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144429430014 = 23261709185527
BaseRepresentation
bin1000011010000010101…
…0100011010011111110
3111210210112110020102200
42012200222203103332
54331242413230024
6150203331532330
713302044620302
oct2064052432376
9453715406380
10144429430014
1156285714501
1223ba915a0a6
131080945a6bc
146dc1a07d02
153b54a202c9
hex21a0aa34fe

144429430014 has 48 divisors (see below), whose sum is σ = 318510759840. Its totient is φ = 47286866880.

The previous prime is 144429430003. The next prime is 144429430021. The reversal of 144429430014 is 410034924441.

It is a happy number.

144429430014 is a `hidden beast` number, since 14 + 44 + 294 + 300 + 14 = 666.

It is a super-3 number, since 3×1444294300143 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685719 + ... + 871245.

It is an arithmetic number, because the mean of its divisors is an integer number (6635640830).

Almost surely, 2144429430014 is an apocalyptic number.

144429430014 is an abundant number, since it is smaller than the sum of its proper divisors (174081329826).

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

144429430014 is a wasteful number, since it uses less digits than its factorization.

144429430014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186305 (or 186302 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 144429430014 in words is "one hundred forty-four billion, four hundred twenty-nine million, four hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 709 1098 1418 2127 4254 6381 12762 43249 86498 129747 185527 259494 371054 389241 556581 778482 1113162 1669743 3339486 11317147 22634294 33951441 67902882 101854323 131538643 203708646 263077286 394615929 789231858 1183847787 2367695574 8023857223 16047714446 24071571669 48143143338 72214715007 144429430014