131438976032812500
131,438,976,032,812,500 is an even composite number composed of five prime numbers multiplied together.
What does the number 131438976032812500 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1944 divisors.
131438976032812500 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 131438976032812500:
22 × 35 × 58 × 132 × 1273
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 127 × 127 × 127)See below for interesting mathematical facts about the number 131438976032812500 from the Numbermatics database.
Names of 131438976032812500
- Cardinal: 131438976032812500 can be written as One hundred thirty-one quadrillion, four hundred thirty-eight trillion, nine hundred seventy-six billion, thirty-two million, eight hundred twelve thousand, five hundred.
Scientific notation
- Scientific notation: 1.314389760328125 × 1017
Factors of 131438976032812500
Divisors of 131438976032812500
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 81 90 100 108 117 125 127 130 135 150 156 162 169 180 195 225 234 243 250 254 260 270 300 324 325 338 351 375 381 390 405 450 468 486 500 507 508 540 585 625 635 650 675 676 702 750 762 780 810 845 900 972 975 1014 1053 1125 1143 1170 1215 1250 1270 1300 1350 1404 1500 1521 1524 1620 1625 1651 1690 1755 1875 1905 1950 2025 2028 2106 2250 2286 2340 2430 2500 2535 2540 2700 2925 3042 3125 3159 3175 3250 3302 3375 3380 3429 3510 3750 3810 3900 4050 4212 4225 4500 4563 4572 4860 4875 4953 5070 5265 5625 5715 5850 6075 6084 6250 6318 6350 6500 6604 6750 6858 7020 7500 7605 7620 8100 8125 8255 8450 8775 9126 9375 9525 9750 9906 10125 10140 10287 10530 11250 11430 11700 12150 12500 12636 12675 12700 13500 13689 13716 14625 14859 15210 15625 15795 15875 16129 16250 16510 16875 16900 17145 17550 18252 18750 19050 19500 19812 20250 20574 21060 21125 21463 22500 22815 22860 24300 24375 24765 25350 26325 27378 28125 28575 29250 29718 30375 30420 30861 31250 31590 31750 32258 32500 33020 33750 34290 35100 37500 38025 38100 40500 40625 41067 41148 41275 42250 42926 43875 44577 45630 46875 47625 48387 48750 49530 50625 50700 51435 52650 54756 56250 57150 58500 59436 60750 61722 62500 63180 63375 63500 64389 64516 67500 68445 68580 73125 74295 76050 78125 78975 79375 80645 81250 82134 82550 84375 84500 85725 85852 87750 89154 91260 93750 95250 96774 97500 99060 101250 102870 105300 105625 107315 112500 114075 114300 121500 121875 123444 123825 126750 128778 131625 133731 136890 140625 142875 145161 146250 148590 151875 152100 154305 156250 157950 158750 161290 162500 164268 165100 168750 171450 175500 178308 187500 190125 190500 193167 193548 202500 203125 205335 205740 206375 209677 211250 214630 219375 222885 228150 234375 238125 241935 243750 247650 253125 253500 257175 257556 263250 267462 273780 281250 285750 290322 292500 297180 303750 308610 312500 315900 316875 317500 321945 322580 337500 342225 342900 365625 371475 380250 386334 390625 394875 396875 401193 403225 406250 410670 412750 419354 421875 422500 428625 429260 435483 438750 445770 456300 468750 476250 483870 487500 495300 506250 514350 526500 528125 534924 536575 562500 570375 571500 579501 580644 607500 609375 617220 619125 629031 633750 643890 658125 668655 684450 703125 714375 725805 731250 742950 759375 760500 771525 772668 781250 789750 793750 802386 806450 812500 821340 825500 838708 843750 857250 870966 877500 891540 937500 950625 952500 965835 967740 1012500 1015625 1026675 1028700 1031875 1048385 1056250 1073150 1096875 1114425 1140750 1159002 1171875 1190625 1209675 1218750 1238250 1258062 1265625 1267500 1285875 1287780 1306449 1316250 1337310 1368900 1406250 1428750 1451610 1462500 1485900 1518750 1543050 1562500 1579500 1584375 1587500 1604772 1609725 1612900 1687500 1711125 1714500 1738503 1741932 1828125 1857375 1887093 1901250 1931670 1974375 1984375 2005965 2016125 2031250 2048383 2053350 2063750 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3184469437500 3194298046875 3200598437500 3235420948500 3245406815625 3449841890625 3456646312500 3505039360875 3744700171875 3833157656250 3894488178750 3980586796875 4044276185625 4074616406250 4139810268750 4160777968750 4206047233050 4259064062500 4320807890625 4327209087500 4422874218750 4493640206250 4599789187500 4673385814500 4800897656250 4992933562500 5184969468750 5307449062500 5392368247500 5409011359375 5749736484375 5761077187500 5841732268125 6123979687500 6221963362500 6241166953125 6388596093750 6490813631250 6634311328125 6740460309375 6899683781250 7010078721750 7201346484375 7489400343750 7666315312500 7777454203125 7788976357500 7961173593750 8088552371250 8149232812500 8279620537500 8321555937500 8412094466100 8641615781250 8845748437500 8987280412500 9582894140625 9601795312500 9736220446875 10349525671875 10369938937500 10401944921875 10515118082625 10818022718750 11234100515625 11499472968750 11683464536250 12482333906250 12777192187500 12962423671875 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74894003437500 77774542031250 79611735937500 80885523712500 81135170390625 86246047265625 86416157812500 87625984021875 93617504296875 97362204468750 101106904640625 103495256718750 105151180826250 108180227187500 112341005156250 114994729687500 116834645362500 124823339062500 129624236718750 134809206187500 135225283984375 146043306703125 155549084062500 162270340781250 168511507734375 172492094531250 175251968043750 187235008593750 194436355078125 194724408937500 202213809281250 206990513437500 210302361652500 224682010312500 243405511171875 258738141796875 259248473437500 262877952065625 270450567968750 280852512890625 292086613406250 324540681562500 337023015468750 344984189062500 350503936087500 374470017187500 388872710156250 404427618562500 405675851953125 438129920109375 486811022343750 505534523203125 517476283593750 525755904131250 540901135937500 561705025781250 584173226812500 674046030937500 730216533515625 777745420312500 811351703906250 842557538671875 876259840218750 973622044687500 1011069046406250 1034952567187500 1051511808262500 1123410051562500 1217027555859375 1314389760328125 1460433067031250 1622703407812500 1685115077343750 1752519680437500 2022138092812500 2190649600546875 2434055111718750 2527672616015625 2628779520656250 2920866134062500 3370230154687500 3651082667578125 4381299201093750 4868110223437500 5055345232031250 5257559041312500 6571948801640625 7302165335156250 8762598402187500 10110690464062500 10953248002734375 13143897603281250 14604330670312500 21906496005468750 26287795206562500 32859744008203125 43812992010937500 65719488016406250 131438976032812500
- Sum of all divisors σ(n): 470072316822850560
- Sum of proper divisors (its aliquot sum) s(n): 338633340790038060
- 131438976032812500 is an abundant number, because the sum of its proper divisors (338633340790038060) is greater than itself. Its abundance is 207194364757225560
Bases of 131438976032812500
- Binary: 1110100101111011100001101011001000001001110101101110101002
- Hexadecimal: 0x1D2F70D6413ADD4
- Base-36: ZY788045590
Squares and roots of 131438976032812500
- 131438976032812500 squared (1314389760328125002) is 17276204420554258801076660156250000
- 131438976032812500 cubed (1314389760328125003) is 2270766618771200586801940525347827911376953125000000
-
The
square root of 131438976032812500 is 362545136.5455238043 -
The
cube root of 131438976032812500 is 508441.9656339029
Scales and comparisons
How big is 131438976032812500?- 131,438,976,032,812,500 seconds is equal to 4,179,352,870 years, 20 weeks, 4 days, 5 hours, 15 minutes.
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To count from 1 to 131,438,976,032,812,500 would take you about twelve billion, five hundred thirty-eight million, fifty-eight thousand, six hundred eleven 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 131438976032812500 cubic inches would be around 42370.2 feet tall.
Recreational maths with 131438976032812500
- 131438976032812500 backwards is 005218230679834131
- The number of decimal digits it has is: 18
- The sum of 131438976032812500's digits is 63
- More coming soon!
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The information we have on file for 131438976032812500 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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