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312514002045 = 3257992107943
BaseRepresentation
bin1001000110000110100…
…10010011110001111101
31002212122122020012100100
410203003102103301331
520110012041031140
6355322243351313
731402250121330
oct4430322236175
91085578205310
10312514002045
1111059a009253
1250698382539
132361560b84b
14111a911c617
1581e1111530
hex48c3493c7d

312514002045 has 24 divisors (see below), whose sum is σ = 619075357056. Its totient is φ = 142863543648.

The previous prime is 312514002037. The next prime is 312514002077. The reversal of 312514002045 is 540200415213.

312514002045 is a `hidden beast` number, since 3 + 1 + 2 + 51 + 400 + 204 + 5 = 666.

It is not a de Polignac number, because 312514002045 - 23 = 312514002037 is a prime.

It is a congruent number.

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, 496053657 + ... + 496054286.

It is an arithmetic number, because the mean of its divisors is an integer number (25794806544).

Almost surely, 2312514002045 is an apocalyptic number.

312514002045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

312514002045 is a deficient number, since it is larger than the sum of its proper divisors (306561355011).

312514002045 is a wasteful number, since it uses less digits than its factorization.

312514002045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992107961 (or 992107958 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 312514002045 its reverse (540200415213), we get a palindrome (852714417258).

The spelling of 312514002045 in words is "three hundred twelve billion, five hundred fourteen million, two thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 992107943 2976323829 4960539715 6944755601 8928971487 14881619145 20834266803 34723778005 44644857435 62502800409 104171334015 312514002045