106007664816352
106,007,664,816,352 is an even composite number composed of seven prime numbers multiplied together.
106007664816352 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 106007664816352:
25 × 13 × 19 × 127 × 131 × 199 × 4051
(2 × 2 × 2 × 2 × 2 × 13 × 19 × 127 × 131 × 199 × 4051)See below for interesting mathematical facts about the number 106007664816352 from the Numbermatics database.
Names of 106007664816352
- Cardinal: 106007664816352 can be written as One hundred six trillion, seven billion, six hundred sixty-four million, eight hundred sixteen thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.06007664816352 × 1014
Factors of 106007664816352
Divisors of 106007664816352
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 8 13 16 19 26 32 38 52 76 104 127 131 152 199 208 247 254 262 304 398 416 494 508 524 608 796 988 1016 1048 1592 1651 1703 1976 2032 2096 2413 2489 2587 3184 3302 3406 3781 3952 4051 4064 4192 4826 4978 5174 6368 6604 6812 7562 7904 8102 9652 9956 10348 13208 13624 15124 16204 16637 19304 19912 20696 25273 26069 26416 27248 30248 31369 32357 32408 33274 38608 39824 41392 49153 50546 52138 52663 52832 54496 60496 62738 64714 64816 66548 76969 77216 79648 82784 98306 101092 104276 105326 120992 125476 129428 129632 133096 153938 196612 202184 208552 210652 216281 250952 258856 266192 307876 316103 328549 338897 393224 404368 417104 421304 432562 480187 495311 501904 514477 517712 530681 532384 615752 632206 657098 677794 786448 806149 808736 834208 842608 865124 960374 990622 1000597 1003808 1028954 1035424 1061362 1231504 1264412 1314196 1355588 1572896 1612298 1685216 1730248 1920748 1981244 2001194 2057908 2122724 2463008 2528824 2628392 2711176 3224596 3310763 3460496 3841496 3962488 4002388 4109339 4115816 4245448 5057648 5256784 5422352 6242431 6439043 6449192 6621526 6688201 6898853 6920992 7682992 7924976 8004776 8218678 8231632 8490896 9775063 10082939 10115296 10479937 10513568 10844704 12484862 12878086 12898384 13243052 13376402 13797706 15316831 15365984 15849952 16009552 16437356 16463264 16981792 19550126 20165878 20959874 24969724 25756172 25796768 26486104 26752804 27595412 30633662 32019104 32874712 39100252 40331756 41919748 43039919 49939448 51512344 52972208 53505608 55190824 61267324 62904497 65749424 67396487 78200504 80663512 83839496 86079838 99878896 102380923 103024688 105605519 105944416 107011216 110381648 122534648 125808994 127075819 131078207 131498848 134792974 156401008 161327024 167678992 172159676 199118803 199757792 204761846 206049376 211211038 214022432 220763296 245069296 251617988 254151638 262156414 269585948 312802016 322654048 335357984 344319352 398237606 409523692 422422076 490138592 503235976 508303276 524312828 539171896 688638704 796475212 817758461 819047384 844844152 876154331 1006471952 1016606552 1048625656 1078343792 1280533253 1330951999 1372871747 1377277408 1592950424 1635516922 1638094768 1689688304 1752308662 1945237537 2006504861 2012943904 2033213104 2097251312 2156687584 2561066506 2661903998 2745743494 3185900848 3271033844 3276189536 3379376608 3504617324 3890475074 4013009722 4066426208 4194502624 5122133012 5323807996 5491486988 6371801696 6542067688 7009234648 7780950148 8026019444 10244266024 10647615992 10982973976 13084135376 13411900913 14018469296 15561900296 16052038888 16646932289 20488532048 21295231984 21965947952 25288087981 26084563193 26168270752 26823801826 28036938592 31123800592 32104077776 33293864578 40977064096 42590463968 43931895904 50576175962 52169126386 53647603652 62247601184 64208155552 66587729156 101152351924 104338252772 107295207304 133175458312 174354711869 202304703848 208676505544 214590414608 254826117347 266350916624 348709423738 404609407696 417353011088 429180829216 509652234694 532701833248 697418847476 809218815392 834706022176 1019304469388 1394837694952 2038608938776 2789675389904 3312739525511 4077217877552 5579350779808 6625479051022 8154435755104 13250958102044 26501916204088 53003832408176 106007664816352
- Sum of all divisors σ(n): 241536024576000
- Sum of proper divisors (its aliquot sum) s(n): 135528359759648
- 106007664816352 is an abundant number, because the sum of its proper divisors (135528359759648) is greater than itself. Its abundance is 29520694943296
Bases of 106007664816352
- Binary: 110000001101001110101010011010001110000111000002
- Hexadecimal: 0x6069D53470E0
- Base-36: 11KR8YLEXS
Squares and roots of 106007664816352
- 106007664816352 squared (1060076648163522) is 11237624999816033709886587904
- 106007664816352 cubed (1060076648163523) is 1191274384312355807180149639767032064606208
-
The
square root of 106007664816352 is 10296002.3706461919 -
The
cube root of 106007664816352 is 47327.3755976597
Scales and comparisons
How big is 106007664816352?- 106,007,664,816,352 seconds is equal to 3,370,715 years, 43 weeks, 4 days, 5 minutes, 52 seconds.
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To count from 1 to 106,007,664,816,352 would take you about eight million, four hundred twenty-six thousand, seven hundred eighty-nine 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 106007664816352 cubic inches would be around 3943.9 feet tall.
Recreational maths with 106007664816352
- 106007664816352 backwards is 253618466700601
- The number of decimal digits it has is: 15
- The sum of 106007664816352's digits is 55
- More coming soon!
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