Search a number
-
+
157140444041751 = 3152334392743279
BaseRepresentation
bin100011101110101100011100…
…010110001101001000010111
3202121101110221201200022022210
4203232230130112031020113
5131044042112133314001
61314113153504524503
745046010456525352
oct4356543426151027
9677343851608283
10157140444041751
11460849850228a5
121575aa54920733
13698b384a48211
142ab38d0c2b299
1513278b4812dd6
hex8eeb1c58d217

157140444041751 has 8 divisors (see below), whose sum is σ = 209658163034880. Its totient is φ = 104691510538232.

The previous prime is 157140444041743. The next prime is 157140444041813.

157140444041751 is nontrivially palindromic in base 10.

157140444041751 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 157140444041751 - 23 = 157140444041743 is a prime.

It is a super-2 number, since 2×1571404440417512 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157140444041751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157140444041051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17196367071 + ... + 17196376208.

It is an arithmetic number, because the mean of its divisors is an integer number (26207270379360).

Almost surely, 2157140444041751 is an apocalyptic number.

157140444041751 is a deficient number, since it is larger than the sum of its proper divisors (52517718993129).

157140444041751 is a wasteful number, since it uses less digits than its factorization.

157140444041751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34392744805.

The product of its (nonzero) digits is 1254400, while the sum is 48.

The spelling of 157140444041751 in words is "one hundred fifty-seven trillion, one hundred forty billion, four hundred forty-four million, forty-one thousand, seven hundred fifty-one".

Divisors: 1 3 1523 4569 34392743279 103178229837 52380148013917 157140444041751