31972096512
31,972,096,512 is an even composite number composed of six prime numbers multiplied together.
31972096512 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 31972096512:
29 × 32 × 31 × 41 × 53 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 31 × 41 × 53 × 103)See below for interesting mathematical facts about the number 31972096512 from the Numbermatics database.
Names of 31972096512
- Cardinal: 31972096512 can be written as Thirty-one billion, nine hundred seventy-two million, ninety-six thousand, five hundred twelve.
Scientific notation
- Scientific notation: 3.1972096512 × 1010
Factors of 31972096512
Divisors of 31972096512
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 32 36 41 48 53 62 64 72 82 93 96 103 106 123 124 128 144 159 164 186 192 206 212 246 248 256 279 288 309 318 328 369 372 384 412 424 477 492 496 512 558 576 618 636 656 738 744 768 824 848 927 954 984 992 1116 1152 1236 1271 1272 1312 1476 1488 1536 1643 1648 1696 1854 1908 1968 1984 2173 2232 2304 2472 2542 2544 2624 2952 2976 3193 3286 3296 3392 3708 3813 3816 3936 3968 4223 4346 4464 4608 4929 4944 5084 5088 5248 5459 5904 5952 6386 6519 6572 6592 6784 7416 7626 7632 7872 7936 8446 8692 8928 9579 9858 9888 10168 10176 10496 10918 11439 11808 11904 12669 12772 13038 13144 13184 13568 14787 14832 15252 15264 15744 15872 16377 16892 17384 17856 19158 19557 19716 19776 20336 20352 20992 21836 22878 23616 23808 25338 25544 26076 26288 26368 27136 28737 29574 29664 30504 30528 31488 32754 33784 34768 35712 38007 38316 39114 39432 39552 40672 40704 43672 45756 47232 47616 49131 50676 51088 52152 52576 52736 57474 59148 59328 61008 61056 62976 65508 67363 67568 69536 71424 76014 76632 78228 78864 79104 81344 81408 87344 91512 94464 98262 101352 102176 104304 105152 114948 118296 118656 122016 122112 130913 131016 134726 135136 139072 142848 152028 153264 156456 157728 158208 162688 169229 174688 183024 188928 196524 202089 202704 204352 208608 210304 223819 229896 236592 237312 244032 244224 261826 262032 269452 270272 278144 304056 306528 312912 315456 325376 338458 349376 366048 392739 393048 404178 405408 408704 417216 420608 447638 459792 473184 474624 488064 507687 523652 524064 538904 540544 556288 606267 608112 613056 625824 630912 650752 671457 676916 698752 732096 785478 786096 808356 810816 817408 834432 841216 895276 919584 946368 976128 1015374 1047304 1048128 1077808 1081088 1112576 1178217 1212534 1216224 1226112 1251648 1261824 1342914 1353832 1397504 1464192 1523061 1570956 1572192 1616712 1621632 1634816 1668864 1790552 1839168 1892736 1952256 2014371 2030748 2094608 2096256 2155616 2162176 2356434 2425068 2432448 2452224 2503296 2523648 2685828 2707664 2795008 2928384 3046122 3141912 3144384 3233424 3243264 3337728 3581104 3678336 3785472 4028742 4061496 4189216 4192512 4311232 4712868 4850136 4864896 4904448 5006592 5371656 5415328 5856768 6092244 6283824 6288768 6466848 6486528 6938389 7162208 7356672 7570944 8057484 8122992 8378432 8385024 8622464 9425736 9700272 9729792 10013184 10743312 10830656 12184488 12567648 12577536 12933696 13876778 14324416 14713344 16114968 16245984 16756864 17244928 18851472 19400544 19459584 20815167 21486624 21661312 24368976 25135296 25155072 25867392 27753556 28648832 32229936 32491968 33513728 34489856 37702944 38801088 41630334 42973248 43322624 48737952 50270592 51734784 55507112 57297664 62445501 64459872 64983936 67027456 75405888 77602176 83260668 85946496 86645248 97475904 100541184 103469568 111014224 114595328 124891002 128919744 129967872 150811776 155204352 166521336 171892992 194951808 201082368 222028448 249782004 257839488 259935744 301623552 310408704 333042672 343785984 389903616 444056896 499564008 515678976 603247104 666085344 779807232 888113792 999128016 1031357952 1332170688 1776227584 1998256032 2664341376 3552455168 3996512064 5328682752 7993024128 10657365504 15986048256 31972096512
- Sum of all divisors σ(n): 100379575296
- Sum of proper divisors (its aliquot sum) s(n): 68407478784
- 31972096512 is an abundant number, because the sum of its proper divisors (68407478784) is greater than itself. Its abundance is 36435382272
Bases of 31972096512
- Binary: 111011100011010111101111010000000002
- Hexadecimal: 0x771AF7A00
- Base-36: EORCZK0
Squares and roots of 31972096512
- 31972096512 squared (319720965122) is 1022214955372642566144
- 31972096512 cubed (319720965123) is 32682355209183901049235311689728
-
The
square root of 31972096512 is 178807.4285705155 -
The
cube root of 31972096512 is 3173.8790433737
Scales and comparisons
How big is 31972096512?- 31,972,096,512 seconds is equal to 1,016 years, 31 weeks, 6 days, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 31,972,096,512 would take you about two thousand and thirty-three 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 31972096512 cubic inches would be around 264.5 feet tall.
Recreational maths with 31972096512
- 31972096512 backwards is 21569027913
- The number of decimal digits it has is: 11
- The sum of 31972096512's digits is 45
- More coming soon!
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