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138316304281 = 17213121672
BaseRepresentation
bin1000000011010001001…
…0110100111110011001
3111020000111112021102111
42000310102310332121
54231232433214111
6143312554232321
712664415121301
oct2006422647631
9436014467374
10138316304281
1153728a47681
1222981a256a1
1310073b0393c
1469a1b8c601
1538e7edda21
hex20344b4f99

138316304281 has 27 divisors (see below), whose sum is σ = 148953238207. Its totient is φ = 128412739520.

The previous prime is 138316304237. The next prime is 138316304299. The reversal of 138316304281 is 182403613831.

The square root of 138316304281 is 371909.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 107685704025 + 30630600256 = 328155^2 + 175016^2 .

It is a de Polignac number, because none of the positive numbers 2k-138316304281 is a prime.

It is a super-2 number, since 2×1383163042812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138316304221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 828241260 + ... + 828241426.

Almost surely, 2138316304281 is an apocalyptic number.

138316304281 is the 371909-th square number.

138316304281 is the 185955-th centered octagonal number.

It is an amenable number.

138316304281 is a deficient number, since it is larger than the sum of its proper divisors (10636933926).

138316304281 is an frugal number, since it uses more digits than its factorization.

138316304281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 138316304281 in words is "one hundred thirty-eight billion, three hundred sixteen million, three hundred four thousand, two hundred eighty-one".

Divisors: 1 17 131 167 289 2227 2839 17161 21877 27889 37859 48263 291737 371909 474113 2865887 3653459 4959529 6322453 8059921 48720079 62108803 478603129 828241343 1055849651 8136253193 138316304281