397380813680803840000
397,380,813,680,803,840,000 is an even composite number composed of three prime numbers multiplied together.
What does the number 397380813680803840000 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 1155 divisors.
397380813680803840000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-five divisors.
Prime factorization of 397380813680803840000:
232 × 54 × 236
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 23 × 23 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 397380813680803840000 from the Numbermatics database.
Names of 397380813680803840000
- Cardinal: 397380813680803840000 can be written as Three hundred ninety-seven quintillion, three hundred eighty quadrillion, eight hundred thirteen trillion, six hundred eighty billion, eight hundred three million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 3.9738081368080384 × 1020
Factors of 397380813680803840000
Divisors of 397380813680803840000
- Number of divisors d(n): 1155
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 512 529 575 625 640 736 800 920 1000 1024 1058 1150 1250 1280 1472 1600 1840 2000 2048 2116 2300 2500 2560 2645 2875 2944 3200 3680 4000 4096 4232 4600 5000 5120 5290 5750 5888 6400 7360 8000 8192 8464 9200 10000 10240 10580 11500 11776 12167 12800 13225 14375 14720 16000 16384 16928 18400 20000 20480 21160 23000 23552 24334 25600 26450 28750 29440 32000 32768 33856 36800 40000 40960 42320 46000 47104 48668 51200 52900 57500 58880 60835 64000 65536 66125 67712 73600 80000 81920 84640 92000 94208 97336 102400 105800 115000 117760 121670 128000 131072 132250 135424 147200 160000 163840 169280 184000 188416 194672 204800 211600 230000 235520 243340 256000 262144 264500 270848 279841 294400 304175 320000 327680 330625 338560 368000 376832 389344 409600 423200 460000 471040 486680 512000 524288 529000 541696 559682 588800 608350 640000 655360 661250 677120 736000 753664 778688 819200 846400 920000 942080 973360 1024000 1048576 1058000 1083392 1119364 1177600 1216700 1280000 1310720 1322500 1354240 1399205 1472000 1507328 1520875 1557376 1638400 1692800 1840000 1884160 1946720 2048000 2097152 2116000 2166784 2238728 2355200 2433400 2560000 2621440 2645000 2708480 2798410 2944000 3014656 3041750 3114752 3276800 3385600 3680000 3768320 3893440 4096000 4194304 4232000 4333568 4477456 4710400 4866800 5120000 5242880 5290000 5416960 5596820 5888000 6029312 6083500 6229504 6436343 6553600 6771200 6996025 7360000 7536640 7604375 7786880 8192000 8388608 8464000 8667136 8954912 9420800 9733600 10240000 10485760 10580000 10833920 11193640 11776000 12058624 12167000 12459008 12872686 13107200 13542400 13992050 14720000 15073280 15208750 15573760 16384000 16777216 16928000 17334272 17909824 18841600 19467200 20480000 20971520 21160000 21667840 22387280 23552000 24117248 24334000 24918016 25745372 26214400 27084800 27984100 29440000 30146560 30417500 31147520 32181715 32768000 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23474764513280000 24254200053760000 24836300855050240 26995979190272000 27643882690838528 30047698576998400 31045376068812800 32660541931520000 33744973987840000 34554853363548160 37559623221248000 38806720086016000 39738081368080384 43193566704435200 46949529026560000 48508400107520000 49672601710100480 53991958380544000 62090752137625600 67489947975680000 69109706727096320 75119246442496000 77613440172032000 79476162736160768 86387133408870400 93899058053120000 97016800215040000 99345203420200960 107983916761088000 124181504275251200 134979895951360000 138219413454192640 150238492884992000 155226880344064000 158952325472321536 172774266817740800 187798116106240000 194033600430080000 198690406840401920 215967833522176000 248363008550502400 269959791902720000 310453760688128000 317904650944643072 345548533635481600 375596232212480000 388067200860160000 397380813680803840 431935667044352000 496726017101004800 539919583805440000 620907521376256000 635809301889286144 691097067270963200 751192464424960000 776134401720320000 794761627361607680 863871334088704000 993452034202009600 1079839167610880000 1241815042752512000 1552268803440640000 1589523254723215360 1727742668177408000 1986904068404019200 2159678335221760000 2483630085505024000 3104537606881280000 3179046509446430720 3455485336354816000 3973808136808038400 4319356670443520000 4967260171010048000 6209075213762560000 7947616273616076800 8638713340887040000 9934520342020096000 12418150427525120000 15895232547232153600 17277426681774080000 19869040684040192000 24836300855050240000 39738081368080384000 49672601710100480000 79476162736160768000 99345203420200960000 198690406840401920000 397380813680803840000
- Sum of all divisors σ(n): 1038276589559390291803
- Sum of proper divisors (its aliquot sum) s(n): 640895775878586451803
- 397380813680803840000 is an abundant number, because the sum of its proper divisors (640895775878586451803) is greater than itself. Its abundance is 243514962197782611803
Bases of 397380813680803840000
- Binary: 1010110001010110001000100000010100001000000000000000000000000000000002
- Hexadecimal: 0x158AC440A100000000
- Base-36: 2BV42LZIYK9I4G
Squares and roots of 397380813680803840000
- 397380813680803840000 squared (3973808136808038400002) is 157911511081617736328937708558745600000000
- 397380813680803840000 cubed (3973808136808038400003) is 62751004763178528542180810358279679895767670063104000000000000
-
397380813680803840000 is a
perfect square number . Itssquare root is 19934412800 -
The
cube root of 397380813680803840000 is 7351945.8261949725 - Being both a perfect square and a perfect cube, 397380813680803840000 is also a
perfect sixth number .
Scales and comparisons
How big is 397380813680803840000?- 397,380,813,680,803,840,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 397,380,813,680,803,840,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 397380813680803840000 cubic inches would be around 612662.2 feet tall.
Recreational maths with 397380813680803840000
- 397380813680803840000 backwards is 000048308086318083793
- The number of decimal digits it has is: 21
- The sum of 397380813680803840000's digits is 79
- More coming soon!
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"Number 397380813680803840000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 397380813680803840000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/397380813680803840000/
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The information we have on file for 397380813680803840000 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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