97632990918144
97,632,990,918,144 is an even composite number composed of seven prime numbers multiplied together.
97632990918144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 97632990918144:
29 × 33 × 112 × 17 × 19 × 157 × 1151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 17 × 19 × 157 × 1151)See below for interesting mathematical facts about the number 97632990918144 from the Numbermatics database.
Names of 97632990918144
- Cardinal: 97632990918144 can be written as Ninety-seven trillion, six hundred thirty-two billion, nine hundred ninety million, nine hundred eighteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.7632990918144 × 1013
Factors of 97632990918144
Divisors of 97632990918144
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 19 22 24 27 32 33 34 36 38 44 48 51 54 57 64 66 68 72 76 88 96 99 102 108 114 121 128 132 136 144 152 153 157 171 176 187 192 198 204 209 216 228 242 256 264 272 288 297 304 306 314 323 342 352 363 374 384 396 408 418 432 456 459 471 484 512 513 528 544 561 576 594 608 612 627 628 646 684 704 726 748 768 792 816 836 864 912 918 942 968 969 1026 1056 1088 1089 1122 1151 1152 1188 1216 1224 1254 1256 1292 1368 1408 1413 1452 1496 1536 1584 1632 1672 1683 1727 1728 1824 1836 1881 1884 1936 1938 2052 2057 2112 2176 2178 2244 2299 2302 2304 2376 2432 2448 2508 2512 2584 2669 2736 2816 2826 2904 2907 2983 2992 3168 3264 3267 3344 3366 3453 3454 3456 3553 3648 3672 3762 3768 3872 3876 4104 4114 4224 4239 4352 4356 4488 4598 4604 4608 4752 4864 4896 5016 5024 5049 5168 5181 5338 5472 5632 5643 5652 5808 5814 5966 5984 6171 6336 6528 6534 6688 6732 6897 6906 6908 6912 7106 7296 7344 7524 7536 7744 7752 8007 8208 8228 8448 8478 8704 8712 8721 8949 8976 9196 9208 9504 9728 9792 10032 10048 10098 10336 10359 10362 10659 10676 10944 11286 11304 11616 11628 11932 11968 12342 12661 12672 13056 13068 13376 13464 13794 13812 13816 13824 14212 14592 14688 15048 15072 15488 15504 15543 16014 16416 16456 16896 16956 17424 17442 17898 17952 18392 18416 18513 18997 19008 19567 19584 20064 20096 20196 20672 20691 20718 20724 21318 21352 21869 21888 22572 22608 23232 23256 23864 23936 24021 24684 25322 25344 26112 26136 26752 26847 26928 27588 27624 27632 28424 29184 29359 29376 30096 30144 30976 31008 31077 31086 31977 32028 32813 32832 32912 33912 34848 34884 35796 35904 36784 36832 37026 37983 37994 38016 39083 39134 39168 40128 40192 40392 41344 41382 41436 41448 42636 42704 43738 43776 45144 45216 46464 46512 46629 47728 47872 48042 49368 50644 50688 50711 52272 53504 53694 53856 55176 55248 55264 55539 56848 56991 58701 58718 58752 60192 60288 61952 62016 62073 62154 62172 63954 64056 65607 65626 65664 65824 67824 69696 69768 71592 71808 72063 73568 73664 74052 75966 75988 76032 78166 78268 78336 80256 80384 80541 80784 82688 82764 82872 82896 85272 85408 87476 87552 88077 90288 90432 92928 93024 93258 95456 95744 95931 96084 98439 98736 101288 101422 104544 107008 107388 107712 110352 110496 110528 111078 113696 113949 113982 117249 117402 117436 117504 120384 120576 124032 124146 124308 124344 127908 128112 131214 131252 131328 131648 135648 139271 139392 139536 143184 143616 144126 147136 147328 148104 151932 151976 152064 152133 156332 156536 160512 161082 161568 165376 165528 165744 165792 170544 170816 170973 174952 176103 176154 180576 180707 180864 185856 186048 186516 190912 191862 192168 196821 196878 197472 202576 202844 209088 214776 215237 215424 220704 220992 221056 222156 227392 227898 227964 234498 234804 234872 235008 240559 240768 241152 248064 248292 248616 248688 255816 256224 262428 262504 262656 263296 264231 271296 278542 278784 279072 286368 287232 288252 294272 294656 295317 296208 303864 303952 304266 312664 313072 321024 322164 322949 323136 331056 331488 331584 341088 341632 341847 341946 349904 351747 352206 352308 360943 361152 361414 361728 371773 372096 373032 381824 383724 384336 393642 393756 394944 405152 405688 417813 418176 429552 430474 430848 441408 441984 442112 444312 454784 455796 455928 456399 468996 469608 469744 481118 481536 496128 496584 497232 497376 511632 512448 512919 524856 525008 526592 528309 528462 542121 542592 557084 557568 557821 558144 572736 576504 588544 589312 590463 590634 592416 607728 607904 608532 625328 626144 644328 645711 645898 646272 662112 662976 663168 682176 683264 683694 683892 699808 703494 704412 704616 721677 721886 722304 722828 723456 743546 744192 746064 763648 767448 768672 787284 787512 789888 792693 810304 811376 835626 836352 859104 860948 861696 882816 883968 884224 885951 888624 909568 911592 911856 912798 937992 939216 939488 962236 963072 968847 993168 994464 994752 1023264 1024896 1025838 1049712 1050016 1053184 1055241 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106354020608 107053718112 113001146896 116785874304 119648273184 123273978432 127126290258 130525388928 134480703744 138683225736 142738290816 151134660864 155466546048 155714499072 159531030912 160580577168 164365304576 169501720344 174033851904 179472409776 184910967648 190317721088 190689435387 201721055616 207288728064 212708041216 214107436224 226002293792 233571748608 239296546368 246547956864 254252580516 261050777856 268961407488 277366451472 285476581632 302269321728 310933092096 319062061824 321161154336 328730609152 339003440688 358944819552 369821935296 381378870774 403442111232 428214872448 452004587584 467143497216 478593092736 493095913728 508505161032 522101555712 554732902944 570953163264 621866184192 638124123648 642322308672 678006881376 717889639104 739643870592 762757741548 806884222464 856429744896 904009175168 957186185472 986191827456 1017010322064 1109465805888 1284644617344 1356013762752 1435779278208 1479287741184 1525515483096 1712859489792 1808018350336 1914372370944 2034020644128 2218931611776 2569289234688 2712027525504 2871558556416 2958575482368 3051030966192 3616036700672 4068041288256 4437863223552 5138578469376 5424055051008 5743117112832 6102061932384 8136082576512 8875726447104 10848110102016 12204123864768 16272165153024 24408247729536 32544330306048 48816495459072 97632990918144
- Sum of all divisors σ(n): 356614775193600
- Sum of proper divisors (its aliquot sum) s(n): 258981784275456
- 97632990918144 is an abundant number, because the sum of its proper divisors (258981784275456) is greater than itself. Its abundance is 161348793357312
Bases of 97632990918144
- Binary: 101100011001011111100111011110111110110000000002
- Hexadecimal: 0x58CBF3BDF600
- Base-36: YLVZ5ZEO0
Squares and roots of 97632990918144
- 97632990918144 squared (976329909181442) is 9532200915622388784108404736
- 97632990918144 cubed (976329909181443) is 930657285424884605408170566302267797929984
-
The
square root of 97632990918144 is 9880940.7911465597 -
The
cube root of 97632990918144 is 46046.7374559327
Scales and comparisons
How big is 97632990918144?- 97,632,990,918,144 seconds is equal to 3,104,427 years, 5 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 97,632,990,918,144 would take you about seven million, seven hundred sixty-one thousand and sixty-seven 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 97632990918144 cubic inches would be around 3837.2 feet tall.
Recreational maths with 97632990918144
- 97632990918144 backwards is 44181909923679
- 97632990918144 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 97632990918144's digits is 72
- More coming soon!
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"Number 97632990918144 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 97632990918144 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/97632990918144/
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The information we have on file for 97632990918144 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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