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114135356151 = 3447144720719
BaseRepresentation
bin110101001001011111…
…1110101001011110111
3101220121021210211120000
41222102333311023313
53332222122344101
6124233312442343
711150244343245
oct1522277651367
9356537724500
10114135356151
114444a484423
121a1538493b3
13a9bc190ccb
14574a4cd795
152e801a8486
hex1a92ff52f7

114135356151 has 40 divisors (see below), whose sum is σ = 174254868480. Its totient is φ = 74416238352.

The previous prime is 114135356149. The next prime is 114135356219. The reversal of 114135356151 is 151653531411.

114135356151 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 5 + 35 + 615 + 1 = 666.

It is not a de Polignac number, because 114135356151 - 21 = 114135356149 is a prime.

It is a super-2 number, since 2×1141353561512 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114135356141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5498370 + ... + 5519088.

It is an arithmetic number, because the mean of its divisors is an integer number (4356371712).

Almost surely, 2114135356151 is an apocalyptic number.

114135356151 is a deficient number, since it is larger than the sum of its proper divisors (60119512329).

114135356151 is a wasteful number, since it uses less digits than its factorization.

114135356151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22225 (or 22216 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

Adding to 114135356151 its reverse (151653531411), we get a palindrome (265788887562).

The spelling of 114135356151 in words is "one hundred fourteen billion, one hundred thirty-five million, three hundred fifty-six thousand, one hundred fifty-one".

Divisors: 1 3 9 27 47 81 141 423 1269 1447 3807 4341 13023 20719 39069 62157 68009 117207 186471 204027 559413 612081 973793 1678239 1836243 2921379 5508729 8764137 26292411 29980393 78877233 89941179 269823537 809470611 1409078471 2428411833 4227235413 12681706239 38045118717 114135356151