31006137344
31,006,137,344 is an even composite number composed of six prime numbers multiplied together.
31006137344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 31006137344:
210 × 7 × 13 × 17 × 232 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 23 × 23 × 37)See below for interesting mathematical facts about the number 31006137344 from the Numbermatics database.
Names of 31006137344
- Cardinal: 31006137344 can be written as Thirty-one billion, six million, one hundred thirty-seven thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 3.1006137344 × 1010
Factors of 31006137344
Divisors of 31006137344
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 23 26 28 32 34 37 46 52 56 64 68 74 91 92 104 112 119 128 136 148 161 182 184 208 221 224 238 256 259 272 296 299 322 364 368 391 416 442 448 476 481 512 518 529 544 592 598 629 644 728 736 782 832 851 884 896 952 962 1024 1036 1058 1088 1184 1196 1258 1288 1456 1472 1547 1564 1664 1702 1768 1792 1904 1924 2072 2093 2116 2176 2368 2392 2516 2576 2737 2912 2944 3094 3128 3328 3367 3404 3536 3584 3703 3808 3848 4144 4186 4232 4352 4403 4736 4784 5032 5083 5152 5474 5824 5888 5957 6188 6256 6656 6734 6808 6877 7072 7168 7406 7616 7696 8177 8288 8372 8464 8704 8806 8993 9472 9568 10064 10166 10304 10948 11063 11648 11776 11914 12376 12512 13312 13468 13616 13754 14144 14467 14812 15232 15392 16354 16576 16744 16928 17408 17612 17986 18944 19136 19573 20128 20332 20608 21896 22126 23296 23552 23828 24752 25024 26936 27232 27508 28288 28934 29624 30464 30784 32708 33152 33488 33856 35224 35581 35972 37888 38272 39146 40256 40664 41216 43792 44252 46592 47656 48139 49504 50048 53872 54464 55016 56576 57239 57868 59248 60928 61568 62951 65416 66304 66976 67712 70448 71162 71944 76544 77441 78292 80512 81328 82432 87584 88504 93184 95312 96278 99008 100096 101269 107744 108928 110032 113152 114478 115736 116909 118496 121856 123136 125902 130832 132608 133952 135424 137011 140896 142324 143888 153088 154882 156584 161024 162656 164864 175168 177008 188071 190624 192556 198016 200192 202538 215488 217856 220064 226304 228956 231472 233818 236992 246272 251804 254449 261664 265216 267904 270848 274022 281792 284648 287776 306176 309764 313168 322048 325312 332741 350336 354016 376142 381248 385112 396032 400384 405076 430976 435712 440128 457912 462944 467636 473984 492544 503608 508898 523328 535808 541696 548044 563584 569296 575552 619528 626336 644096 650624 665482 700672 708032 752284 762496 770224 792064 810152 818363 861952 871424 880256 915824 925888 935272 947968 1007216 1017796 1046656 1071616 1096088 1127168 1138592 1151104 1239056 1252672 1301248 1316497 1330964 1401344 1416064 1504568 1524992 1540448 1584128 1620304 1636726 1723904 1760512 1781143 1831648 1851776 1870544 1895936 2014432 2035592 2093312 2143232 2192176 2254336 2277184 2302208 2329187 2478112 2505344 2602496 2632994 2661928 2802688 2832128 3009136 3049984 3080896 3240608 3273452 3447808 3521024 3562286 3663296 3703552 3741088 3791872 4028864 4071184 4186624 4325633 4384352 4508672 4554368 4604416 4658374 4956224 5010688 5204992 5265988 5323856 5664256 6018272 6099968 6161792 6481216 6546904 7042048 7124572 7326592 7407104 7482176 8057728 8142368 8373248 8651266 8768704 9108736 9208832 9316748 9912448 10021376 10531976 10647712 11328512 12036544 12323584 12962432 13093808 14249144 14653184 14814208 14964352 16115456 16284736 17302532 17537408 18217472 18633496 19824896 20042752 21063952 21295424 24073088 24647168 25924864 26187616 28498288 29306368 29928704 30279431 32230912 32569472 34605064 35074816 36434944 37266992 39649792 42127904 42590848 48146176 49294336 51849728 52375232 56996576 58612736 59857408 60558862 64461824 65138944 69210128 70149632 74533984 79299584 84255808 85181696 96292352 103699456 104750464 113993152 119714816 121117724 130277888 138420256 140299264 149067968 168511616 170363392 192584704 209500928 227986304 242235448 260555776 276840512 298135936 337023232 340726784 419001856 455972608 484470896 553681024 596271872 674046464 838003712 911945216 968941792 1107362048 1192543744 1348092928 1823890432 1937883584 2214724096 2385087488 3875767168 4429448192 7751534336 15503068672 31006137344
- Sum of all divisors σ(n): 86719566528
- Sum of proper divisors (its aliquot sum) s(n): 55713429184
- 31006137344 is an abundant number, because the sum of its proper divisors (55713429184) is greater than itself. Its abundance is 24707291840
Bases of 31006137344
- Binary: 111001110000001110000011100000000002
- Hexadecimal: 0x7381C1C00
- Base-36: E8S94OW
Squares and roots of 31006137344
- 31006137344 squared (310061373442) is 961380552994991374336
- 31006137344 cubed (310061373443) is 29808697466013373096757332803584
-
The
square root of 31006137344 is 176085.5966398161 -
The
cube root of 31006137344 is 3141.5879476765
Scales and comparisons
How big is 31006137344?- 31,006,137,344 seconds is equal to 985 years, 46 weeks, 5 days, 7 hours, 55 minutes, 44 seconds.
-
To count from 1 to 31,006,137,344 would take you about one thousand, nine hundred seventy-one 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 31006137344 cubic inches would be around 261.8 feet tall.
Recreational maths with 31006137344
- 31006137344 backwards is 44373160013
- 31006137344 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 31006137344's digits is 32
- More coming soon!
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