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42120566502124 = 22115113559133487
BaseRepresentation
bin10011001001110111101010…
…11001110111001011101100
312112010200112200220202121011
421210323311121313023230
521010100410011031444
6225325530543515004
711605052621645635
oct1144736531671354
9175120480822534
1042120566502124
111246a260789450
1248832b85b8a64
131a66c4c4b3946
14a5890961888c
154d09bc7a2734
hex264ef56772ec

42120566502124 has 48 divisors (see below), whose sum is σ = 80444504964096. Its totient is φ = 19137972297600.

The previous prime is 42120566502107. The next prime is 42120566502149.

42120566502124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×421205665021242 (a number of 28 digits) contains 22 as substring.

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, 1257801709 + ... + 1257835195.

It is an arithmetic number, because the mean of its divisors is an integer number (1675927186752).

Almost surely, 242120566502124 is an apocalyptic number.

42120566502124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42120566502124 is a deficient number, since it is larger than the sum of its proper divisors (38323938461972).

42120566502124 is a wasteful number, since it uses less digits than its factorization.

42120566502124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44206 (or 44204 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 42120566502124 in words is "forty-two trillion, one hundred twenty billion, five hundred sixty-six million, five hundred two thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 5113 5591 10226 11182 20452 22364 33487 56243 61501 66974 112486 123002 133948 224972 246004 368357 736714 1473428 28586783 57173566 114347132 171219031 187225817 314454613 342438062 374451634 628909226 684876124 748903268 1257818452 1883409341 2059483987 3766818682 4118967974 7533637364 8237935948 957285602321 1914571204642 3829142409284 10530141625531 21060283251062 42120566502124