972136116224
972,136,116,224 is an even composite number composed of five prime numbers multiplied together.
972136116224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred sixty-eight divisors.
Prime factorization of 972136116224:
212 × 72 × 13 × 672 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 67 × 67 × 83)See below for interesting mathematical facts about the number 972136116224 from the Numbermatics database.
Names of 972136116224
- Cardinal: 972136116224 can be written as Nine hundred seventy-two billion, one hundred thirty-six million, one hundred sixteen thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 9.72136116224 × 1011
Factors of 972136116224
Divisors of 972136116224
- Number of divisors d(n): 468
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 67 83 91 98 104 112 128 134 166 182 196 208 224 256 268 332 364 392 416 448 469 512 536 581 637 664 728 784 832 871 896 938 1024 1072 1079 1162 1274 1328 1456 1568 1664 1742 1792 1876 2048 2144 2158 2324 2548 2656 2912 3136 3283 3328 3484 3584 3752 4067 4096 4288 4316 4489 4648 5096 5312 5561 5824 6097 6272 6566 6656 6968 7168 7504 7553 8134 8576 8632 8978 9296 10192 10624 11122 11648 12194 12544 13132 13312 13936 14336 15008 15106 16268 17152 17264 17956 18592 20384 21248 22244 23296 24388 25088 26264 26624 27872 28672 30016 30212 31423 32536 34304 34528 35912 37184 38927 40768 42496 42679 44488 46592 48776 50176 52528 52871 53248 55744 58357 60032 60424 62846 65072 68608 69056 71824 72293 74368 77854 81536 84992 85358 88976 93184 97552 100352 105056 105742 111488 116714 120064 120848 125692 130144 137216 138112 143648 144586 148736 155708 163072 169984 170716 177952 186368 195104 200704 210112 211484 219961 222976 233428 240128 241696 251384 260288 272489 274432 276224 287296 289172 297472 311416 326144 339968 341432 355904 372587 372736 390208 408499 420224 422968 439922 445952 466856 480256 483392 502768 506051 520576 544978 552448 574592 578344 594944 622832 652288 682864 711808 745174 780416 816998 840448 845936 879844 891904 933712 960512 966784 1005536 1012102 1041152 1089956 1104896 1149184 1156688 1189888 1245664 1304576 1365728 1423616 1490348 1560832 1633996 1680896 1691872 1759688 1783808 1867424 1921024 1933568 2011072 2024204 2082304 2179912 2209792 2298368 2313376 2379776 2491328 2608109 2609152 2731456 2847232 2859493 2980696 3121664 3267992 3361792 3383744 3519376 3542357 3567616 3734848 3867136 4022144 4048408 4164608 4359824 4419584 4596736 4626752 4843631 4982656 5216218 5462912 5694464 5718986 5961392 6243328 6535984 6723584 6767488 7038752 7084714 7469696 7734272 8044288 8096816 8329216 8719648 9193472 9253504 9687262 9965312 10432436 10925824 11388928 11437972 11922784 12486656 13071968 13447168 13534976 14077504 14169428 14939392 15468544 16088576 16193632 16658432 17439296 18256763 18386944 18507008 19374524 19930624 20864872 21851648 22777856 22875944 23845568 24973312 26143936 27069952 28155008 28338856 29878784 30937088 32177152 32387264 33905417 34878592 36513526 37014016 38749048 39861248 41729744 43703296 45751888 47691136 52287872 54139904 56310016 56677712 59757568 64354304 64774528 67810834 69757184 73027052 74028032 77498096 79722496 83459488 87406592 91503776 95382272 104575744 108279808 112620032 113355424 119515136 128708608 129549056 135621668 139514368 146054104 148056064 154996192 159444992 166918976 174813184 183007552 190764544 209151488 216559616 225240064 226710848 237337919 239030272 259098112 271243336 279028736 292108208 296112128 309992384 333837952 366015104 381529088 418302976 450480128 453421696 474675838 518196224 542486672 558057472 584216416 619984768 667675904 732030208 763058176 836605952 900960256 906843392 949351676 1036392448 1084973344 1116114944 1168432832 1239969536 1335351808 1464060416 1526116352 1673211904 1813686784 1898703352 2072784896 2169946688 2336865664 2479939072 2670703616 2928120832 3627373568 3797406704 4339893376 4673731328 4959878144 5341407232 5856241664 7254747136 7594813408 8679786752 9347462656 9919756288 10682814464 11712483328 14509494272 15189626816 17359573504 18694925312 19839512576 30379253632 34719147008 37389850624 60758507264 69438294016 74779701248 121517014528 138876588032 243034029056 486068058112 972136116224
- Sum of all divisors σ(n): 2502062373384
- Sum of proper divisors (its aliquot sum) s(n): 1529926257160
- 972136116224 is an abundant number, because the sum of its proper divisors (1529926257160) is greater than itself. Its abundance is 557790140936
Bases of 972136116224
- Binary: 11100010010101111101001111110000000000002
- Hexadecimal: 0xE257D3F000
- Base-36: CELCQRY8
Squares and roots of 972136116224
- 972136116224 squared (9721361162242) is 945048628467082436018176
- 972136116224 cubed (9721361162243) is 918715903320807445979154587712487424
-
The
square root of 972136116224 is 985969.6325059915 -
The
cube root of 972136116224 is 9906.2441179709
Scales and comparisons
How big is 972136116224?- 972,136,116,224 seconds is equal to 30,910 years, 47 weeks, 6 days, 10 hours, 3 minutes, 44 seconds.
-
To count from 1 to 972,136,116,224 would take you about sixty-one thousand, eight hundred twenty-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 972136116224 cubic inches would be around 825.5 feet tall.
Recreational maths with 972136116224
- 972136116224 backwards is 422611631279
- The number of decimal digits it has is: 12
- The sum of 972136116224's digits is 44
- More coming soon!
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