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413415014022 = 2357103119759
BaseRepresentation
bin1100000010000010111…
…01000111111010000110
31110112002121021200200000
412001001131013322012
523233133220422042
6513530434302130
741603544432033
oct6010135077206
91415077250600
10413415014022
1114a367aa7a4a
1268157a27946
132cca59aa46a
141601bac038a
15ab494c774c
hex6041747e86

413415014022 has 48 divisors (see below), whose sum is σ = 929046343680. Its totient is φ = 137784453192.

The previous prime is 413415014017. The next prime is 413415014039. The reversal of 413415014022 is 220410514314.

413415014022 is a `hidden beast` number, since 4 + 134 + 1 + 501 + 4 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3392179 + ... + 3511937.

It is an arithmetic number, because the mean of its divisors is an integer number (19355132160).

Almost surely, 2413415014022 is an apocalyptic number.

413415014022 is an abundant number, since it is smaller than the sum of its proper divisors (515631329658).

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

413415014022 is a wasteful number, since it uses less digits than its factorization.

413415014022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126879 (or 126867 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 413415014022 its reverse (220410514314), we get a palindrome (633825528336).

The spelling of 413415014022 in words is "four hundred thirteen billion, four hundred fifteen million, fourteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 7103 14206 21309 42618 63927 119759 127854 191781 239518 359277 383562 575343 718554 1077831 1150686 1726029 2155662 3233493 3452058 6466986 9700479 19400958 29101437 58202874 850648177 1701296354 2551944531 5103889062 7655833593 15311667186 22967500779 45935001558 68902502337 137805004674 206707507011 413415014022