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144396405864 = 23335312613243
BaseRepresentation
bin1000011001111010110…
…0100100110001101000
3111210201020022102211000
42012132230210301220
54331210434441424
6150200152035000
713301164125054
oct2063654446150
9453636272730
10144396405864
1156269008a17
1223b9a092a60
1310802667099
146dbb48cc64
153b51b9a3c9
hex219eb24c68

144396405864 has 64 divisors (see below), whose sum is σ = 408669105600. Its totient is φ = 47223978048.

The previous prime is 144396405863. The next prime is 144396405883. The reversal of 144396405864 is 468504693441.

144396405864 is a `hidden beast` number, since 1 + 443 + 96 + 4 + 0 + 58 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144396405864.

It is not an unprimeable number, because it can be changed into a prime (144396405863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6295174 + ... + 6318069.

It is an arithmetic number, because the mean of its divisors is an integer number (6385454775).

Almost surely, 2144396405864 is an apocalyptic number.

It is an amenable number.

144396405864 is an abundant number, since it is smaller than the sum of its proper divisors (264272699736).

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

144396405864 is a wasteful number, since it uses less digits than its factorization.

144396405864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613311 (or 12613301 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 144396405864 in words is "one hundred forty-four billion, three hundred ninety-six million, four hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 11448 12613243 25226486 37839729 50452972 75679458 100905944 113519187 151358916 227038374 302717832 340557561 454076748 668501879 681115122 908153496 1337003758 1362230244 2005505637 2674007516 2724460488 4011011274 5348015032 6016516911 8022022548 12033033822 16044045096 18049550733 24066067644 36099101466 48132135288 72198202932 144396405864