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313422308136 = 233271021609079
BaseRepresentation
bin1001000111110010110…
…11001110001100101000
31002221222221100221001200
410203321123032030220
520113342102330021
6355552331444200
731433616443130
oct4437133161450
91087887327050
10313422308136
11110a157a4043
12508b05b6660
132372b852a82
14112539dbac0
158245c2e126
hex48f96ce328

313422308136 has 96 divisors (see below), whose sum is σ = 971068425600. Its totient is φ = 89461376640.

The previous prime is 313422308117. The next prime is 313422308159. The reversal of 313422308136 is 631803224313.

313422308136 is a `hidden beast` number, since 3 + 1 + 342 + 2 + 308 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 313422308136.

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, 210045 + ... + 819123.

It is an arithmetic number, because the mean of its divisors is an integer number (10115296100).

Almost surely, 2313422308136 is an apocalyptic number.

313422308136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313422308136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485534212800).

313422308136 is an abundant number, since it is smaller than the sum of its proper divisors (657646117464).

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

313422308136 is a wasteful number, since it uses less digits than its factorization.

313422308136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610119 (or 610112 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 313422308136 in words is "three hundred thirteen billion, four hundred twenty-two million, three hundred eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1021 2042 3063 4084 6126 7147 8168 9189 12252 14294 18378 21441 24504 28588 36756 42882 57176 64323 73512 85764 128646 171528 257292 514584 609079 1218158 1827237 2436316 3654474 4263553 4872632 5481711 7308948 8527106 10963422 12790659 14617896 17054212 21926844 25581318 34108424 38371977 43853688 51162636 76743954 102325272 153487908 306975816 621869659 1243739318 1865608977 2487478636 3731217954 4353087613 4974957272 5596826931 7462435908 8706175226 11193653862 13059262839 14924871816 17412350452 22387307724 26118525678 34824700904 39177788517 44774615448 52237051356 78355577034 104474102712 156711154068 313422308136