137997974650224640
137,997,974,650,224,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 137997974650224640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1656 divisors.
137997974650224640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred fifty-six divisors.
Prime factorization of 137997974650224640:
222 × 5 × 72 × 89 × 1092 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 89 × 109 × 109 × 127)See below for interesting mathematical facts about the number 137997974650224640 from the Numbermatics database.
Names of 137997974650224640
- Cardinal: 137997974650224640 can be written as One hundred thirty-seven quadrillion, nine hundred ninety-seven trillion, nine hundred seventy-four billion, six hundred fifty million, two hundred twenty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3799797465022464 × 1017
Factors of 137997974650224640
Divisors of 137997974650224640
- Number of divisors d(n): 1656
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 89 98 109 112 127 128 140 160 178 196 218 224 245 254 256 280 320 356 392 436 445 448 490 508 512 545 560 623 635 640 712 763 784 872 889 890 896 980 1016 1024 1090 1120 1246 1270 1280 1424 1526 1568 1744 1778 1780 1792 1960 2032 2048 2180 2240 2492 2540 2560 2848 3052 3115 3136 3488 3556 3560 3584 3815 3920 4064 4096 4360 4361 4445 4480 4984 5080 5120 5341 5696 6104 6223 6230 6272 6976 7112 7120 7168 7630 7840 8128 8192 8720 8722 8890 8960 9701 9968 10160 10240 10682 11303 11392 11881 12208 12446 12460 12544 13843 13952 14224 14240 14336 15260 15680 16256 16384 17440 17444 17780 17920 19402 19936 20320 20480 21364 21805 22606 22784 23762 24416 24892 24920 25088 26705 27686 27904 28448 28480 28672 30520 31115 31360 32512 32768 34880 34888 35560 35840 38804 39872 40640 40960 42728 43610 45212 45568 47524 48505 48832 49784 49840 50176 53410 55372 55808 56515 56896 56960 57344 59405 61040 62230 62720 65024 65536 67907 69215 69760 69776 71120 71680 77608 79121 79744 81280 81920 83167 85456 87220 90424 91136 95048 96901 97010 97664 99568 99680 100352 106820 110744 111616 113030 113792 113920 114688 118810 122080 124460 125440 130048 131072 135814 138430 139520 139552 142240 143360 155216 158242 159488 162560 163840 166334 170912 174440 180848 182272 190096 193802 194020 195328 199136 199360 200704 213640 221488 223232 226060 227584 227840 229376 237620 244160 248920 250880 260096 262144 271628 276860 279040 279104 284480 286720 310432 316484 318976 325120 327680 332668 339535 341824 348880 361696 364544 380192 387604 388040 390656 395605 398272 398720 401408 415835 427280 442976 446464 452120 455168 455680 458752 475240 475349 484505 488320 497840 501760 520192 524288 543256 553720 553847 558080 558208 568960 573440 582169 620864 632968 637952 650240 655360 665336 678307 679070 683648 697760 723392 729088 760384 775208 776080 781312 791210 796544 797440 802816 831670 854560 885952 892928 904240 910336 911360 917504 950480 950698 969010 976640 995680 1003520 1040384 1048576 1057409 1086512 1107440 1107694 1116160 1116416 1137920 1146880 1164338 1232027 1241728 1265936 1275904 1300480 1310720 1330672 1356614 1358140 1367296 1395520 1446784 1458176 1508887 1520768 1550416 1552160 1562624 1582420 1593088 1594880 1605632 1663340 1709120 1771904 1785856 1808480 1820672 1822720 1835008 1900960 1901396 1938020 1953280 1991360 2007040 2080768 2097152 2114818 2173024 2214880 2215388 2232320 2232832 2275840 2293760 2328676 2376745 2464054 2483456 2531872 2551808 2600960 2621440 2661344 2713228 2716280 2734592 2769235 2791040 2893568 2910845 2916352 3017774 3041536 3100832 3104320 3125248 3164840 3186176 3189760 3211264 3326680 3391535 3418240 3543808 3571712 3616960 3641344 3645440 3670016 3801920 3802792 3876040 3906560 3982720 4014080 4161536 4194304 4229636 4346048 4429760 4430776 4464640 4465664 4551680 4587520 4657352 4753490 4928108 4966912 5063744 5103616 5201920 5242880 5287045 5322688 5426456 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269527294238720 271649556398080 281628519694336 308031193415680 310107808202752 316509116170240 352035649617920 387634760253440 431243670781952 492849909465088 539054588477440 543299112796160 563257039388672 616062386831360 633018232340480 704071299235840 775269520506880 862487341563904 985699818930176 1078109176954880 1086598225592320 1232124773662720 1266036464680960 1408142598471680 1550539041013760 1724974683127808 1971399637860352 2156218353909760 2464249547325440 2816285196943360 3449949366255616 3942799275720704 4312436707819520 4928499094650880 6899898732511232 8624873415639040 9856998189301760 13799797465022464 17249746831278080 19713996378603520 27599594930044928 34499493662556160 68998987325112320 137997974650224640
- Sum of all divisors σ(n): 396299784909934080
- Sum of proper divisors (its aliquot sum) s(n): 258301810259709440
- 137997974650224640 is an abundant number, because the sum of its proper divisors (258301810259709440) is greater than itself. Its abundance is 120303835609484800
Bases of 137997974650224640
- Binary: 1111010100100010001101101010000101100000000000000000000002
- Hexadecimal: 0x1EA446D42C00000
- Base-36: 11QS76DCMH34
Squares and roots of 137997974650224640
- 137997974650224640 squared (1379979746502246402) is 19043441007564042352550802463129600
- 137997974650224640 cubed (1379979746502246403) is 2627956289414871093406771187618193112729957433344000
-
The
square root of 137997974650224640 is 371480786.3809710415 -
The
cube root of 137997974650224640 is 516762.3971328707
Scales and comparisons
How big is 137997974650224640?- 137,997,974,650,224,640 seconds is equal to 4,387,908,738 years, 5 weeks, 6 days, 21 hours, 30 minutes, 40 seconds.
-
To count from 1 to 137,997,974,650,224,640 would take you about thirteen billion, one hundred sixty-three million, seven hundred twenty-six thousand, two hundred fourteen 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 137997974650224640 cubic inches would be around 43063.5 feet tall.
Recreational maths with 137997974650224640
- 137997974650224640 backwards is 046422056479799731
- The number of decimal digits it has is: 18
- The sum of 137997974650224640's digits is 85
- More coming soon!
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"Number 137997974650224640 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 137997974650224640 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137997974650224640/
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The information we have on file for 137997974650224640 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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