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42002355320024 = 2311677123873019
BaseRepresentation
bin10011000110011011011110…
…11101111111010011011000
312111201101102100201111221112
421203031233131333103120
521001131310430220044
6225155340551555452
711563366343326031
oct1143155735772330
9174641370644845
1042002355320024
111242410a640730
12486440798bb88
131a58a60aa2a08
14a52cd3ab7a88
154cc89e89709e
hex26336f77f4d8

42002355320024 has 32 divisors (see below), whose sum is σ = 87196205764800. Its totient is φ = 18807024767520.

The previous prime is 42002355320011. The next prime is 42002355320041.

42002355320024 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3561930614 + ... + 3561942405.

It is an arithmetic number, because the mean of its divisors is an integer number (2724881430150).

Almost surely, 242002355320024 is an apocalyptic number.

42002355320024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42002355320024 is an abundant number, since it is smaller than the sum of its proper divisors (45193850444776).

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

42002355320024 is a wasteful number, since it uses less digits than its factorization.

42002355320024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123873103 (or 7123873099 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

It can be divided in two parts, 4200235 and 5320024, that added together give a palindrome (9520259).

The spelling of 42002355320024 in words is "forty-two trillion, two billion, three hundred fifty-five million, three hundred twenty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1474 2948 5896 7123873019 14247746038 28495492076 56990984152 78362603209 156725206418 313450412836 477299492273 626900825672 954598984546 1909197969092 3818395938184 5250294415003 10500588830006 21001177660012 42002355320024