131294920948320
131,294,920,948,320 is an even composite number composed of seven prime numbers multiplied together.
131294920948320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131294920948320:
25 × 3 × 5 × 19 × 23 × 89 × 7032913
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 23 × 89 × 7032913)See below for interesting mathematical facts about the number 131294920948320 from the Numbermatics database.
Names of 131294920948320
- Cardinal: 131294920948320 can be written as One hundred thirty-one trillion, two hundred ninety-four billion, nine hundred twenty million, nine hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3129492094832 × 1014
Factors of 131294920948320
Divisors of 131294920948320
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 32 38 40 46 48 57 60 69 76 80 89 92 95 96 114 115 120 138 152 160 178 184 190 228 230 240 267 276 285 304 345 356 368 380 437 445 456 460 480 534 552 570 608 690 712 736 760 874 890 912 920 1068 1104 1140 1311 1335 1380 1424 1520 1691 1748 1780 1824 1840 2047 2136 2185 2208 2280 2622 2670 2760 2848 3040 3382 3496 3560 3680 4094 4272 4370 4560 5073 5244 5340 5520 6141 6555 6764 6992 7120 8188 8455 8544 8740 9120 10146 10235 10488 10680 11040 12282 13110 13528 13984 14240 16376 16910 17480 20292 20470 20976 21360 24564 25365 26220 27056 30705 32752 33820 34960 38893 40584 40940 41952 42720 49128 50730 52440 54112 61410 65504 67640 69920 77786 81168 81880 98256 101460 104880 116679 122820 135280 155572 162336 163760 194465 196512 202920 209760 233358 245640 270560 311144 327520 388930 405840 466716 491280 583395 622288 777860 811680 933432 982560 1166790 1244576 1555720 1866864 2333580 3111440 3733728 4667160 6222880 7032913 9334320 14065826 18668640 21098739 28131652 35164565 42197478 56263304 70329130 84394956 105493695 112526608 133625347 140658260 161756999 168789912 210987390 225053216 267250694 281316520 323513998 337579824 400876041 421974780 485270997 534501388 562633040 625929257 647027996 668126735 675159648 801752082 808784995 843949560 970541994 1069002776 1125266080 1251858514 1294055992 1336253470 1603504164 1617569990 1687899120 1877787771 1941083988 2004380205 2138005552 2426354985 2503717028 2588111984 2672506940 3073382981 3129646285 3207008328 3235139980 3375798240 3755575542 3882167976 4008760410 4276011104 4852709970 5007434056 5176223968 5345013880 6146765962 6259292570 6414016656 6470279960 7511151084 7764335952 8017520820 9220148943 9388938855 9705419940 10014868112 10690027760 11892655883 12293531924 12518585140 12828033312 12940559920 14396372911 15022302168 15366914905 15528671904 16035041640 18440297886 18777877710 19410839880 20029736224 21380055520 23785311766 24587063848 25037170280 25881119840 28792745822 30044604336 30733829810 32070083280 35677967649 36880595772 37555755420 38821679760 43189118733 46100744715 47570623532 49174127696 50074340560 57585491644 59463279415 60089208672 61467659620 64140166560 71355935298 71981864555 73761191544 75111510840 77643359520 86378237466 92201489430 95141247064 98348255392 100148681120 115170983288 118926558830 122935319240 142711870596 143963729110 147522383088 150223021680 172756474932 178389838245 184402978860 190282494128 215945593665 230341966576 237853117660 245870638480 273531085309 285423741192 287927458220 295044766176 300446043360 345512949864 356779676490 368805957720 380564988256 431891187330 460683933152 475706235320 491741276960 547062170618 570847482384 575854916440 691025899728 713559352980 737611915440 820593255927 863782374660 951412470640 1094124341236 1141694964768 1151709832880 1367655426545 1382051799456 1427118705960 1475223830880 1641186511854 1727564749320 1902824941280 2188248682472 2303419665760 2735310853090 2854237411920 3282373023708 3455129498640 4102966279635 4376497364944 5470621706180 5708474823840 6564746047416 6910258997280 8205932559270 8752994729888 10941243412360 13129492094832 16411865118540 21882486824720 26258984189664 32823730237080 43764973649440 65647460474160 131294920948320
- Sum of all divisors σ(n): 459378689817600
- Sum of proper divisors (its aliquot sum) s(n): 328083768869280
- 131294920948320 is an abundant number, because the sum of its proper divisors (328083768869280) is greater than itself. Its abundance is 196788847920960
Bases of 131294920948320
- Binary: 111011101101001011110110001111110111010011000002
- Hexadecimal: 0x77697B1FBA60
- Base-36: 1AJG1XZXPC
Squares and roots of 131294920948320
- 131294920948320 squared (1312949209483202) is 17238356266825597968110822400
- 131294920948320 cubed (1312949209483203) is 2263308623331843554131324043261063098368000
-
The
square root of 131294920948320 is 11458399.5805836689 -
The
cube root of 131294920948320 is 50825.6149557109
Scales and comparisons
How big is 131294920948320?- 131,294,920,948,320 seconds is equal to 4,174,772 years, 18 weeks, 6 days, 14 hours, 32 minutes.
-
To count from 1 to 131,294,920,948,320 would take you about ten million, four hundred thirty-six thousand, nine hundred thirty 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 131294920948320 cubic inches would be around 4235.5 feet tall.
Recreational maths with 131294920948320
- 131294920948320 backwards is 023849029492131
- 131294920948320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131294920948320's digits is 57
- More coming soon!
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