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114255550125144 = 2334931118936773
BaseRepresentation
bin11001111110101000110001…
…011110101001010001011000
3112222112201112201212220120000
4121332220301132221101120
5104433430331313001034
61043000135231533000
733031456020662421
oct3176506136512130
9488481481786500
10114255550125144
113345056345619a
12109935a868a160
134b9a337c6ca9c
14202ddd8c36648
15d320b08a8599
hex67ea317a9458

114255550125144 has 80 divisors (see below), whose sum is σ = 320055719670720. Its totient is φ = 38081091021120.

The previous prime is 114255550125083. The next prime is 114255550125193. The reversal of 114255550125144 is 441521055552411.

114255550125144 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 5 + 550 + 1 + 2 + 51 + 44 = 666.

It is a super-2 number, since 2×1142555501251442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114255550125144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3434859 + ... + 15501914.

It is an arithmetic number, because the mean of its divisors is an integer number (4000696495884).

Almost surely, 2114255550125144 is an apocalyptic number.

It is an amenable number.

114255550125144 is an abundant number, since it is smaller than the sum of its proper divisors (205800169545576).

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

114255550125144 is a wasteful number, since it uses less digits than its factorization.

114255550125144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18946102 (or 18946089 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

The spelling of 114255550125144 in words is "one hundred fourteen trillion, two hundred fifty-five billion, five hundred fifty million, one hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 9311 18622 27933 37244 55866 74488 83799 111732 167598 223464 251397 335196 502794 670392 754191 1005588 1508382 2011176 3016764 6033528 18936773 37873546 56810319 75747092 113620638 151494184 170430957 227241276 340861914 454482552 511292871 681723828 1022585742 1363447656 1533878613 2045171484 3067757226 4090342968 6135514452 12271028904 176320293403 352640586806 528960880209 705281173612 1057921760418 1410562347224 1586882640627 2115843520836 3173765281254 4231687041672 4760647921881 6347530562508 9521295843762 12695061125016 14281943765643 19042591687524 28563887531286 38085183375048 57127775062572 114255550125144