137816057200640
137,816,057,200,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137816057200640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
137816057200640 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 137816057200640:
214 × 5 × 7 × 13 × 37 × 61 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 37 × 61 × 8191)See below for interesting mathematical facts about the number 137816057200640 from the Numbermatics database.
Names of 137816057200640
- Cardinal: 137816057200640 can be written as One hundred thirty-seven trillion, eight hundred sixteen billion, fifty-seven million, two hundred thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3781605720064 × 1014
Factors of 137816057200640
Divisors of 137816057200640
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 37 40 52 56 61 64 65 70 74 80 91 104 112 122 128 130 140 148 160 182 185 208 224 244 256 259 260 280 296 305 320 364 370 416 427 448 455 481 488 512 518 520 560 592 610 640 728 740 793 832 854 896 910 962 976 1024 1036 1040 1120 1184 1220 1280 1295 1456 1480 1586 1664 1708 1792 1820 1924 1952 2048 2072 2080 2135 2240 2257 2368 2405 2440 2560 2590 2912 2960 3172 3328 3367 3416 3584 3640 3848 3904 3965 4096 4144 4160 4270 4480 4514 4736 4810 4880 5120 5180 5551 5824 5920 6344 6656 6734 6832 7168 7280 7696 7808 7930 8191 8192 8288 8320 8540 8960 9028 9472 9620 9760 10240 10360 11102 11285 11648 11840 12688 13312 13468 13664 14336 14560 15392 15616 15799 15860 16382 16384 16576 16640 16835 17080 17920 18056 18944 19240 19520 20480 20720 22204 22570 23296 23680 25376 26624 26936 27328 27755 28672 29120 29341 30784 31232 31598 31720 32764 33152 33280 33670 34160 35840 36112 37888 38480 39040 40955 40960 41440 44408 45140 46592 47360 50752 53248 53872 54656 55510 57337 57344 58240 58682 61568 62464 63196 63440 65528 66304 66560 67340 68320 71680 72224 75776 76960 78080 78995 81910 81920 82880 88816 90280 93184 94720 101504 106483 106496 107744 109312 111020 114674 114688 116480 117364 123136 124928 126392 126880 131056 132608 133120 134680 136640 143360 144448 146705 151552 153920 156160 157990 163820 165760 177632 180560 186368 189440 203008 205387 212966 212992 215488 218624 222040 229348 232960 234728 246272 249856 252784 253760 262112 265216 266240 269360 273280 286685 286720 288896 293410 303067 303104 307840 312320 315980 327640 331520 355264 361120 372736 378880 406016 410774 425932 430976 437248 444080 458696 465920 469456 492544 499651 499712 505568 507520 524224 530432 532415 532480 538720 546560 573370 573440 577792 586820 606134 606208 615680 624640 631960 655280 663040 710528 722240 745381 745472 757760 812032 821548 851864 861952 874496 888160 917392 931840 938912 985088 999302 999424 1011136 1015040 1026935 1048448 1060864 1064830 1064960 1077440 1093120 1146740 1155584 1173640 1212268 1231360 1249280 1263920 1310560 1326080 1421056 1444480 1490762 1490944 1515335 1515520 1624064 1643096 1703728 1723904 1748992 1776320 1834784 1863680 1877824 1970176 1998604 2022272 2030080 2053870 2096896 2121469 2121728 2129660 2154880 2186240 2293480 2311168 2347280 2424536 2462720 2498255 2498560 2527840 2621120 2652160 2842112 2888960 2981524 3030670 3031040 3248128 3286192 3407456 3447808 3497557 3497984 3552640 3669568 3726905 3727360 3755648 3939871 3940352 3997208 4044544 4060160 4107740 4193792 4242938 4243456 4259320 4309760 4372480 4586960 4622336 4694560 4849072 4925440 4996510 4997120 5055680 5242240 5304320 5684224 5777920 5963048 6061340 6495463 6496256 6572384 6814912 6895616 6995114 6995968 7105280 7339136 7453810 7454720 7511296 7879742 7880704 7994416 8089088 8120320 8215480 8387584 8485876 8518640 8619520 8744960 9173920 9244672 9389120 9698144 9850880 9993020 10111360 10484480 10607345 10608640 11368448 11555840 11926096 12122680 12990926 12992512 13144768 13629824 13791232 13990228 14210560 14678272 14907620 15022592 15759484 15988832 16178176 16240640 16430960 16775168 16971752 17037280 17239040 17487785 17489920 18347840 18487087 18489344 18778240 19396288 19699355 19701760 19986040 20222720 20968960 21214690 21217280 22736896 23111680 23852192 24245360 25981852 26289536 27259648 27579097 27582464 27980456 28421120 29356544 29815240 30045184 31518968 31977664 32356352 32477315 32481280 32861920 33550336 33943504 34074560 34478080 34975570 34979840 36695680 36974174 36978688 37556480 38792576 39398710 39403520 39972080 40445440 41937920 42429380 45468241 45473792 46223360 47704384 48490720 51963704 52579072 54519296 55158194 55164928 55960912 56842240 58713088 59630480 60090368 63037936 63955328 64712704 64954630 64962560 65723840 67100672 67887008 68149120 68956160 69951140 73391360 73948348 75112960 77585152 78797420 79944160 80890880 83875840 84858760 90936482 90947584 92435435 92446720 95408768 96981440 103927408 105158144 109038592 110316388 111921824 113684480 117426176 119260960 120180736 126075872 127910656 129409609 129425408 129909260 131447680 134201344 135774016 136298240 137895485 137912320 139902280 146782720 147896696 150225920 155170304 157594840 159888320 161781760 167751680 169717520 181872964 184870870 184893440 190817536 193962880 207854816 210316288 218077184 220632776 223843648 227341205 227368960 234852352 238521920 240332131 240361472 252151744 255821312 258819218 258850816 259818520 262895360 271548032 272596480 275790970 275824640 279804560 293565440 295793392 300451840 310340608 315189680 319776640 323563520 335503360 339435040 363745928 369741740 381635072 387925760 415709632 420632576 436154368 441265552 447687296 454682410 454737920 469704704 477043840 480664262 480722944 504303488 511642624 517638436 519637040 525790720 543096064 545192960 551581940 559609120 587130880 591586784 600903680 620681216 630379360 639553280 647048045 647127040 671006720 678870080 727491856 739483480 763270144 775851520 831419264 841265152 872308736 882531104 895374592 909364820 939409408 954087680 961328524 1008606976 1023285248 1035276872 1039274080 1051581440 1086192128 1090385920 1103163880 1119218240 1174261760 1183173568 1201660655 1201807360 1241362432 1260758720 1279106560 1294096090 1294254080 1357740160 1454983712 1478966960 1526540288 1551703040 1662838528 1682324917 1682530304 1744617472 1765062208 1790749184 1818729640 1908175360 1922657048 2017213952 2046570496 2070553744 2078548160 2103162880 2172384256 2180771840 2206327760 2238436480 2348523520 2366347136 2403321310 2403614720 2482724864 2521517440 2558213120 2588192180 2715480320 2909967424 2957933920 3053080576 3103406080 3325677056 3364649834 3365060608 3530124416 3581498368 3637459280 3816350720 3845314096 4034427904 4093140992 4141107488 4157096320 4206325760 4344768512 4361543680 4412655520 4476872960 4697047040 4732694272 4806642620 4965449728 5043034880 5116426240 5176384360 5430960640 5819934848 5915867840 6106161152 6206812160 6651354112 6729299668 7060248832 7162996736 7274918560 7632701440 7690628192 8068855808 8186281984 8282214976 8314192640 8411624585 8412651520 8689537024 8723087360 8825311040 8953745920 9465388544 9613285240 10086069760 10232852480 10352768720 10861921280 11639869696 11831735680 12212322304 12413624320 13302708224 13458599336 14120497664 14325993472 14549837120 15265402880 15381256384 16137711616 16564429952 16628385280 16823249170 16825303040 17379074048 17650622080 17907491840 18930777088 19226570480 20172139520 20465704960 20705537440 21723842560 23279739392 23663471360 24827248640 26605416448 26917198672 28240995328 28651986944 29099674240 30530805760 30762512768 32275423232 33128859904 33256770560 33646498340 34758148096 35301244160 35814983680 37861554176 38453140960 40344279040 40931409920 41411074880 43447685120 46559478784 47326942720 53210832896 53834397344 56481990656 57303973888 58199348480 61061611520 61525025536 64550846464 66257719808 66513541120 67292996680 70602488320 71629967360 75723108352 76906281920 80688558080 82822149760 86895370240 93118957568 94653885440 106421665792 107668794688 112963981312 116398696960 123050051072 132515439616 133027082240 134585993360 141204976640 143259934720 151446216704 153812563840 161377116160 165644299520 173790740480 186237915136 189307770880 215337589376 225927962624 232797393920 246100102144 265030879232 266054164480 269171986720 282409953280 286519869440 302892433408 307625127680 322754232320 331288599040 372475830272 378615541760 430675178752 451855925248 465594787840 492200204288 530061758464 532108328960 538343973440 564819906560 615250255360 662577198080 744951660544 757231083520 861350357504 931189575680 984400408576 1060123516928 1076687946880 1129639813120 1230500510720 1325154396160 1514462167040 1722700715008 1862379151360 1968800817152 2120247033856 2153375893760 2259279626240 2461001021440 2650308792320 3445401430016 3724758302720 3937601634304 4306751787520 4922002042880 5300617584640 6890802860032 8613503575040 9844004085760 10601235169280 13781605720064 17227007150080 19688008171520 27563211440128 34454014300160 68908028600320 137816057200640
- Sum of all divisors σ(n): 424982634037248
- Sum of proper divisors (its aliquot sum) s(n): 287166576836608
- 137816057200640 is an abundant number, because the sum of its proper divisors (287166576836608) is greater than itself. Its abundance is 149350519635968
Bases of 137816057200640
- Binary: 111110101010111110011010010001001000000000000002
- Hexadecimal: 0x7D57CD224000
- Base-36: 1CUNTM5H4W
Squares and roots of 137816057200640
- 137816057200640 squared (1378160572006402) is 18993265622330076393216409600
- 137816057200640 cubed (1378160572006403) is 2617576981433991095486173646303887622144000
-
The
square root of 137816057200640 is 11739508.3883712949 -
The
cube root of 137816057200640 is 51653.5221246319
Scales and comparisons
How big is 137816057200640?- 137,816,057,200,640 seconds is equal to 4,382,124 years, 16 weeks, 6 days, 15 hours, 17 minutes, 20 seconds.
-
To count from 1 to 137,816,057,200,640 would take you about ten million, nine hundred fifty-five thousand, three hundred ten 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 137816057200640 cubic inches would be around 4304.5 feet tall.
Recreational maths with 137816057200640
- 137816057200640 backwards is 046002750618731
- The number of decimal digits it has is: 15
- The sum of 137816057200640's digits is 50
- More coming soon!
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The information we have on file for 137816057200640 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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