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13304413404 = 2233295380149
BaseRepresentation
bin11000110010000000…
…10011110011011100
31021100012121020011000
430121000103303130
5204221412212104
610040103430300
7650460435162
oct143100236334
937305536130
1013304413404
115707aa3787
1226b3755390
131340486589
14902d6b232
1552d033639
hex319013cdc

13304413404 has 96 divisors (see below), whose sum is σ = 36356040000. Its totient is φ = 4201037568.

The previous prime is 13304413391. The next prime is 13304413429. The reversal of 13304413404 is 40431440331.

13304413404 is a `hidden beast` number, since 13 + 304 + 4 + 1 + 340 + 4 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125922 + ... + 206070.

It is an arithmetic number, because the mean of its divisors is an integer number (378708750).

Almost surely, 213304413404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13304413404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178020000).

13304413404 is an abundant number, since it is smaller than the sum of its proper divisors (23051626596).

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

13304413404 is a wasteful number, since it uses less digits than its factorization.

13304413404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80244 (or 80236 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13304413404 its reverse (40431440331), we get a palindrome (53735853735).

The spelling of 13304413404 in words is "thirteen billion, three hundred four million, four hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 53 54 58 87 106 108 116 159 174 212 261 318 348 477 522 636 783 954 1044 1431 1537 1566 1908 2862 3074 3132 4611 5724 6148 9222 13833 18444 27666 41499 55332 80149 82998 160298 165996 240447 320596 480894 721341 961788 1442682 2164023 2324321 2885364 4247897 4328046 4648642 6972963 8495794 8656092 9297284 12743691 13945926 16991588 20918889 25487382 27891852 38231073 41837778 50974764 62756667 76462146 83675556 114693219 123189013 125513334 152924292 229386438 246378026 251026668 369567039 458772876 492756052 739134078 1108701117 1478268156 2217402234 3326103351 4434804468 6652206702 13304413404