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114025550445342 = 232291799539127931
BaseRepresentation
bin11001111011010010100100…
…011011011111101100011110
3112221201201212122220120220200
4121323102210123133230132
5104421143311403222332
61042302340440324330
733006034302652164
oct3173224433375436
9487651778816820
10114025550445342
1133371a6764a598
1210956aba1736a6
134b8174266b4b3
142022c1a791234
15d2b0ed87017c
hex67b4a46dfb1e

114025550445342 has 96 divisors (see below), whose sum is σ = 257031251568000. Its totient is φ = 36488751351360.

The previous prime is 114025550445277. The next prime is 114025550445421. The reversal of 114025550445342 is 243544055520411.

114025550445342 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 5 + 550 + 4 + 4 + 53 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891241117 + ... + 891369047.

It is an arithmetic number, because the mean of its divisors is an integer number (2677408870500).

Almost surely, 2114025550445342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114025550445342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128515625784000).

114025550445342 is an abundant number, since it is smaller than the sum of its proper divisors (143005701122658).

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

114025550445342 is a wasteful number, since it uses less digits than its factorization.

114025550445342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137686 (or 137683 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 114025550445342 in words is "one hundred fourteen trillion, twenty-five billion, five hundred fifty million, four hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 179 261 358 522 537 1074 1611 3222 5191 9539 10382 15573 19078 28617 31146 46719 57234 85851 93438 127931 171702 255862 276631 383793 553262 767586 829893 1151379 1659786 1707481 2302758 2489679 3414962 3709999 4979358 5122443 7419998 10244886 11129997 15367329 22259994 22899649 30734658 33389991 45799298 49516949 66779982 68698947 99033898 137397894 148550847 206096841 297101694 412193682 445652541 664089821 891305082 1220333809 1328179642 1992269463 2440667618 3661001427 3984538926 5976808389 7322002854 10983004281 11953616778 21966008562 35389680461 70779360922 106169041383 212338082766 218439751811 318507124149 436879503622 637014248298 655319255433 1310638510866 1965957766299 3931915532598 6334752802519 12669505605038 19004258407557 38008516815114 57012775222671 114025550445342