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514135531415 = 511191130337561
BaseRepresentation
bin1110111101101001101…
…11011001111110010111
31211011001222201002222002
413132310313121332113
531410422144001130
61032105100425515
752100520624242
oct7366467317627
91734058632862
10514135531415
11189053116470
1283786b4829b
133963786104c
141ac546da259
15d591ad8b45
hex77b4dd9f97

514135531415 has 32 divisors (see below), whose sum is σ = 677111242752. Its totient is φ = 371663712000.

The previous prime is 514135531397. The next prime is 514135531421.

514135531415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 514135531415 - 212 = 514135527319 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13669235 + ... + 13706795.

It is an arithmetic number, because the mean of its divisors is an integer number (21159726336).

Almost surely, 2514135531415 is an apocalyptic number.

514135531415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

514135531415 is a deficient number, since it is larger than the sum of its proper divisors (162975711337).

514135531415 is a wasteful number, since it uses less digits than its factorization.

514135531415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39071.

The product of its digits is 90000, while the sum is 38.

The spelling of 514135531415 in words is "five hundred fourteen billion, one hundred thirty-five million, five hundred thirty-one thousand, four hundred fifteen".

Divisors: 1 5 11 55 191 955 1303 2101 6515 10505 14333 37561 71665 187805 248873 413171 1244365 2065855 2737603 7174151 13688015 35870755 48941983 78915661 244709915 394578305 538361813 2691809065 9347918753 46739593765 102827106283 514135531415