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313142214006 = 23347123381487
BaseRepresentation
bin1001000111010001011…
…10101111110101110110
31002221021102022200011000
410203220232233311312
520112303401322011
6355504444224130
731423645621146
oct4435056576566
91087242280130
10313142214006
11110891686196
125083283b046
13236b58045bb
141122872a926
15822b353356
hex48e8bafd76

313142214006 has 32 divisors (see below), whose sum is σ = 710677370880. Its totient is φ = 102159870408.

The previous prime is 313142213999. The next prime is 313142214023. The reversal of 313142214006 is 600412241313.

It is a happy number.

313142214006 is a `hidden beast` number, since 3 + 1 + 31 + 4 + 221 + 400 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61688206 + ... + 61693281.

It is an arithmetic number, because the mean of its divisors is an integer number (22208667840).

Almost surely, 2313142214006 is an apocalyptic number.

313142214006 is an abundant number, since it is smaller than the sum of its proper divisors (397535156874).

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

313142214006 is a wasteful number, since it uses less digits than its factorization.

313142214006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123381545 (or 123381539 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 313142214006 its reverse (600412241313), we get a palindrome (913554455319).

The spelling of 313142214006 in words is "three hundred thirteen billion, one hundred forty-two million, two hundred fourteen thousand, six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 123381487 246762974 370144461 740288922 1110433383 2220866766 3331300149 5798929889 6662600298 11597859778 17396789667 34793579334 52190369001 104380738002 156571107003 313142214006