106745142064088
106,745,142,064,088 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106745142064088 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
106745142064088 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 106745142064088:
23 × 112 × 71 × 73 × 97 × 421 × 521
(2 × 2 × 2 × 11 × 11 × 71 × 73 × 97 × 421 × 521)See below for interesting mathematical facts about the number 106745142064088 from the Numbermatics database.
Names of 106745142064088
- Cardinal: 106745142064088 can be written as One hundred six trillion, seven hundred forty-five billion, one hundred forty-two million, sixty-four thousand and eighty-eight.
Scientific notation
- Scientific notation: 1.06745142064088 × 1014
Factors of 106745142064088
Divisors of 106745142064088
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 8 11 22 44 71 73 88 97 121 142 146 194 242 284 292 388 421 484 521 568 584 776 781 803 842 968 1042 1067 1562 1606 1684 2084 2134 3124 3212 3368 4168 4268 4631 5183 5731 6248 6424 6887 7081 8536 8591 8833 9262 10366 11462 11737 13774 14162 17182 17666 18524 20732 22924 23474 27548 28324 29891 30733 34364 35332 36991 37048 38033 40837 41464 45848 46948 50537 50941 55096 56648 57013 59782 61466 63041 68728 70664 73982 75757 76066 77891 81674 93896 101074 101882 114026 119564 122932 126082 147964 151514 152132 155782 163348 202148 203764 219341 228052 239128 245864 252164 295928 303028 304264 311564 326696 328801 338063 404296 406901 407528 418363 438682 449207 456104 502751 504328 555907 606056 623128 627143 657602 676126 813802 833327 836726 856801 877364 898414 1005502 1111814 1254286 1315204 1352252 1627604 1666654 1673452 1713602 1754728 1796828 2011004 2182043 2223628 2412751 2508572 2630408 2700343 2704504 2899427 2981101 3255208 3333308 3346904 3427204 3588127 3593656 3616811 3689201 3718693 4022008 4364086 4447256 4475911 4601993 4825502 4941277 5017144 5400686 5530261 5798854 5962202 6114977 6666616 6854408 7176254 7233622 7378402 7437386 8728172 8951822 9203986 9651004 9882554 10801372 11060522 11597708 11924404 12229954 14352508 14467244 14756804 14874772 15573211 16011893 17456344 17903644 18407972 19302008 19765108 21276077 21602744 22121044 23195416 23848808 24002473 24459908 26540261 28705016 28934488 29513608 29703773 29749544 31146422 31893697 32023786 32792111 35807288 36815944 39469397 39530216 40581211 42552154 44242088 48004946 48919816 53080522 59407546 60832871 62292844 63787394 64047572 65584222 78938794 81162422 85104308 96009892 106161044 118815092 121665742 124585688 127574788 128095144 131168444 157877588 162324844 170208616 171305321 176130823 192019784 211658171 212322088 234036847 237630184 243331484 255149576 261933271 262336888 264027203 315755176 324649688 326741503 342610642 350830667 352261646 360713221 423316342 434163367 446393321 468073694 486662968 523866542 528054406 653483006 685221284 701661334 704523292 721426442 846632684 868326734 892786642 936147388 1047733084 1056108812 1136844403 1306966012 1370442568 1403322668 1409046584 1442852884 1510601467 1553153621 1693265368 1736653468 1785573284 1872294776 1884358531 1937439053 2095466168 2112217624 2273688806 2328239881 2574405317 2613932024 2806645336 2881265981 2885705768 3021202934 3106307242 3473306936 3571146568 3768717062 3874878106 4547377612 4656479762 5148810634 5762531962 6042405868 6212614484 7537434124 7749756212 9094755224 9312959524 10297621268 11525063924 12084811736 12425228968 12505288433 15074868248 15499512424 16616616137 17084689831 18625919048 20595242536 23050127848 25010576866 25610638691 31693925791 33233232274 34169379662 50021153732 51221277382 63387851582 66466464548 68338759324 100042307464 102442554764 110273907091 126775703164 132932929096 136677518648 137558172763 182782777507 187931588141 204885109528 220547814182 253551406328 275116345526 365565555014 375863176282 441095628364 550232691052 731131110028 751726352564 882191256728 1100465382104 1213012978001 1462262220056 1503452705128 2426025956002 4852051912004 9704103824008 13343142758011 26686285516022 53372571032044 106745142064088
- Sum of all divisors σ(n): 229464837947520
- Sum of proper divisors (its aliquot sum) s(n): 122719695883432
- 106745142064088 is an abundant number, because the sum of its proper divisors (122719695883432) is greater than itself. Its abundance is 15974553819344
Bases of 106745142064088
- Binary: 110000100010101100010100100011000110011110110002
- Hexadecimal: 0x61158A4633D8
- Base-36: 11U61HI95K
Squares and roots of 106745142064088
- 106745142064088 squared (1067451420640882) is 11394525354282329325099271744
- 106745142064088 cubed (1067451420640883) is 1216310227695719892803731848196829775529472
-
The
square root of 106745142064088 is 10331754.0652150639 -
The
cube root of 106745142064088 is 47436.8715678401
Scales and comparisons
How big is 106745142064088?- 106,745,142,064,088 seconds is equal to 3,394,165 years, 17 weeks, 2 days, 7 hours, 8 minutes, 8 seconds.
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To count from 1 to 106,745,142,064,088 would take you about eight million, four hundred eighty-five thousand, four hundred thirteen 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 106745142064088 cubic inches would be around 3953.1 feet tall.
Recreational maths with 106745142064088
- 106745142064088 backwards is 880460241547601
- The number of decimal digits it has is: 15
- The sum of 106745142064088's digits is 56
- More coming soon!
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