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315456031420153 = 13412016129356181
BaseRepresentation
bin100011110111001111101010…
…0101100011110111011111001
31112100221022011012212101201221
41013232133110230132323321
5312321412423020421103
63034530300013512041
7123305642351043601
oct10756372454367371
91470838135771657
10315456031420153
11915721738a66a8
122b4695aa7a2621
13107034b744c8c0
1457c8220c6bc01
152670b06a041bd
hex11ee7d4b1eef9

315456031420153 has 16 divisors (see below), whose sum is σ = 348025052792592. Its totient is φ = 284073882624000.

The previous prime is 315456031420151. The next prime is 315456031420199. The reversal of 315456031420153 is 351024130654513.

It can be written as a sum of positive squares in 8 ways, for example, as 73951004673529 + 241505026746624 = 8599477^2 + 15540432^2 .

It is a cyclic number.

It is not a de Polignac number, because 315456031420153 - 21 = 315456031420151 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315456031420151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3932278 + ... + 25423903.

It is an arithmetic number, because the mean of its divisors is an integer number (21751565799537).

Almost surely, 2315456031420153 is an apocalyptic number.

It is an amenable number.

315456031420153 is a deficient number, since it is larger than the sum of its proper divisors (32569021372439).

315456031420153 is a wasteful number, since it uses less digits than its factorization.

315456031420153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29376396.

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 315456031420153 in words is "three hundred fifteen trillion, four hundred fifty-six billion, thirty-one million, four hundred twenty thousand, one hundred fifty-three".

Divisors: 1 13 41 533 20161 262093 826601 10745813 29356181 381630353 1203603421 15646844473 591849965141 7694049546833 24265848570781 315456031420153