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114250551534 = 232759127121013
BaseRepresentation
bin110101001100111011…
…1010001000011101110
3101220220022120100220200
41222121313101003232
53332441120122114
6124252545454330
711153143443660
oct1523167210356
9356808510820
10114250551534
11444a9504419
121a1863413a6
13aa09cc5062
14575b918530
152e8a360409
hex1a99dd10ee

114250551534 has 96 divisors (see below), whose sum is σ = 289968906240. Its totient is φ = 31836805056.

The previous prime is 114250551533. The next prime is 114250551559. The reversal of 114250551534 is 435155052411.

114250551534 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 50 + 551 + 53 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114250551533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883612 + ... + 1004624.

It is an arithmetic number, because the mean of its divisors is an integer number (3020509440).

Almost surely, 2114250551534 is an apocalyptic number.

114250551534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114250551534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144984453120).

114250551534 is an abundant number, since it is smaller than the sum of its proper divisors (175718354706).

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

114250551534 is a wasteful number, since it uses less digits than its factorization.

114250551534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121214 (or 121211 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 114250551534 in words is "one hundred fourteen billion, two hundred fifty million, five hundred fifty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 127 177 254 354 381 413 531 762 826 889 1062 1143 1239 1778 2286 2478 2667 3717 5334 7434 7493 8001 14986 16002 22479 44958 52451 67437 104902 121013 134874 157353 242026 314706 363039 472059 726078 847091 944118 1089117 1694182 2178234 2541273 5082546 7139767 7623819 14279534 15247638 15368651 21419301 30737302 42838602 46105953 49978369 64257903 92211906 99956738 107580557 128515806 138317859 149935107 215161114 276635718 299870214 322741671 449805321 645483342 899610642 906750409 968225013 1813500818 1936450026 2720251227 5440502454 6347252863 8160753681 12694505726 16321507362 19041758589 38083517178 57125275767 114250551534