137431031400
137,431,031,400 is an even composite number composed of six prime numbers multiplied together.
137431031400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137431031400:
23 × 35 × 52 × 13 × 37 × 5879
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 37 × 5879)See below for interesting mathematical facts about the number 137431031400 from the Numbermatics database.
Names of 137431031400
- Cardinal: 137431031400 can be written as One hundred thirty-seven billion, four hundred thirty-one million, thirty-one thousand, four hundred.
Scientific notation
- Scientific notation: 1.374310314 × 1011
Factors of 137431031400
Divisors of 137431031400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 37 39 40 45 50 52 54 60 65 72 74 75 78 81 90 100 104 108 111 117 120 130 135 148 150 156 162 180 185 195 200 216 222 225 234 243 260 270 296 300 312 324 325 333 351 360 370 390 405 444 450 468 481 486 520 540 555 585 600 648 650 666 675 702 740 780 810 888 900 925 936 962 972 975 999 1053 1080 1110 1170 1215 1300 1332 1350 1404 1443 1480 1560 1620 1665 1755 1800 1850 1924 1944 1950 1998 2025 2106 2220 2340 2405 2430 2600 2664 2700 2775 2808 2886 2925 2997 3159 3240 3330 3510 3700 3848 3900 3996 4050 4212 4329 4440 4680 4810 4860 4995 5265 5400 5550 5772 5850 5879 5994 6075 6318 6660 7020 7215 7400 7800 7992 8100 8325 8424 8658 8775 8991 9620 9720 9990 10530 11100 11544 11700 11758 11988 12025 12150 12636 12987 13320 14040 14430 14985 15795 16200 16650 17316 17550 17637 17982 19240 19980 21060 21645 22200 23400 23516 23976 24050 24300 24975 25272 25974 26325 28860 29395 29970 31590 33300 34632 35100 35274 35964 36075 38961 39960 42120 43290 44955 47032 48100 48600 49950 51948 52650 52911 57720 58790 59940 63180 64935 66600 70200 70548 71928 72150 74925 76427 77922 78975 86580 88185 89910 96200 99900 103896 105300 105822 108225 116883 117580 119880 126360 129870 141096 144300 146975 149850 152854 155844 157950 158733 173160 176370 179820 194805 199800 210600 211644 216450 217523 224775 229281 233766 235160 259740 264555 288600 293950 299700 305708 311688 315900 317466 324675 352740 359640 382135 389610 423288 432900 435046 440925 449550 458562 467532 476199 519480 529110 584415 587900 599400 611416 631800 634932 649350 652569 687843 705480 764270 779220 793665 865800 870092 881850 899100 917124 935064 952398 974025 1058220 1087615 1146405 1168830 1175800 1269864 1298700 1305138 1322775 1375686 1428597 1528540 1558440 1587330 1740184 1763700 1798200 1834248 1904796 1910675 1948050 1957707 2063529 2116440 2175230 2292810 2337660 2380995 2597400 2610276 2645550 2751372 2827799 2857194 2922075 3057080 3174660 3262845 3439215 3527400 3809592 3821350 3896100 3915414 3968325 4127058 4350460 4585620 4675320 4761990 5220552 5291100 5438075 5502744 5655598 5714388 5732025 5844150 5873121 6190587 6349320 6525690 6878430 7142985 7642700 7792200 7830828 7936650 8254116 8483397 8700920 9171240 9523980 9788535 10317645 10582200 10876150 11311196 11428776 11464050 11688300 11746242 11904975 12381174 13051380 13756860 14138995 14285970 15285400 15661656 15873300 16314225 16508232 16966794 17196075 17619363 18571761 19047960 19577070 20635290 21752300 22622392 22928100 23376600 23492484 23809950 24762348 25450191 26102760 27513720 28277990 28571940 29365605 30952935 31746600 32628450 33933588 34392150 35238726 35714925 37143522 39154140 41270580 42416985 43504600 45856200 46984968 47619900 48942675 49524696 50900382 51588225 52858089 56555980 57143880 58731210 61905870 65256900 67867176 68784300 70477452 70694975 71429850 74287044 76350573 78308280 82541160 84833970 88096815 92858805 95239800 97885350 101800764 103176450 105716178 113111960 117462420 123811740 127250955 130513800 137568600 140954904 141389950 142859700 146828025 148574088 152701146 154764675 169667940 176193630 185717610 195770700 203601528 206352900 211432356 212084925 229051719 234924840 247623480 254501910 264290445 282779900 285719400 293656050 305402292 309529350 339335880 352387260 371435220 381752865 391541400 412705800 422864712 424169850 440484075 458103438 464294025 509003820 528580890 565559800 587312100 610804584 619058700 636254775 687155157 704774520 742870440 763505730 848339700 880968150 916206876 928588050 1018007640 1057161780 1145258595 1174624200 1238117400 1272509550 1321452225 1374310314 1527011460 1696679400 1761936300 1832413752 1857176100 1908764325 2114323560 2290517190 2545019100 2642904450 2748620628 3054022920 3435775785 3523872600 3714352200 3817528650 4581034380 5090038200 5285808900 5497241256 5726292975 6871551570 7635057300 9162068760 10571617800 11452585950 13743103140 15270114600 17178878925 22905171900 27486206280 34357757850 45810343800 68715515700 137431031400
- Sum of all divisors σ(n): 529472361600
- Sum of proper divisors (its aliquot sum) s(n): 392041330200
- 137431031400 is an abundant number, because the sum of its proper divisors (392041330200) is greater than itself. Its abundance is 254610298800
Bases of 137431031400
- Binary: 11111111111111000011100011110011010002
- Hexadecimal: 0x1FFF871E68
- Base-36: 1R4UVYI0
Squares and roots of 137431031400
- 137431031400 squared (1374310314002) is 18887288391667785960000
- 137431031400 cubed (1374310314003) is 2595699524016150990637239144000000
-
The
square root of 137431031400 is 370716.9154489717 -
The
cube root of 137431031400 is 5160.5374642971
Scales and comparisons
How big is 137431031400?- 137,431,031,400 seconds is equal to 4,369 years, 45 weeks, 5 days, 22 hours, 30 minutes.
-
To count from 1 to 137,431,031,400 would take you about eight thousand, seven hundred thirty-nine 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 137431031400 cubic inches would be around 430 feet tall.
Recreational maths with 137431031400
- 137431031400 backwards is 004130134731
- 137431031400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137431031400's digits is 27
- More coming soon!
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