86342131200
86,342,131,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 86342131200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
86342131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 86342131200:
29 × 3 × 52 × 13 × 257 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 257 × 673)See below for interesting mathematical facts about the number 86342131200 from the Numbermatics database.
Names of 86342131200
- Cardinal: 86342131200 can be written as Eighty-six billion, three hundred forty-two million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 8.63421312 × 1010
Factors of 86342131200
Divisors of 86342131200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 192 195 200 208 240 256 257 260 300 312 320 325 384 390 400 416 480 512 514 520 600 624 640 650 673 768 771 780 800 832 960 975 1028 1040 1200 1248 1280 1285 1300 1346 1536 1542 1560 1600 1664 1920 1950 2019 2056 2080 2400 2496 2560 2570 2600 2692 3084 3120 3200 3328 3341 3365 3840 3855 3900 4038 4112 4160 4800 4992 5140 5200 5384 6168 6240 6400 6425 6656 6682 6730 7680 7710 7800 8076 8224 8320 8749 9600 9984 10023 10095 10280 10400 10768 12336 12480 12800 12850 13364 13460 15420 15600 16152 16448 16640 16705 16825 17498 19200 19275 19968 20046 20190 20560 20800 21536 24672 24960 25700 26247 26728 26920 30840 31200 32304 32896 33280 33410 33650 34996 38400 38550 40092 40380 41120 41600 43072 43745 49344 49920 50115 50475 51400 52494 53456 53840 61680 62400 64608 65792 66820 67300 69992 77100 80184 80760 82240 83200 83525 86144 87490 98688 99840 100230 100950 102800 104988 106912 107680 123360 124800 129216 131235 131584 133640 134600 139984 154200 160368 161520 164480 166400 167050 172288 172961 174980 197376 200460 201900 205600 209976 213824 215360 218725 246720 249600 250575 258432 262470 267280 269200 279968 308400 320736 323040 328960 334100 344576 345922 349960 394752 400920 403800 411200 419952 427648 430720 437450 493440 499200 501150 516864 518883 524940 534560 538400 559936 616800 641472 646080 656175 657920 668200 691844 699920 801840 807600 822400 839904 855296 861440 864805 874900 986880 1002300 1033728 1037766 1049880 1069120 1076800 1119872 1233600 1282944 1292160 1312350 1336400 1383688 1399840 1603680 1615200 1644800 1679808 1710592 1722880 1729610 1749800 1973760 2004600 2075532 2099760 2138240 2153600 2239744 2248493 2467200 2565888 2584320 2594415 2624700 2672800 2767376 2799680 3207360 3230400 3289600 3359616 3459220 3499600 4009200 4151064 4199520 4276480 4307200 4324025 4479488 4496986 4934400 5131776 5168640 5188830 5249400 5345600 5534752 5599360 6414720 6460800 6719232 6745479 6918440 6999200 8018400 8302128 8399040 8552960 8614400 8648050 8993972 9868800 10377660 10498800 10691200 11069504 11198720 11242465 12829440 12921600 12972075 13438464 13490958 13836880 13998400 16036800 16604256 16798080 17296100 17987944 20755320 20997600 21382400 22139008 22397440 22484930 25658880 25843200 25944150 26981916 27673760 27996800 32073600 33208512 33596160 33727395 34592200 35975888 41510640 41995200 42764800 44278016 44969860 51888300 53963832 55347520 55993600 56212325 64147200 66417024 67192320 67454790 69184400 71951776 83021280 83990400 88556032 89939720 103776600 107927664 110695040 111987200 112424650 128294400 132834048 134909580 138368800 143903552 166042560 167980800 168636975 179879440 207553200 215855328 221390080 224849300 265668096 269819160 276737600 287807104 332085120 335961600 337273950 359758880 415106400 431710656 442780160 449698600 539638320 553475200 575614208 664170240 674547900 719517760 830212800 863421312 899397200 1079276640 1106950400 1151228416 1328340480 1349095800 1439035520 1660425600 1726842624 1798794400 2158553280 2213900800 2698191600 2878071040 3320851200 3453685248 3597588800 4317106560 5396383200 5756142080 6641702400 7195177600 8634213120 10792766400 14390355200 17268426240 21585532800 28780710400 43171065600 86342131200
- Sum of all divisors σ(n): 308819671776
- Sum of proper divisors (its aliquot sum) s(n): 222477540576
- 86342131200 is an abundant number, because the sum of its proper divisors (222477540576) is greater than itself. Its abundance is 136135409376
Bases of 86342131200
- Binary: 10100000110100110010001011110000000002
- Hexadecimal: 0x141A645E00
- Base-36: 13NXVITC
Squares and roots of 86342131200
- 86342131200 squared (863421312002) is 7454963620158013440000
- 86342131200 cubed (863421312003) is 643677446982910161167843328000000
-
The
square root of 86342131200 is 293840.3158179625 -
The
cube root of 86342131200 is 4419.8505849589
Scales and comparisons
How big is 86342131200?- 86,342,131,200 seconds is equal to 2,745 years, 21 weeks, 3 days, 5 hours, 20 minutes.
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To count from 1 to 86,342,131,200 would take you about five thousand, four hundred ninety 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 86342131200 cubic inches would be around 368.3 feet tall.
Recreational maths with 86342131200
- 86342131200 backwards is 00213124368
- 86342131200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 86342131200's digits is 30
- More coming soon!
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