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313445314101520 = 2457275389362347
BaseRepresentation
bin100011101000100111010110…
…0100110101000000100010000
31112002211002010212111100110201
41013101032230212220010100
5312040442000402222040
63030350442303304544
7123010451040611566
oct10721165446500420
91462732125440421
10313445314101520
1190967458342797
122b1a39755ab154
13105b89c6706b93
145758b96c93a36
152638672bc4a9a
hex11d13ac9a8110

313445314101520 has 40 divisors (see below), whose sum is σ = 729762776817984. Its totient is φ = 125205666022272.

The previous prime is 313445314101487. The next prime is 313445314101589. The reversal of 313445314101520 is 25101413544313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 313445314101520.

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 7 ways as a sum of consecutive naturals, for example, 2694623014 + ... + 2694739333.

Almost surely, 2313445314101520 is an apocalyptic number.

It is an amenable number.

313445314101520 is an abundant number, since it is smaller than the sum of its proper divisors (416317462716464).

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

313445314101520 is a wasteful number, since it uses less digits than its factorization.

313445314101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389363087 (or 5389363081 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 313445314101520 its reverse (25101413544313), we get a palindrome (338546727645833).

The spelling of 313445314101520 in words is "three hundred thirteen trillion, four hundred forty-five billion, three hundred fourteen million, one hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 727 1454 2908 3635 5816 7270 11632 14540 29080 58160 5389362347 10778724694 21557449388 26946811735 43114898776 53893623470 86229797552 107787246940 215574493880 431148987760 3918066426269 7836132852538 15672265705076 19590332131345 31344531410152 39180664262690 62689062820304 78361328525380 156722657050760 313445314101520