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42964550042304 = 2631153233821729
BaseRepresentation
bin10011100010011011101101…
…01111100100001011000000
312122010101000100211211220110
421301031312233210023000
521112412344302323204
6231213350344111320
712023041413452352
oct1161156657441300
9178111010754813
1042964550042304
1112765188462950
12499a998a65540
131ac87028c0327
14a876d12190d2
154e791714e889
hex271376be42c0

42964550042304 has 112 divisors (see below), whose sum is σ = 124034644609920. Its totient is φ = 13017111306240.

The previous prime is 42964550042299. The next prime is 42964550042357. The reversal of 42964550042304 is 40324005546924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9331312 + ... + 13153040.

Almost surely, 242964550042304 is an apocalyptic number.

42964550042304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42964550042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62017322304960).

42964550042304 is an abundant number, since it is smaller than the sum of its proper divisors (81070094567616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42964550042304 is a wasteful number, since it uses less digits than its factorization.

42964550042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827078 (or 3827068 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 42964550042304 in words is "forty-two trillion, nine hundred sixty-four billion, five hundred fifty million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5323 10646 15969 21292 31938 42584 58553 63876 85168 117106 127752 170336 175659 234212 255504 340672 351318 468424 511008 702636 936848 1022016 1405272 1873696 2810544 3747392 3821729 5621088 7643458 11242176 11465187 15286916 22930374 30573832 42039019 45860748 61147664 84078038 91721496 122295328 126117057 168156076 183442992 244590656 252234114 336312152 366885984 504468228 672624304 733771968 1008936456 1345248608 2017872912 2690497216 4035745824 8071491648 20343063467 40686126934 61029190401 81372253868 122058380802 162744507736 223773698137 244116761604 325489015472 447547396274 488233523208 650978030944 671321094411 895094792548 976467046416 1301956061888 1342642188822 1790189585096 1952934092832 2685284377644 3580379170192 3905868185664 5370568755288 7160758340384 10741137510576 14321516680768 21482275021152 42964550042304