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413323010304 = 2831075029729
BaseRepresentation
bin1100000001110111111…
…10001010000100000000
31110111212012011102021220
412000323332022010000
523232441142312204
6513513350315040
741601346422441
oct6007376120400
91414765142256
10413323010304
1114a320078216
1268131058a80
132cc8c9064a9
141600d7b12c8
15ab413a21d9
hex603bf8a100

413323010304 has 72 divisors (see below), whose sum is σ = 1110322956960. Its totient is φ = 136486699008.

The previous prime is 413323010237. The next prime is 413323010339. The reversal of 413323010304 is 403010323314.

It is a super-3 number, since 3×4133230103043 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2432689 + ... + 2597040.

It is an arithmetic number, because the mean of its divisors is an integer number (15421152180).

Almost surely, 2413323010304 is an apocalyptic number.

It is an amenable number.

413323010304 is an abundant number, since it is smaller than the sum of its proper divisors (696999946656).

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

413323010304 is a wasteful number, since it uses less digits than its factorization.

413323010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029855 (or 5029841 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 413323010304 its reverse (403010323314), we get a palindrome (816333333618).

It can be divided in two parts, 413323010 and 304, that added together give a palindrome (413323314).

The spelling of 413323010304 in words is "four hundred thirteen billion, three hundred twenty-three million, ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 642 768 856 1284 1712 2568 3424 5136 6848 10272 13696 20544 27392 41088 82176 5029729 10059458 15089187 20118916 30178374 40237832 60356748 80475664 120713496 160951328 241426992 321902656 482853984 538181003 643805312 965707968 1076362006 1287610624 1614543009 1931415936 2152724012 3229086018 3862831872 4305448024 6458172036 8610896048 12916344072 17221792096 25832688144 34443584192 51665376288 68887168384 103330752576 137774336768 206661505152 413323010304