137439011832320
137,439,011,832,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137439011832320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
137439011832320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137439011832320:
29 × 5 × 112 × 29 × 31 × 37 × 13339
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 29 × 31 × 37 × 13339)See below for interesting mathematical facts about the number 137439011832320 from the Numbermatics database.
Names of 137439011832320
- Cardinal: 137439011832320 can be written as One hundred thirty-seven trillion, four hundred thirty-nine billion, eleven million, eight hundred thirty-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3743901183232 × 1014
Factors of 137439011832320
Divisors of 137439011832320
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 29 31 32 37 40 44 55 58 62 64 74 80 88 110 116 121 124 128 145 148 155 160 176 185 220 232 242 248 256 290 296 310 319 320 341 352 370 407 440 464 484 496 512 580 592 605 620 638 640 682 704 740 814 880 899 928 968 992 1073 1147 1160 1184 1210 1240 1276 1280 1364 1408 1480 1595 1628 1705 1760 1798 1856 1936 1984 2035 2146 2294 2320 2368 2420 2480 2552 2560 2728 2816 2960 3190 3256 3410 3509 3520 3596 3712 3751 3872 3968 4070 4292 4477 4495 4588 4640 4736 4840 4960 5104 5365 5456 5632 5735 5920 6380 6512 6820 7018 7040 7192 7424 7502 7744 7936 8140 8584 8954 8990 9176 9280 9472 9680 9889 9920 10208 10730 10912 11470 11803 11840 12617 12760 13024 13339 13640 14036 14080 14384 14848 15004 15488 15872 16280 17168 17545 17908 17980 18352 18560 18755 18944 19360 19778 19840 20416 21460 21824 22385 22940 23606 23680 25234 25520 26048 26678 27280 28072 28160 28768 30008 30976 32560 33263 34336 35090 35816 35960 36704 37120 37510 38720 39556 39680 40832 42920 43648 44770 45880 47212 47360 49445 50468 51040 52096 53356 54560 56144 57536 59015 60016 61952 63085 65120 66526 66695 68672 70180 71632 71920 73408 74240 75020 77440 79112 79360 81664 85840 87296 89540 91760 94424 94720 98890 100936 102080 104192 106712 108779 109120 112288 115072 118030 120032 126170 129833 130240 133052 133390 137344 138787 140360 143264 143840 146729 146816 150040 154880 158224 163328 166315 171680 174592 179080 183520 188848 197780 201872 204160 208384 213424 217558 218240 224576 230144 236060 240064 252340 259666 260480 266104 266780 274688 277574 280720 286528 287680 293458 293632 300080 309760 316448 332630 343360 358160 365893 367040 377696 386831 395560 403744 408320 413509 426848 435116 436480 449152 460288 472120 480128 493543 504680 519332 520960 532208 533560 543895 549376 555148 561440 573056 575360 586916 587264 600160 632896 649165 665260 686720 693935 716320 731786 733645 734080 755392 773662 791120 807488 816640 827018 853696 870232 872960 898304 944240 960256 987086 1009360 1038664 1041920 1064416 1067120 1087790 1110296 1122880 1146112 1150720 1173832 1200320 1265792 1298330 1330520 1373440 1387870 1432640 1463572 1467290 1468160 1510784 1547324 1582240 1614019 1614976 1654036 1707392 1740464 1796608 1829465 1888480 1920512 1934155 1974172 2018720 2067545 2077328 2128832 2134240 2175580 2220592 2245760 2292224 2301440 2347664 2400640 2467715 2531584 2596660 2661040 2746880 2775740 2865280 2927144 2934580 2936320 3021568 3094648 3164480 3228038 3229952 3308072 3414784 3480928 3658930 3776960 3868310 3948344 4024823 4037440 4135090 4154656 4255141 4257664 4268480 4351160 4441184 4491520 4548599 4695328 4801280 4935430 5063168 5193320 5322080 5428973 5551480 5730560 5854288 5869160 6043136 6189296 6328960 6456076 6459904 6616144 6829568 6961856 7317860 7553920 7736620 7896688 8049646 8070095 8074880 8270180 8309312 8510282 8515328 8536960 8702320 8882368 8983040 9097198 9390656 9602560 9870860 10386640 10644160 10857946 11102960 11461120 11708576 11738320 11991761 12378592 12657920 12912152 13232288 13923712 14312747 14635720 15107840 15299833 15473240 15793376 16099292 16140190 16149760 16540360 16618624 17020564 17030656 17073920 17404640 17764736 18194396 18781312 19741720 20124115 20773280 21275705 21288320 21715892 22205920 22742995 23417152 23476640 23983522 24757184 25315840 25824304 26464576 27144865 27847424 28625494 29271440 30215680 30599666 30946480 31586752 32198584 32280380 32299520 33080720 33237248 34041128 34147840 34809280 35529472 36388792 37562624 39483440 40248230 41546560 42551410 42576640 43431784 44411840 45485990 46806551 46834304 46953280 47967044 49514368 50034589 51648608 52929152 54289730 55694848 57250988 58542880 59718703 59958805 61199332 61892960 63173504 64397168 64560760 66161440 66474496 68082256 69618560 71058944 71563735 72777584 75125248 76499165 78966880 80496460 83093120 85102820 85153280 86863568 88823680 90971980 93613102 93668608 93906560 95934088 99028736 100069178 103297216 105858304 108579460 114501976 117085760 119437406 119917610 122398664 123785920 126347008 128794336 129121520 131909371 132322880 136164512 139237120 143127470 145555168 152998330 157440217 157933760 160992920 166186240 168298163 170205640 173727136 177647360 181943960 187226204 187337216 187813120 191868176 198057472 200138356 206594432 211716608 217158920 229003952 234032755 234171520 238874812 239835220 244797328 247571840 250172945 252694016 257588672 258243040 263818742 264645760 272329024 278474240 286254940 291110336 298593515 305996660 314880434 315867520 321985840 332372480 336596326 340411280 347454272 355294720 363887920 374452408 375626240 383736352 400276712 413188864 434317840 443695157 458007904 468065510 468343040 477749624 479670440 489594656 495143680 500345890 515177344 516486080 527637484 529291520 544658048 572509880 582220672 597187030 611993320 629760868 631735040 643971680 659546855 673192652 680822560 694908544 727775840 748904816 767472704 787201085 800553424 826377728 841490815 868635680 887390314 916015808 936131020 936686080 955499248 959340880 979189312 990287360 1000691780 1030354688 1032972160 1055274968 1058583040 1089316096 1145019760 1164441344 1194374060 1223986640 1259521736 1263470080 1287943360 1319093710 1346385304 1361645120 1389817088 1451003081 1455551680 1497809632 1534945408 1574402170 1601106848 1682981630 1731842387 1737271360 1774780628 1832031616 1851279793 1872262040 1910998496 1918681760 1958378624 2001383560 2060709376 2065944320 2110549936 2178632192 2218475785 2290039520 2328882688 2388748120 2447973280 2519043472 2575886720 2638187420 2692770608 2723290240 2779634176 2902006162 2911103360 2995619264 3069890816 3148804340 3202213696 3365963260 3463684774 3474542720 3549561256 3664063232 3702559586 3744524080 3821996992 3837363520 3916757248 4002767120 4131888640 4221099872 4436951570 4580079040 4777496240 4880646727 4895946560 5038086944 5151773440 5276374840 5385541216 5446580480 5804012324 5822206720 5991238528 6139781632 6297608680 6404427392 6731926520 6927369548 6949085440 7099122512 7255015405 7328126464 7405119172 7489048160 7643993984 7674727040 7833514496 8005534240 8442199744 8659211935 8873903140 9160158080 9256398965 9554992480 9761293454 9791893120 10076173888 10303546880 10552749680 10771082432 10893160960 11608024648 11644413440 11982477056 12595217360 12808854784 13463853040 13854739096 13898170880 14198245024 14510030810 14810238344 14978096320 15287987968 15349454080 16011068480 16884399488 17318423870 17747806280 18320316160 18512797930 19109984960 19522586908 19583786240 20152347776 21105499360 21542164864 23216049296 23964954112 24403233635 25190434720 25617709568 26927706080 27709478192 28396490048 29020061620 29620476688 29956192640 30575975936 30698908160 32022136960 33768798976 34636847740 35495612560 36640632320 37025595860 38219969920 39045173816 39167572480 40304695552 42210998720 43084329728 46432098592 48806467270 50380869440 53687113997 53855412160 55418956384 56792980096 58040123240 59240953376 59912385280 64044273920 67537597952 69273695480 70991225120 74051191720 76439939840 78090347632 80609391104 84421997440 86168659456 92864197184 97612934540 100761738880 107374227994 107710824320 110837912768 113585960192 116080246480 118481906752 119824770560 128088547840 138547390960 141982450240 148102383440 152879879680 156180695264 168843994880 185728394368 195225869080 201523477760 214748455988 215421648640 221675825536 227171920384 232160492960 236963813504 268435569985 277094781920 283964900480 296204766880 312361390528 337687989760 371456788736 390451738160 403046955520 429496911976 430843297280 443351651072 464320985920 473927627008 536871139970 554189563840 567929800960 592409533760 624722781056 742913577472 780903476320 858993823952 886703302144 928641971840 947855254016 1073742279940 1108379127680 1135859601920 1184819067520 1249445562112 1561806952640 1717987647904 1857283943680 2147484559880 2216758255360 2369638135040 2498891124224 3123613905280 3435975295808 3714567887360 4294969119760 4433516510720 4739276270080 6247227810560 6871950591616 8589938239520 12494455621120 13743901183232 17179876479040 27487802366464 34359752958080 68719505916160 137439011832320
- Sum of all divisors σ(n): 397273122892800
- Sum of proper divisors (its aliquot sum) s(n): 259834111060480
- 137439011832320 is an abundant number, because the sum of its proper divisors (259834111060480) is greater than itself. Its abundance is 122395099228160
Bases of 137439011832320
- Binary: 111110100000000000000110111101010000010000000002
- Hexadecimal: 0x7D00037A8200
- Base-36: 1CPULZ2OZK
Squares and roots of 137439011832320
- 137439011832320 squared (1374390118323202) is 18889481973444596963796582400
- 137439011832320 cubed (1374390118323203) is 2596151736454647306135212035143177863168000
-
The
square root of 137439011832320 is 11723438.5669188373 -
The
cube root of 137439011832320 is 51606.3735081821
Scales and comparisons
How big is 137439011832320?- 137,439,011,832,320 seconds is equal to 4,370,135 years, 23 weeks, 2 days, 14 hours, 45 minutes, 20 seconds.
-
To count from 1 to 137,439,011,832,320 would take you about ten million, nine hundred twenty-five thousand, three hundred thirty-eight 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 137439011832320 cubic inches would be around 4300.5 feet tall.
Recreational maths with 137439011832320
- 137439011832320 backwards is 023238110934731
- The number of decimal digits it has is: 15
- The sum of 137439011832320's digits is 47
- More coming soon!
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The information we have on file for 137439011832320 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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