31431187206144
31,431,187,206,144 is an even composite number composed of five prime numbers multiplied together.
31431187206144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 31431187206144:
212 × 37 × 11 × 372 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 37 × 37 × 233)See below for interesting mathematical facts about the number 31431187206144 from the Numbermatics database.
Names of 31431187206144
- Cardinal: 31431187206144 can be written as Thirty-one trillion, four hundred thirty-one billion, one hundred eighty-seven million, two hundred six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.1431187206144 × 1013
Factors of 31431187206144
Divisors of 31431187206144
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 37 44 48 54 64 66 72 74 81 88 96 99 108 111 128 132 144 148 162 176 192 198 216 222 233 243 256 264 288 296 297 324 333 352 384 396 407 432 444 466 486 512 528 576 592 594 648 666 699 704 729 768 792 814 864 888 891 932 972 999 1024 1056 1152 1184 1188 1221 1296 1332 1369 1398 1408 1458 1536 1584 1628 1728 1776 1782 1864 1944 1998 2048 2097 2112 2187 2304 2368 2376 2442 2563 2592 2664 2673 2738 2796 2816 2916 2997 3072 3168 3256 3456 3552 3564 3663 3728 3888 3996 4096 4107 4194 4224 4374 4608 4736 4752 4884 5126 5184 5328 5346 5476 5592 5632 5832 5994 6144 6291 6336 6512 6912 7104 7128 7326 7456 7689 7776 7992 8019 8214 8388 8448 8621 8748 8991 9216 9472 9504 9768 10252 10368 10656 10692 10952 10989 11184 11264 11664 11988 12288 12321 12582 12672 13024 13824 14208 14256 14652 14912 15059 15378 15552 15984 16038 16428 16776 16896 17242 17496 17982 18432 18873 18944 19008 19536 20504 20736 21312 21384 21904 21978 22368 22528 23067 23328 23976 24057 24642 25164 25344 25863 26048 26973 27648 28416 28512 29304 29824 30118 30756 31104 31968 32076 32856 32967 33552 33792 34484 34992 35964 36864 36963 37746 37888 38016 39072 41008 41472 42624 42768 43808 43956 44736 45056 45177 46134 46656 47952 48114 49284 50328 50688 51726 52096 53946 55296 56619 56832 57024 58608 59648 60236 61512 62208 63936 64152 65712 65934 67104 67584 68968 69201 69984 71928 73926 75492 75776 76032 77589 78144 80919 82016 82944 85248 85536 87616 87912 89472 90354 92268 93312 94831 95904 96228 98568 98901 100656 101376 103452 104192 107892 110592 110889 113238 113664 114048 117216 119296 120472 123024 124416 127872 128304 131424 131868 134208 135168 135531 137936 138402 139968 143856 147852 150984 151552 152064 155178 156288 161838 164032 165888 169857 170496 171072 175232 175824 178944 180708 184536 186624 189662 191808 192456 197136 197802 201312 202752 206904 207603 208384 215784 221778 226476 227328 228096 232767 234432 238592 240944 246048 248832 255744 256608 262848 263736 268416 271062 275872 276804 279936 284493 287712 295704 296703 301968 304128 310356 312576 318977 323676 328064 331776 332667 339714 340992 342144 350464 351648 357888 361416 369072 373248 379324 383616 384912 394272 395604 402624 405504 406593 413808 415206 416768 431568 443556 452952 454656 456192 465534 468864 477184 481888 492096 497664 509571 511488 513216 525696 527472 536832 542124 551744 553608 559872 568986 575424 591408 593406 603936 608256 620712 622809 625152 637954 647352 656128 665334 679428 681984 684288 698301 700928 703296 715776 722832 738144 746496 758648 767232 769824 788544 791208 805248 813186 827616 830412 833536 853479 863136 887112 890109 905904 912384 931068 937728 954368 956931 963776 984192 995328 998001 1019142 1022976 1026432 1051392 1054944 1073664 1084248 1103488 1107216 1119744 1137972 1150848 1182816 1186812 1207872 1216512 1219779 1241424 1245618 1250304 1275908 1294704 1312256 1330668 1358856 1363968 1368576 1396602 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436544266752 476230109184 491112300096 582059022336 654816400128 714345163776 849491546112 873088533504 952460218368 982224600192 1164118044672 1309632800256 1428690327552 1746177067008 1964449200384 2619265600512 2857380655104 3492354134016 3928898400768 5238531201024 7857796801536 10477062402048 15715593603072 31431187206144
- Sum of all divisors σ(n): 106145593706880
- Sum of proper divisors (its aliquot sum) s(n): 74714406500736
- 31431187206144 is an abundant number, because the sum of its proper divisors (74714406500736) is greater than itself. Its abundance is 43283219294592
Bases of 31431187206144
- Binary: 1110010010110001001001011111110010000000000002
- Hexadecimal: 0x1C9624BF9000
- Base-36: B53ADC000
Squares and roots of 31431187206144
- 31431187206144 squared (314311872061442) is 987919529187670268351348736
- 31431187206144 cubed (314311872061443) is 31051483666503305723754523622450065833984
-
The
square root of 31431187206144 is 5606352.3976061297 -
The
cube root of 31431187206144 is 31558.7840604843
Scales and comparisons
How big is 31431187206144?- 31,431,187,206,144 seconds is equal to 999,414 years, 27 weeks, 3 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 31,431,187,206,144 would take you about two million, four hundred ninety-eight thousand, five hundred thirty-six 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 31431187206144 cubic inches would be around 2629.9 feet tall.
Recreational maths with 31431187206144
- 31431187206144 backwards is 44160278113413
- The number of decimal digits it has is: 14
- The sum of 31431187206144's digits is 45
- More coming soon!
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The information we have on file for 31431187206144 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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