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114529213044 = 223217533530929
BaseRepresentation
bin110101010101001111…
…0010001101001110100
3101221121201220211122100
41222222132101221310
53334023434304134
6124340342302100
711163066151131
oct1525236215164
9357551824570
10114529213044
1144631833994
121a243727930
13aa5296141c
145786935588
152ea4a56999
hex1aaa791a74

114529213044 has 72 divisors (see below), whose sum is σ = 312317820360. Its totient is φ = 35252785152.

The previous prime is 114529212989. The next prime is 114529213087. The reversal of 114529213044 is 440312925411.

114529213044 is a `hidden beast` number, since 114 + 529 + 2 + 13 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8735145444 + 105794067600 = 93462^2 + 325260^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1733029 + ... + 1797900.

It is an arithmetic number, because the mean of its divisors is an integer number (4337747505).

Almost surely, 2114529213044 is an apocalyptic number.

It is an amenable number.

114529213044 is an abundant number, since it is smaller than the sum of its proper divisors (197788607316).

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

114529213044 is a wasteful number, since it uses less digits than its factorization.

114529213044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531009 (or 3531004 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 114529213044 in words is "one hundred fourteen billion, five hundred twenty-nine million, two hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 3604 5406 8109 10812 16218 32436 3530929 7061858 10592787 14123716 21185574 31778361 42371148 60025793 63556722 120051586 127113444 180077379 187139237 240103172 360154758 374278474 540232137 561417711 720309516 748556948 1080464274 1122835422 1684253133 2160928548 2245670844 3181367029 3368506266 6362734058 6737012532 9544101087 12725468116 19088202174 28632303261 38176404348 57264606522 114529213044