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414013232204 = 2211131938094703
BaseRepresentation
bin1100000011001010001…
…11001001010001001100
31110120122021221022201222
412001211013021101030
523240344341412304
6514110044222512
741624430260255
oct6014507112114
91416567838658
10414013232204
1114a644749140
12682a423aa38
133006c901010
1416077321b2c
15ab81c924be
hex60651c944c

414013232204 has 48 divisors (see below), whose sum is σ = 895987438080. Its totient is φ = 164569112640.

The previous prime is 414013232201. The next prime is 414013232251. The reversal of 414013232204 is 402232310414.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (414013232201) 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, 19036484 + ... + 19058219.

It is an arithmetic number, because the mean of its divisors is an integer number (18666404960).

Almost surely, 2414013232204 is an apocalyptic number.

414013232204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414013232204 is an abundant number, since it is smaller than the sum of its proper divisors (481974205876).

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

414013232204 is a wasteful number, since it uses less digits than its factorization.

414013232204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38094750 (or 38094748 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 414013232204 its reverse (402232310414), we get a palindrome (816245542618).

The spelling of 414013232204 in words is "four hundred fourteen billion, thirteen million, two hundred thirty-two thousand, two hundred four".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 143 209 247 286 418 494 572 836 988 2717 5434 10868 38094703 76189406 152378812 419041733 495231139 723799357 838083466 990462278 1447598714 1676166932 1980924556 2895197428 5447542529 7961792927 9409391641 10895085058 15923585854 18818783282 21790170116 31847171708 37637566564 103503308051 207006616102 414013232204