106501331664
106,501,331,664 is an even composite number composed of seven prime numbers multiplied together.
106501331664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 106501331664:
24 × 32 × 7 × 13 × 53 × 89 × 1723
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 53 × 89 × 1723)See below for interesting mathematical facts about the number 106501331664 from the Numbermatics database.
Names of 106501331664
- Cardinal: 106501331664 can be written as One hundred six billion, five hundred one million, three hundred thirty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.06501331664 × 1011
Factors of 106501331664
Divisors of 106501331664
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 53 56 63 72 78 84 89 91 104 106 112 117 126 144 156 159 168 178 182 208 212 234 252 267 273 312 318 336 356 364 371 424 468 477 504 534 546 623 624 636 689 712 728 742 801 819 848 936 954 1008 1068 1092 1113 1157 1246 1272 1378 1424 1456 1484 1602 1638 1723 1869 1872 1908 2067 2136 2184 2226 2314 2492 2544 2756 2968 3204 3276 3339 3446 3471 3738 3816 4134 4272 4368 4452 4628 4717 4823 4984 5169 5512 5607 5936 6201 6408 6552 6678 6892 6942 7476 7632 8099 8268 8904 9256 9434 9646 9968 10338 10413 11024 11214 12061 12402 12816 13104 13356 13784 13884 14151 14469 14952 15507 16198 16536 17808 18512 18868 19292 20676 20826 22399 22428 24122 24297 24804 26712 27568 27768 28302 28938 29904 31014 32396 33019 33072 36183 37736 38584 41352 41652 42453 43407 44798 44856 48244 48594 49608 53424 55536 56604 57876 61321 62028 64792 66038 67197 72366 72891 75472 77168 82704 83304 84906 86814 89596 89712 91319 96488 97188 99057 99216 108549 113208 115752 122642 124056 129584 132076 134394 144732 145782 153347 156793 166608 169812 173628 179192 182638 183963 192976 194376 198114 201591 217098 226416 231504 245284 248112 264152 268788 273957 289464 291564 297171 306694 313586 339624 347256 358384 365276 367926 388752 396228 403182 429247 434196 460041 470379 490568 528304 537576 547914 551889 578928 583128 594342 613388 627172 639233 679248 694512 730552 735852 792456 806364 821871 858494 868392 920082 940758 981136 1073429 1075152 1095828 1103778 1166256 1187147 1188684 1226776 1254344 1278466 1287741 1380123 1411137 1461104 1471704 1584912 1612728 1643742 1716988 1736784 1840164 1881516 1917699 1993511 2146858 2191656 2207556 2374294 2377368 2453552 2508688 2556932 2575482 2760246 2822274 2943408 3220287 3225456 3287484 3433976 3561441 3680328 3763032 3835398 3863223 3987022 4293716 4383312 4415112 4748588 4754736 5113864 5150964 5520492 5644548 5753097 5980533 6440574 6574968 6867952 7122882 7360656 7526064 7670796 7726446 7974044 8127391 8310029 8587432 8830224 9497176 9660861 10227728 10301928 10684323 11040984 11289096 11506194 11961066 12881148 13149936 13954577 14245764 15341592 15452892 15948088 16254782 16620058 17174864 17941599 18994352 19321722 20603856 21368646 22081968 22578192 23012388 23922132 24382173 24930087 25762296 27909154 28491528 30683184 30905784 31896176 32509564 33240116 35883198 38643444 41863731 42737292 46024776 47844264 48764346 49860174 51524592 55818308 56891737 56983056 61811568 65019128 66480232 71766396 73146519 74790261 77286888 83727462 85474584 92049552 95688528 97528692 99720348 105656083 111636616 113783474 125591193 130038256 132960464 143532792 146293038 149580522 154573776 167454924 170675211 170949168 195057384 199440696 211312166 223273232 227566948 251182386 287065584 292586076 299161044 316968249 334909848 341350422 390114768 398881392 422624332 455133896 502364772 512025633 585172152 598322088 633936498 669819696 682700844 739592581 845248664 910267792 950904747 1004729544 1024051266 1170344304 1196644176 1267872996 1365401688 1479185162 1690497328 1901809494 2009459088 2048102532 2218777743 2535745992 2730803376 2958370324 3803618988 4096205064 4437555486 5071491984 5916740648 6656333229 7607237976 8192410128 8875110972 11833481296 13312666458 15214475952 17750221944 26625332916 35500443888 53250665832 106501331664
- Sum of all divisors σ(n): 378178295040
- Sum of proper divisors (its aliquot sum) s(n): 271676963376
- 106501331664 is an abundant number, because the sum of its proper divisors (271676963376) is greater than itself. Its abundance is 165175631712
Bases of 106501331664
- Binary: 11000110010111111100101011010110100002
- Hexadecimal: 0x18CBF95AD0
- Base-36: 1CXC55G0
Squares and roots of 106501331664
- 106501331664 squared (1065013316642) is 11342533646205329008896
- 106501331664 cubed (1065013316643) is 1207994937764592979820673302482944
-
The
square root of 106501331664 is 326345.4177156469 -
The
cube root of 106501331664 is 4740.0728098627
Scales and comparisons
How big is 106501331664?- 106,501,331,664 seconds is equal to 3,386 years, 21 weeks, 3 days, 7 hours, 14 minutes, 24 seconds.
-
To count from 1 to 106,501,331,664 would take you about six thousand, seven hundred seventy-two 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 106501331664 cubic inches would be around 395 feet tall.
Recreational maths with 106501331664
- 106501331664 backwards is 466133105601
- 106501331664 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106501331664's digits is 36
- More coming soon!
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