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146334331404 = 22341923771009
BaseRepresentation
bin1000100001001000110…
…1001011001000001100
3111222201021212020220000
42020102031023020030
54344143042101104
6151120340324300
713400205202542
oct2102215131014
9458637766800
10146334331404
1157072a08078
122443b0a3690
1310a50cb91a1
1471229c9d92
153c16d9a639
hex221234b20c

146334331404 has 60 divisors (see below), whose sum is σ = 402680909400. Its totient is φ = 46210839552.

The previous prime is 146334331337. The next prime is 146334331427. The reversal of 146334331404 is 404133433641.

146334331404 is a `hidden beast` number, since 1 + 4 + 6 + 334 + 3 + 314 + 0 + 4 = 666.

It is a super-2 number, since 2×1463343314042 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11879349 + ... + 11891660.

It is an arithmetic number, because the mean of its divisors is an integer number (6711348490).

Almost surely, 2146334331404 is an apocalyptic number.

It is an amenable number.

146334331404 is an abundant number, since it is smaller than the sum of its proper divisors (256346577996).

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

146334331404 is a wasteful number, since it uses less digits than its factorization.

146334331404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23771044 (or 23771033 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 146334331404 in words is "one hundred forty-six billion, three hundred thirty-four million, three hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 23771009 47542018 71313027 95084036 142626054 213939081 285252108 427878162 451649171 641817243 855756324 903298342 1283634486 1354947513 1806596684 1925451729 2567268972 2709895026 3850903458 4064842539 5419790052 7701806916 8129685078 12194527617 16259370156 24389055234 36583582851 48778110468 73167165702 146334331404