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404146019997 = 34311934791741
BaseRepresentation
bin1011110000110001111…
…10101101111010011101
31102122011122001000020000
411320120332231322131
523110142340114442
6505355003444513
741125054326606
oct5703076557235
91378148030200
10404146019997
1114644098a605
12663ab826739
132c159597205
14157bca86dad
15a7a58b3d4c
hex5e18fade9d

404146019997 has 80 divisors (see below), whose sum is σ = 628096634880. Its totient is φ = 258698188800.

The previous prime is 404146019971. The next prime is 404146020119. The reversal of 404146019997 is 799910641404.

404146019997 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 460 + 1 + 99 + 97 = 666.

It is not a de Polignac number, because 404146019997 - 215 = 404145987229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404146019297) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 232133547 + ... + 232135287.

It is an arithmetic number, because the mean of its divisors is an integer number (7851207936).

Almost surely, 2404146019997 is an apocalyptic number.

It is an amenable number.

404146019997 is a deficient number, since it is larger than the sum of its proper divisors (223950614883).

404146019997 is a wasteful number, since it uses less digits than its factorization.

404146019997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 404146019997 in words is "four hundred four billion, one hundred forty-six million, nineteen thousand, nine hundred ninety-seven".

Divisors: 1 3 9 27 31 81 93 193 279 479 579 837 1437 1737 1741 2511 4311 5211 5223 5983 12933 14849 15633 15669 17949 38799 44547 47007 53847 53971 92447 133641 141021 161541 161913 277341 336013 400923 484623 485739 832023 833939 1008039 1202769 1457217 2496069 2501817 2865857 3024117 4371651 7488207 7505451 8597571 9072351 10416403 22516353 25792713 25852109 27217053 31249209 67549059 77378139 77556327 93747627 160950227 232134417 232668981 281242881 482850681 698006943 843728643 1448552043 2094020829 4345656129 4989457037 13036968387 14968371111 44905113333 134715339999 404146019997