138428611345861760
138,428,611,345,861,760 is an even composite number composed of six prime numbers multiplied together.
138428611345861760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138428611345861760:
27 × 5 × 7 × 11 × 31 × 90613617607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 31 × 90613617607)See below for interesting mathematical facts about the number 138428611345861760 from the Numbermatics database.
Names of 138428611345861760
- Cardinal: 138428611345861760 can be written as One hundred thirty-eight quadrillion, four hundred twenty-eight trillion, six hundred eleven billion, three hundred forty-five million, eight hundred sixty-one thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3842861134586176 × 1017
Factors of 138428611345861760
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 90613617663
Divisors of 138428611345861760
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 31 32 35 40 44 55 56 62 64 70 77 80 88 110 112 124 128 140 154 155 160 176 217 220 224 248 280 308 310 320 341 352 385 434 440 448 496 560 616 620 640 682 704 770 868 880 896 992 1085 1120 1232 1240 1364 1408 1540 1705 1736 1760 1984 2170 2240 2387 2464 2480 2728 3080 3410 3472 3520 3968 4340 4480 4774 4928 4960 5456 6160 6820 6944 7040 8680 9548 9856 9920 10912 11935 12320 13640 13888 17360 19096 19840 21824 23870 24640 27280 27776 34720 38192 43648 47740 49280 54560 69440 76384 95480 109120 138880 152768 190960 218240 305536 381920 763840 1527680 90613617607 181227235214 362454470428 453068088035 634295323249 724908940856 906136176070 996749793677 1268590646498 1449817881712 1812272352140 1993499587354 2537181292996 2809022145817 2899635763424 3171476616245 3624544704280 3986999174708 4983748968385 5074362585992 5618044291634 5799271526848 6342953232490 6977248555739 7249089408560 7973998349416 9967497936770 10148725171984 11236088583268 11598543053696 12685906464980 13954497111478 14045110729085 14498178817120 15947996698832 19663155020719 19934995873540 20297450343968 22472177166536 25371812929960 27908994222956 28090221458170 28996357634240 30899243603987 31895993397664 34886242778695 39326310041438 39869991747080 40594900687936 44944354333072 50743625859920 55817988445912 56180442916340 57992715268480 61798487207974 63791986795328 69772485557390 78652620082876 79739983494160 81189801375872 89888708666144 98315775103595 101487251719840 111635976891824 112360885832680 123596974415948 127583973590656 139544971114780 154496218019935 157305240165752 159479966988320 179777417332288 196631550207190 202974503439680 216294705227909 223271953783648 224721771665360 247193948831896 279089942229560 308992436039870 314610480331504 318959933976640 359554834664576 393263100414380 405949006879360 432589410455818 446543907567296 449443543330720 494387897663792 558179884459120 617984872079740 629220960663008 637919867953280 786526200828760 865178820911636 893087815134592 898887086661440 988775795327584 1081473526139545 1116359768918240 1235969744159480 1258441921326016 1573052401657520 1730357641823272 1797774173322880 1977551590655168 2162947052279090 2232719537836480 2471939488318960 2516883842652032 3146104803315040 3460715283646544 3955103181310336 4325894104558180 4465439075672960 4943878976637920 6292209606630080 6921430567293088 8651788209116360 9887757953275840 12584419213260160 13842861134586176 17303576418232720 19775515906551680 27685722269172352 34607152836465440 69214305672930880 138428611345861760
- Sum of all divisors σ(n): 425898500936417280
- Sum of proper divisors (its aliquot sum) s(n): 287469889590555520
- 138428611345861760 is an abundant number, because the sum of its proper divisors (287469889590555520) is greater than itself. Its abundance is 149041278244693760
Bases of 138428611345861760
- Binary: 1111010111100110000010110101011100000010101001100100000002
- Hexadecimal: 0x1EBCC16AE054C80
- Base-36: 11V0UI4YHVNK
Squares and roots of 138428611345861760
- 138428611345861760 squared (1384286113458617602) is 19162480439143647189251077030297600
- 138428611345861760 cubed (1384286113458617603) is 2652635557132894320529875433251532268227901259776000
-
The
square root of 138428611345861760 is 372059956.6546523157 -
The
cube root of 138428611345861760 is 517299.3754695145
Scales and comparisons
How big is 138428611345861760?- 138,428,611,345,861,760 seconds is equal to 4,401,601,652 years, 51 weeks, 3 days, 5 hours, 9 minutes, 20 seconds.
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To count from 1 to 138,428,611,345,861,760 would take you about thirteen billion, two hundred four million, eight hundred four thousand, nine hundred fifty-eight 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 138428611345861760 cubic inches would be around 43108.3 feet tall.
Recreational maths with 138428611345861760
- 138428611345861760 backwards is 067168543116824831
- The number of decimal digits it has is: 18
- The sum of 138428611345861760's digits is 74
- More coming soon!
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