131713123942400
131,713,123,942,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 131713123942400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2448 divisors.
131713123942400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 131713123942400:
216 × 52 × 73 × 112 × 13 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 149)See below for interesting mathematical facts about the number 131713123942400 from the Numbermatics database.
Names of 131713123942400
- Cardinal: 131713123942400 can be written as One hundred thirty-one trillion, seven hundred thirteen billion, one hundred twenty-three million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.317131239424 × 1014
Factors of 131713123942400
Divisors of 131713123942400
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 49 50 52 55 56 64 65 70 77 80 88 91 98 100 104 110 112 121 128 130 140 143 149 154 160 175 176 182 196 200 208 220 224 242 245 256 260 275 280 286 298 308 320 325 343 350 352 364 385 392 400 416 440 448 455 484 490 512 520 539 550 560 572 596 605 616 637 640 650 686 700 704 715 728 745 770 784 800 832 847 880 896 910 968 980 1001 1024 1040 1043 1078 1100 1120 1144 1192 1210 1225 1232 1274 1280 1300 1372 1400 1408 1430 1456 1490 1540 1568 1573 1600 1639 1664 1694 1715 1760 1792 1820 1925 1936 1937 1960 2002 2048 2080 2086 2156 2200 2240 2275 2288 2384 2420 2450 2464 2548 2560 2600 2695 2744 2800 2816 2860 2912 2980 3025 3080 3136 3146 3185 3200 3278 3328 3388 3430 3520 3575 3584 3640 3725 3773 3850 3872 3874 3920 4004 4096 4160 4172 4235 4312 4400 4459 4480 4550 4576 4768 4840 4900 4928 5005 5096 5120 5200 5215 5390 5488 5600 5632 5720 5824 5929 5960 6050 6160 6272 6292 6370 6400 6556 6656 6776 6860 7007 7040 7150 7168 7280 7301 7450 7546 7700 7744 7748 7840 7865 8008 8192 8195 8320 8344 8470 8575 8624 8800 8918 8960 9100 9152 9536 9680 9685 9800 9856 10010 10192 10240 10400 10430 10780 10976 11011 11200 11264 11440 11473 11648 11858 11920 12100 12320 12544 12584 12740 12800 13112 13312 13475 13552 13559 13720 14014 14080 14300 14336 14560 14602 14900 15092 15400 15488 15496 15680 15730 15925 16016 16384 16390 16640 16688 16940 17150 17248 17600 17836 17920 18029 18200 18304 18865 19072 19360 19370 19600 19712 20020 20384 20480 20800 20860 21175 21307 21560 21952 22022 22295 22400 22528 22880 22946 23296 23716 23840 24200 24640 25025 25088 25168 25480 25600 26075 26224 26624 26950 27104 27118 27440 28028 28160 28600 28672 29120 29204 29645 29800 30184 30800 30976 30992 31360 31460 31850 32032 32768 32780 33280 33376 33880 34300 34496 35035 35200 35672 35840 36058 36400 36505 36608 37730 38144 38720 38740 39200 39325 39424 40040 40768 40960 40975 41503 41600 41720 42350 42614 43120 43904 44044 44590 44800 45056 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316618086400 329282809856 336002867200 342112010240 361849241600 374185011200 376323211264 384003276800 405271150592 411603512320 427640012800 441990348800 460535398400 470404014080 478956814336 506588938240 514504390400 537604587520 544269107200 588005017600 598696017920 633236172800 658565619712 672005734400 723698483200 748370022400 752646422528 823207024640 855280025600 883980697600 921070796800 940808028160 1013177876480 1029008780800 1088538214400 1176010035200 1197392035840 1266472345600 1317131239424 1344011468800 1447396966400 1496740044800 1646414049280 1710560051200 1881616056320 2026355752960 2058017561600 2352020070400 2394784071680 2532944691200 2634262478848 2688022937600 2993480089600 3292828098560 3763232112640 4116035123200 4704040140800 5065889382400 5268524957696 5986960179200 6585656197120 8232070246400 9408080281600 10131778764800 11973920358400 13171312394240 16464140492800 18816160563200 26342624788480 32928280985600 65856561971200 131713123942400
- Sum of all divisors σ(n): 453940815720000
- Sum of proper divisors (its aliquot sum) s(n): 322227691777600
- 131713123942400 is an abundant number, because the sum of its proper divisors (322227691777600) is greater than itself. Its abundance is 190514567835200
Bases of 131713123942400
- Binary: 111011111001010110110011111011100000000000000002
- Hexadecimal: 0x77CAD9F70000
- Base-36: 1AOS699H4W
Squares and roots of 131713123942400
- 131713123942400 squared (1317131239424002) is 17348347018666024118517760000
- 131713123942400 cubed (1317131239424003) is 2285004981065323561034157429855617024000000
-
The
square root of 131713123942400 is 11476633.8245323485 -
The
cube root of 131713123942400 is 50879.5213224483
Scales and comparisons
How big is 131713123942400?- 131,713,123,942,400 seconds is equal to 4,188,069 years, 48 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 131,713,123,942,400 would take you about ten million, four hundred seventy thousand, one hundred seventy-four 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 131713123942400 cubic inches would be around 4240 feet tall.
Recreational maths with 131713123942400
- 131713123942400 backwards is 004249321317131
- The number of decimal digits it has is: 15
- The sum of 131713123942400's digits is 41
- More coming soon!
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"Number 131713123942400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 131713123942400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/131713123942400/
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The information we have on file for 131713123942400 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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