 992 1008 1085 1116 1120 1152 1176 1240 1260 1280 1302 1344 1395 1440 1470 1488 1519 1568 1680 1736 1764 1792 1860 1920 1953 1960 1984 2016 2170 2205 2232 2240 2304 2352 2480 2520 2604 2688 2790 2803 2880 2940 2976 3038 3136 3255 3360 3472 3528 3720 3840 3906 3920 3968 4032 4340 4410 4464 4480 4557 4704 4960 5040 5208 5376 5580 5606 5760 5880 5952 6076 6272 6510 6720 6944 7056 7440 7595 7812 7840 7936 8064 8409 8680 8820 8928 8960 9114 9408 9765 9920 10080 10416 11160 11212 11520 11760 11904 12152 12544 13020 13440 13671 13888 14015 14112 14880 15190 15624 15680 16128 16818 17360 17640 17856 18228 18816 19530 19621 19840 20160 20832 22320 22424 22785 23520 23808 24304 25227 26040 26880 27342 27776 28030 28224 29760 30380 31248 31360 33636 34720 35280 35712 36456 37632 39060 39242 39680 40320 41664 42045 44640 44848 45570 47040 48608 50454 52080 54684 55552 56060 56448 58863 59520 60760 62496 62720 67272 68355 69440 70560 71424 72912 78120 78484 80640 83328 84090 86893 89280 89696 91140 94080 97216 98105 100908 104160 109368 112120 112896 117726 119040 121520 124992 126135 134544 136710 137347 138880 141120 145824 156240 156968 166656 168180 173786 176589 178560 179392 182280 188160 194432 196210 201816 208320 218736 224240 235452 243040 249984 252270 260679 269088 273420 274694 277760 282240 291648 294315 312480 313936 336360 347572 353178 357120 358784 364560 388864 392420 403632 412041 416640 434465 437472 448480 470904 486080 499968 504540 521358 538176 546840 549388 564480 583296 588630 608251 624960 627872 672720 686735 695144 706356 717568 729120 782037 784840 807264 824082 833280 868930 874944 882945 896960 941808 972160 1009080 1042716 1076352 1093680 1098776 1166592 1177260 1216502 1236123 1249920 1255744 1303395 1345440 1373470 1390288 1412712 1458240 1564074 1569680 1614528 1648164 1737860 1749888 1765890 1793920 1824753 1883616 1944320 2018160 2060205 2085432 2152704 2187360 2197552 2354520 2433004 2472246 2499840 2511488 2606790 2690880 2746940 2780576 2825424 2916480 3041255 3128148 3139360 3229056 3296328 3475720 3499776 3531780 3587840 3649506 3767232 3910185 4036320 4120410 4170864 4257757 4374720 4395104 4709040 4866008 4944492 5022976 5213580 5381760 5474259 5493880 5561152 5650848 5832960 6082510 6180615 6256296 6278720 6458112 6592656 6951440 7063560 7299012 7534464 7820370 7856809 8072640 8240820 8341728 8515514 8749440 8790208 9123765 9418080 9732016 9888984 10427160 10763520 10948518 10987760 11122304 11301696 12165020 12361230 12512592 12557440 12773271 13185312 13902880 14127120 14598024 15068928 15640740 15713618 16145280 16481640 16683456 17031028 17498880 17580416 18247530 18836160 19464032 19777968 20854320 21288785 21897036 21975520 22244608 22603392 23570427 24330040 24722460 25025184 25114880 25546542 26370624 27371295 27805760 28254240 29196048 31281480 31427236 32290560 32963280 33366912 34062056 35160832 36495060 37672320 38319813 38928064 39284045 39555936 41708640 42577570 43794072 43951040 45206784 47140854 48660080 49444920 50050368 51093084 52741248 54742590 54997663 55611520 56508480 58392096 62562960 62854472 63866355 65926560 66733824 68124112 70711281 72990120 75344640 76639626 77856128 78568090 79111872 83417280 85155140 87588144 87902080 94281708 97320160 98889840 100100736 102186168 105482496 109485180 109995326 111223040 113016960 116784192 117852135 125125920 125708944 127732710 131853120 136248224 141422562 145980240 153279252 155712256 157136180 158223744 164992989 166834560 170310280 175176288 175804160 188563416 191599065 194640320 197779680 200201472 204372336 218970360 219990652 226033920 233568384 235704270 243561079 250251840 251417888 255465420 263706240 272496448 274988315 282845124 291960480 306558504 314272360 316447488 329985978 333669120 340620560 350352576 353556405 377126832 383198130 384983641 389280640 395559360 408744672 437940720 439981304 467136768 471408540 487122158 494978967 500503680 502835776 510930840 527412480 544992896 549976630 565690248 583920960 613117008 628544720 659971956 681241120 700705152 707112810 730683237 754253664 766396260 769967282 778561280 791118720 817489344 824964945 875881440 879962608 942817080 974244316 989957934 1001007360 1005671552 1021861680 1089985792 1099953260 1131380496 1154950923 1167841920 1217805395 1226234016 1257089440 1319943912 1362482240 1401410304 1414225620 1461366474 1508507328 1532792520 1539934564 1582237440 1634978688 1649929890 1704927553 1751762880 1759925216 1885634160 1924918205 1948488632 1979915868 2011343104 2043723360 2192049711 2199906520 2262760992 2309901846 2335683840 2435610790 2452468032 2474894835 2514178880 2639887824 2724964480 2828451240 2922732948 3017014656 3065585040 3079869128 3269957376 3299859780 3409855106 3464852769 3503525760 3519850432 3653416185 3771268320 3849836410 3896977264 3959831736 4087446720 4384099422 4399813040 4525521984 4619803692 4871221580 4904936064 4949789670 5028357760 5114782659 5279775648 5449928960 5656902480 5774754615 5845465896 6034029312 6131170080 6159738256 6599719560 6819710212 6929705538 7007051520 7039700864 7306832370 7542536640 7699672820 7793954528 7919663472 8174893440 8524637765 8768198844 8799626080 9051043968 9239607384 9742443160 9809872128 9899579340 10056715520 10229565318 10559551296 10960248555 11313804960 11549509230 11690931792 11934492871 12262340160 12319476512 13199439120 13639420424 13859411076 14079401728 14613664740 15085073280 15344347977 15399345640 15587909056 15839326944 16349786880 17049275530 17324263845 17536397688 17599252160 18102087936 18479214768 19484886320 19799158680 20459130636 21119102592 21920497110 22627609920 23099018460 23381863584 23868985742 24524680320 24638953024 25573913295 26398878240 27278840848 27718822152 29227329480 30170146560 30688695954 30798691280 31175818112 31678653888 34098551060 34648527690 35072795376 35198504320 35803478613 36958429536 38969772640 39598317360 40918261272 42238205184 43840994220 45255219840 46198036920 46763727168 47737971484 49049360640 49277906048 51147826590 52797756480 54557681696 55437644304 58454658960 59672464355 61377391908 61597382560 62351636224 63357307776 68197102120 69297055380 70145590752 70397008640 71606957226 73916859072 76721739885 77939545280 79196634720 81836522544 87681988440 90510439680 92396073840 93527454336 95475942968 98555812096 102295653180 105595512960 107410435839 109115363392 110875288608 116909317920 119344928710 122754783816 123194765120 126714615552 136394204240 138594110760 140291181504 143213914452 147833718144 153443479770 155879090560 158393269440 163673045088 175363976880 179017393065 184792147680 187054908672 190951885936 204591306360 211191025920 214820871678 218230726784 221750577216 233818635840 238689857420 245509567632 246389530240 272788408480 277188221520 280582363008 286427828904 295667436288 306886959540 311758181120 316786538880 327346090176 350727953760 358034786130 369584295360 381903771872 409182612720 429641743356 436461453568 443501154432 467637271680 477379714840 491019135264 492779060480 537052179195 545576816960 554376443040 561164726016 572855657808 613773919080 633573077760 654692180352 701455907520 716069572260 739168590720 763807543744 818365225440 859283486712 887002308864 935274543360 954759429680 982038270528 1074104358390 1091153633920 1108752886080 1145711315616 1227547838160 1309384360704 1402911815040 1432139144520 1478337181440 1527615087488 1636730450880 1718566973424 1909518859360 1964076541056 2148208716780 2182307267840 2217505772160 2291422631232 2455095676320 2805823630080 2864278289040 3055230174976 3273460901760 3437133946848 3819037718720 3928153082112 4296417433560 4435011544320 4582845262464 4910191352640 5728556578080 6546921803520 6874267893696 7638075437440 8592834867120 9165690524928 9820382705280 11457113156160 13748535787392 15276150874880 17185669734240 19640765410560 22914226312320 27497071574784 34371339468480 45828452624640 68742678936960 137485357873920
- Sum of all divisors σ(n): 571401661836096
- Sum of proper divisors (its aliquot sum) s(n): 433916303962176
- 137485357873920 is an abundant number, because the sum of its proper divisors (433916303962176) is greater than itself. Its abundance is 296430946088256
Bases of 137485357873920
- Binary: 111110100001010110011011110101011111011000000002
- Hexadecimal: 0x7D0ACDEAFB00
- Base-36: 1CQFWGB7K0
Squares and roots of 137485357873920
- 137485357873920 squared (1374853578739202) is 18902223629719856142616166400
- 137485357873920 cubed (1374853578739203) is 2598778980344901506241003231630524940288000
-
The
square root of 137485357873920 is 11725415.0405825721 -
The
cube root of 137485357873920 is 51612.1736137703
Scales and comparisons
How big is 137485357873920?- 137,485,357,873,920 seconds is equal to 4,371,609 years, 5 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 137,485,357,873,920 would take you about ten million, nine hundred twenty-nine thousand and 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 137485357873920 cubic inches would be around 4301 feet tall.
Recreational maths with 137485357873920
- 137485357873920 backwards is 029378753584731
- 137485357873920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137485357873920's digits is 72
- More coming soon!
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The information we have on file for 137485357873920 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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