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114235550534053 = 13173173761300151
BaseRepresentation
bin11001111110010110001001…
…011010010000100110100101
3112222110210220221010102020001
4121332112021122100212211
5104433113401414042203
61042543030515141301
733030150302160604
oct3176261132204645
9488423827112201
10114235550534053
1133443030186413
121098b7468a4831
134b9849b6a9310
14202d05ca19a3b
15d317debbd91d
hex67e5896909a5

114235550534053 has 64 divisors (see below), whose sum is σ = 136482965950464. Its totient is φ = 94603438080000.

The previous prime is 114235550534033. The next prime is 114235550534059. The reversal of 114235550534053 is 350435055532411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114235550534053 - 29 = 114235550533541 is a prime.

It is a super-2 number, since 2×1142355505340532 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114235550533994 and 114235550534012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114235550534059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380443528 + ... + 380743678.

It is an arithmetic number, because the mean of its divisors is an integer number (2132546342976).

Almost surely, 2114235550534053 is an apocalyptic number.

114235550534053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114235550534053 is a deficient number, since it is larger than the sum of its proper divisors (22247415416411).

114235550534053 is a wasteful number, since it uses less digits than its factorization.

114235550534053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301046.

The product of its (nonzero) digits is 2700000, while the sum is 46.

The spelling of 114235550534053 in words is "one hundred fourteen trillion, two hundred thirty-five billion, five hundred fifty million, five hundred thirty-four thousand, fifty-three".

Divisors: 1 13 17 31 73 221 403 527 761 949 1241 2263 6851 9893 12937 16133 23591 29419 38471 55553 168181 300151 306683 401047 500123 722189 944401 1722143 3901963 5102567 5213611 9304681 12277213 21911023 22387859 29276431 66333371 120960853 158179577 228414911 284843299 372487391 380593603 679241713 2056334501 2969393843 3883053487 4842336083 7080862241 8830142269 11547109121 16674288503 50479695331 92051209133 120374658097 150112418573 216765750539 283462904551 516902943593 1564870555261 3685017759163 6719738266709 8787350041081 114235550534053