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414104233404 = 223199233744251
BaseRepresentation
bin1100000011010101000…
…10010010010110111100
31110120212122011122220210
412001222202102112330
523241041140432104
6514123054512420
741626613623011
oct6015242222674
91416778148823
10414104233404
1114a691053744
126830a805710
1330085713894
141608544d708
15ab89c6a989
hex606a8925bc

414104233404 has 48 divisors (see below), whose sum is σ = 975267820800. Its totient is φ = 136751472000.

The previous prime is 414104233379. The next prime is 414104233441. The reversal of 414104233404 is 404332401414.

It is a super-2 number, since 2×4141042334042 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 184279 + ... + 928529.

It is an arithmetic number, because the mean of its divisors is an integer number (20318079600).

Almost surely, 2414104233404 is an apocalyptic number.

It is an amenable number.

414104233404 is an abundant number, since it is smaller than the sum of its proper divisors (561163587396).

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

414104233404 is a wasteful number, since it uses less digits than its factorization.

414104233404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744690 (or 744688 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414104233404 its reverse (404332401414), we get a palindrome (818436634818).

The spelling of 414104233404 in words is "four hundred fourteen billion, one hundred four million, two hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 199 233 398 466 597 699 796 932 1194 1398 2388 2796 46367 92734 139101 185468 278202 556404 744251 1488502 2232753 2977004 4465506 8931012 148105949 173410483 296211898 346820966 444317847 520231449 592423796 693641932 888635694 1040462898 1777271388 2080925796 34508686117 69017372234 103526058351 138034744468 207052116702 414104233404