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42241338814224 = 24311113707987041
BaseRepresentation
bin10011001101011000100111…
…11111101010111100010000
312112120020021112022220010110
421212230103333222330100
521014040230214023344
6225501223025401320
711616556516446054
oct1146542377527420
9175506245286113
1042241338814224
11125064a6593030
1248a27a2a99240
131a754586a8404
14a606c535dc64
154d3bda4613b9
hex266b13feaf10

42241338814224 has 80 divisors (see below), whose sum is σ = 120097257908544. Its totient is φ = 12687127756800.

The previous prime is 42241338814223. The next prime is 42241338814231. The reversal of 42241338814224 is 42241883314224.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42241338814223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353933857 + ... + 354053184.

Almost surely, 242241338814224 is an apocalyptic number.

42241338814224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42241338814224 is an abundant number, since it is smaller than the sum of its proper divisors (77855919094320).

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

42241338814224 is a wasteful number, since it uses less digits than its factorization.

42241338814224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707987176 (or 707987170 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The spelling of 42241338814224 in words is "forty-two trillion, two hundred forty-one billion, three hundred thirty-eight million, eight hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 113 132 176 226 264 339 452 528 678 904 1243 1356 1808 2486 2712 3729 4972 5424 7458 9944 14916 19888 29832 59664 707987041 1415974082 2123961123 2831948164 4247922246 5663896328 7787857451 8495844492 11327792656 15575714902 16991688984 23363572353 31151429804 33983377968 46727144706 62302859608 80002535633 93454289412 124605719216 160005071266 186908578824 240007606899 320010142532 373817157648 480015213798 640020285064 880027891963 960030427596 1280040570128 1760055783926 1920060855192 2640083675889 3520111567852 3840121710384 5280167351778 7040223135704 10560334703556 14080446271408 21120669407112 42241338814224