46628728645632
46,628,728,645,632 is an even composite number composed of five prime numbers multiplied together.
46628728645632 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 46628728645632:
211 × 3 × 7 × 192 × 17332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 19 × 19 × 1733 × 1733)See below for interesting mathematical facts about the number 46628728645632 from the Numbermatics database.
Names of 46628728645632
- Cardinal: 46628728645632 can be written as Forty-six trillion, six hundred twenty-eight billion, seven hundred twenty-eight million, six hundred forty-five thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 4.6628728645632 × 1013
Factors of 46628728645632
Divisors of 46628728645632
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 361 384 399 448 456 512 532 608 672 722 768 798 896 912 1024 1064 1083 1216 1344 1444 1536 1596 1733 1792 1824 2048 2128 2166 2432 2527 2688 2888 3072 3192 3466 3584 3648 4256 4332 4864 5054 5199 5376 5776 6144 6384 6932 7168 7296 7581 8512 8664 9728 10108 10398 10752 11552 12131 12768 13864 14336 14592 15162 17024 17328 19456 20216 20796 21504 23104 24262 25536 27728 29184 30324 32927 34048 34656 36393 38912 40432 41592 43008 46208 48524 51072 55456 58368 60648 65854 68096 69312 72786 80864 83184 92416 97048 98781 102144 110912 116736 121296 131708 136192 138624 145572 161728 166368 184832 194096 197562 204288 221824 230489 242592 263416 272384 277248 291144 323456 332736 369664 388192 395124 408576 443648 460978 485184 526832 554496 582288 625613 646912 665472 691467 739328 776384 790248 817152 887296 921956 970368 1053664 1108992 1164576 1251226 1293824 1330944 1382934 1552768 1580496 1774592 1843912 1876839 1940736 2107328 2217984 2329152 2502452 2587648 2661888 2765868 3003289 3105536 3160992 3549184 3687824 3753678 3881472 4214656 4379291 4658304 5004904 5175296 5323776 5531736 6006578 6211072 6321984 7375648 7507356 7762944 8429312 8758582 9009867 9316608 10009808 10647552 11063472 12013156 12422144 12643968 13137873 14751296 15014712 15525888 16858624 17517164 18019734 18633216 20019616 21023023 22126944 24026312 24844288 25287936 26275746 29502592 30029424 33717248 35034328 36039468 37266432 40039232 42046046 44253888 48052624 50575872 52551492 57062491 59005184 60058848 63069069 67434496 70068656 72078936 74532864 80078464 84092092 88507776 96105248 101151744 105102984 114124982 118010368 120117696 126138138 140137312 144157872 160156928 168184184 171187473 177015552 192210496 202303488 210205968 228249964 236020736 240235392 252276276 280274624 288315744 320313856 336368368 342374946 354031104 384420992 399437437 420411936 456499928 472041472 480470784 504552552 560549248 576631488 640627712 672736736 684749892 708062208 768841984 798874874 840823872 912999856 960941568 1009105104 1084187329 1121098496 1153262976 1198312311 1281255424 1345473472 1369499784 1416124416 1537683968 1597749748 1681647744 1825999712 1921883136 2018210208 2168374658 2242196992 2306525952 2396624622 2690946944 2738999568 3075367936 3195499496 3252561987 3363295488 3651999424 3843766272 4036420416 4336749316 4484393984 4613051904 4793249244 5381893888 5477999136 6150735872 6390998992 6505123974 6726590976 7303998848 7589311303 8072840832 8673498632 8968787968 9226103808 9586498488 10763787776 10955998272 12781997984 13010247948 13453181952 14607997696 15178622606 16145681664 17346997264 18452207616 19172996976 21527575552 21911996544 22767933909 25563995968 26020495896 26906363904 29215995392 30357245212 32291363328 34693994528 38345993952 43055151104 43823993088 45535867818 51127991936 52040991792 58431990784 60714490424 64582726656 69387989056 76691987904 87647986176 91071735636 102255983872 104081983584 116863981568 121428980848 129165453312 138775978112 153383975808 175295972352 182143471272 204511967744 208163967168 242857961696 277551956224 306767951616 350591944704 364286942544 409023935488 416327934336 485715923392 555103912448 613535903232 728573885088 818047870976 832655868672 971431846784 1110207824896 1227071806464 1457147770176 1665311737344 1942863693568 2220415649792 2454143612928 2914295540352 3330623474688 3885727387136 5828591080704 6661246949376 7771454774272 11657182161408 15542909548544 23314364322816 46628728645632
- Sum of all divisors σ(n): 150029499503520
- Sum of proper divisors (its aliquot sum) s(n): 103400770857888
- 46628728645632 is an abundant number, because the sum of its proper divisors (103400770857888) is greater than itself. Its abundance is 56772042212256
Bases of 46628728645632
- Binary: 10101001101000100110001100111010101000000000002
- Hexadecimal: 0x2A6898CEA800
- Base-36: GJ0XX48AO
Squares and roots of 46628728645632
- 46628728645632 squared (466287286456322) is 2174238335107982249032679424
- 46628728645632 cubed (466287286456323) is 101381969338680799691409867380359553875968
-
The
square root of 46628728645632 is 6828523.1672472197 -
The
cube root of 46628728645632 is 35992.9843956679
Scales and comparisons
How big is 46628728645632?- 46,628,728,645,632 seconds is equal to 1,482,649 years, 17 weeks, 4 days, 7 hours, 47 minutes, 12 seconds.
-
To count from 1 to 46,628,728,645,632 would take you about three million, seven hundred six thousand, six hundred twenty-three 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 46628728645632 cubic inches would be around 2999.4 feet tall.
Recreational maths with 46628728645632
- 46628728645632 backwards is 23654682782664
- The number of decimal digits it has is: 14
- The sum of 46628728645632's digits is 69
- More coming soon!
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