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404903049012 = 2232711146068921
BaseRepresentation
bin1011110010001100001…
…10100011011100110100
31102201010101112001210200
411321012012203130310
523113220140032022
6510002045320500
741152606062360
oct5710606433464
91381111461720
10404903049012
1114679a240720
1266581266130
132c24a383187
14158514282a0
15a7ec09dbac
hex5e461a3734

404903049012 has 72 divisors (see below), whose sum is σ = 1276058102592. Its totient is φ = 105169622400.

The previous prime is 404903049007. The next prime is 404903049041. The reversal of 404903049012 is 210940309404.

404903049012 is a `hidden beast` number, since 40 + 4 + 90 + 30 + 490 + 12 = 666.

It is a super-2 number, since 2×4049030490122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73031689 + ... + 73037232.

Almost surely, 2404903049012 is an apocalyptic number.

404903049012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

404903049012 is an abundant number, since it is smaller than the sum of its proper divisors (871155053580).

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

404903049012 is a wasteful number, since it uses less digits than its factorization.

404903049012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146068949 (or 146068944 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 404903049012 in words is "four hundred four billion, nine hundred three million, forty-nine thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 146068921 292137842 438206763 584275684 876413526 1022482447 1314620289 1606758131 1752827052 2044964894 2629240578 3067447341 3213516262 4089929788 4820274393 5258481156 6134894682 6427032524 9202342023 9640548786 11247306917 12269789364 14460823179 18404684046 19281097572 22494613834 28921646358 33741920751 36809368092 44989227668 57843292716 67483841502 101225762253 134967683004 202451524506 404903049012