138113227311681310
138,113,227,311,681,310 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138113227311681310 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 256 divisors.
138113227311681310 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138113227311681310:
2 × 5 × 13 × 17 × 31 × 41 × 61681 × 797161
See below for interesting mathematical facts about the number 138113227311681310 from the Numbermatics database.
Names of 138113227311681310
- Cardinal: 138113227311681310 can be written as One hundred thirty-eight quadrillion, one hundred thirteen trillion, two hundred twenty-seven billion, three hundred eleven million, six hundred eighty-one thousand, three hundred ten.
Scientific notation
- Scientific notation: 1.3811322731168131 × 1017
Factors of 138113227311681310
Divisors of 138113227311681310
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 5 10 13 17 26 31 34 41 62 65 82 85 130 155 170 205 221 310 403 410 442 527 533 697 806 1054 1066 1105 1271 1394 2015 2210 2542 2635 2665 3485 4030 5270 5330 6355 6851 6970 9061 12710 13702 16523 18122 21607 33046 34255 43214 45305 61681 68510 82615 90610 108035 123362 165230 216070 280891 308405 561782 616810 797161 801853 1048577 1404455 1594322 1603706 1912111 2097154 2528921 2808910 3824222 3985805 4009265 5057842 5242885 7971610 8018530 9560555 10363093 10485770 12644605 13551737 13631501 19121110 20726186 24711991 24857443 25289210 27103474 27263002 32505887 32683601 32875973 42991657 49423982 49714886 51815465 65011774 65367202 65751946 67758685 68157505 78396551 85983314 103630930 123559955 124287215 135517370 136315010 156793102 162529435 163418005 164379865 176172581 214958285 247119910 248574430 321255883 325058870 326836010 328759730 352345162 391982755 420103847 422576531 424886813 429916570 555621217 558891541 642511766 783965510 840207694 845153062 849773626 880862905 1013191631 1019155163 1111242434 1117783082 1332741367 1606279415 1761725810 2026383262 2038310326 2100519235 2112882655 2124434065 2665482734 2778106085 2794457705 3212558830 4201038470 4225765310 4248868130 5065958155 5095775815 5461350011 5556212170 5588915410 6663706835 7223075821 10131916310 10191551630 10922700022 13171491203 13327413670 14446151642 17224257727 17325637771 26342982406 27306750055 34448515454 34651275542 36115379105 49169687641 54613500110 65857456015 72230758210 86121288635 86628188855 98339375282 131714912030 172242577270 173256377710 223915350451 245848438205 447830700902 491696876410 639205939333 835884689897 1119576752255 1278411878666 1524260316871 1671769379794 2015957193281 2239153504510 3048520633742 3196029696665 4031914386562 4179423449485 6392059393330 7621301584355 8358846898970 10079785966405 10866500968661 15242603168710 19815384119323 20159571932810 21733001937322 25912425386807 26207443512653 34271272285777 39630768238646 51824850773614 52414887025306 54332504843305 62494672991711 68542544571554 99076920596615 108665009686610 124989345983422 129562126934035 131037217563265 171356361428885 198153841193230 259124253868070 262074435126530 312473364958555 336861530028491 342712722857770 445526539715101 624946729917110 673723060056982 812430748892243 891053079430202 1062409440859087 1624861497784486 1684307650142455 2124818881718174 2227632698575505 3368615300284910 4062153744461215 4455265397151010 5312047204295435 8124307488922430 10624094408590870 13811322731168131 27622645462336262 69056613655840655 138113227311681310
- Sum of all divisors σ(n): 299762532856313856
- Sum of proper divisors (its aliquot sum) s(n): 161649305544632546
- 138113227311681310 is an abundant number, because the sum of its proper divisors (161649305544632546) is greater than itself. Its abundance is 23536078232951236
Bases of 138113227311681310
- Binary: 1111010101010110100111111100111001011001000001111000111102
- Hexadecimal: 0x1EAAD3F9CB20F1E
- Base-36: 11RX1WPNIPZY
Squares and roots of 138113227311681310
- 138113227311681310 squared (1381132273116813102) is 19075263558448152136519979003316100
- 138113227311681310 cubed (1381132273116813103) is 2634546211878180538254100475110076168980756392091000
-
The
square root of 138113227311681310 is 371635880.0111761409 -
The
cube root of 138113227311681310 is 516906.2196995973
Scales and comparisons
How big is 138113227311681310?- 138,113,227,311,681,310 seconds is equal to 4,391,573,416 years, 12 weeks, 6 days, 19 hours, 55 minutes, 10 seconds.
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To count from 1 to 138,113,227,311,681,310 would take you about thirteen billion, one hundred seventy-four million, seven hundred twenty thousand, two hundred forty-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 138113227311681310 cubic inches would be around 43075.5 feet tall.
Recreational maths with 138113227311681310
- 138113227311681310 backwards is 013186113722311831
- The number of decimal digits it has is: 18
- The sum of 138113227311681310's digits is 52
- More coming soon!
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