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144544056012 = 22332275895907
BaseRepresentation
bin1000011010011101111…
…1110100001011001100
3111211002112010211202000
42012213133310023030
54332011234243022
6150222544432300
713304636130006
oct2064737641314
9454075124660
10144544056012
1156334395734
122401b618690
1310827122535
146dd2d25376
153b5eb136ac
hex21a77f42cc

144544056012 has 48 divisors (see below), whose sum is σ = 376394766720. Its totient is φ = 47969091216.

The previous prime is 144544056001. The next prime is 144544056067. The reversal of 144544056012 is 210650445441.

144544056012 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 4 + 40 + 5 + 601 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2923438 + ... + 2972469.

It is an arithmetic number, because the mean of its divisors is an integer number (7841557640).

Almost surely, 2144544056012 is an apocalyptic number.

144544056012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144544056012 is an abundant number, since it is smaller than the sum of its proper divisors (231850710708).

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

144544056012 is a wasteful number, since it uses less digits than its factorization.

144544056012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896147 (or 5896139 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 144544056012 in words is "one hundred forty-four billion, five hundred forty-four million, fifty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 454 681 908 1362 2043 2724 4086 6129 8172 12258 24516 5895907 11791814 17687721 23583628 35375442 53063163 70750884 106126326 159189489 212252652 318378978 636757956 1338370889 2676741778 4015112667 5353483556 8030225334 12045338001 16060450668 24090676002 36136014003 48181352004 72272028006 144544056012