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7142046028338 = 23131572090327901
BaseRepresentation
bin110011111101110001100…
…0111011101001000110010
3221021202212110121212100210
41213323203013131020302
51414003402240401323
623105002144524550
71334665362404544
oct147734307351062
927252773555323
107142046028338
112303a198768a1
12974214920756
133ca65205c380
141a99694a1694
15c5baad76293
hex67ee31dd232

7142046028338 has 64 divisors (see below), whose sum is σ = 15482143901952. Its totient is φ = 2183372755200.

The previous prime is 7142046028331. The next prime is 7142046028343. The reversal of 7142046028338 is 8338206402417.

It is a super-3 number, since 3×71420460283383 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7142046028331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255964188 + ... + 255992088.

It is an arithmetic number, because the mean of its divisors is an integer number (241908498468).

Almost surely, 27142046028338 is an apocalyptic number.

7142046028338 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142046028338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741071950976).

7142046028338 is an abundant number, since it is smaller than the sum of its proper divisors (8340097873614).

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

7142046028338 is a wasteful number, since it uses less digits than its factorization.

7142046028338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48979.

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 7142046028338 in words is "seven trillion, one hundred forty-two billion, forty-six million, twenty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 4082 6123 12246 20903 27901 41806 55802 62709 83703 125418 167406 271739 362713 543478 725426 815217 1088139 1630434 2176278 3281771 4380457 6563542 8760914 9845313 13141371 19690626 26282742 42663023 56945941 85326046 113891882 127989069 170837823 255978138 341675646 583214603 1166429206 1749643809 3499287618 7581789839 15163579678 22745369517 45490739034 91564692671 183129385342 274694078013 549388156026 1190341004723 2380682009446 3571023014169 7142046028338