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8142135157 = 131873334393
BaseRepresentation
bin1111001010100111…
…10001111101110101
3210000102212022200101
413211103301331311
5113133341311112
63423534114101
7405525002242
oct74523617565
923012768611
108142135157
1134a9028722
1216b294b931
139c9b1a270
145735065c9
15329c24757
hex1e54f1f75

8142135157 has 8 divisors (see below), whose sum is σ = 8773160984. Its totient is φ = 7511781888.

The previous prime is 8142135139. The next prime is 8142135163. The reversal of 8142135157 is 7515312418.

It can be written as a sum of positive squares in 4 ways, for example, as 19439281 + 8122695876 = 4409^2 + 90126^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-8142135157 is a prime.

It is a super-3 number, since 3×81421351573 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142135187) 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, 142848 + ... + 191545.

It is an arithmetic number, because the mean of its divisors is an integer number (1096645123).

Almost surely, 28142135157 is an apocalyptic number.

It is an amenable number.

8142135157 is a deficient number, since it is larger than the sum of its proper divisors (631025827).

8142135157 is a wasteful number, since it uses less digits than its factorization.

8142135157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336279.

The product of its digits is 33600, while the sum is 37.

The square root of 8142135157 is about 90233.7805757910. The cubic root of 8142135157 is about 2011.7751334769.

The spelling of 8142135157 in words is "eight billion, one hundred forty-two million, one hundred thirty-five thousand, one hundred fifty-seven".

Divisors: 1 13 1873 24349 334393 4347109 626318089 8142135157