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144580828854 = 23711832937573
BaseRepresentation
bin1000011010100110110…
…0000101111010110110
3111211012002100002121010
42012221230011322312
54332100143010404
6150230340533050
713305563524320
oct2065154057266
9454162302533
10144580828854
1156353121710
122402b9b1186
1310831929207
146dd7b78610
153b62e79189
hex21a9b05eb6

144580828854 has 64 divisors (see below), whose sum is σ = 360566115840. Its totient is φ = 37547953920.

The previous prime is 144580828849. The next prime is 144580828891. The reversal of 144580828854 is 458828085441.

144580828854 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144580828794 and 144580828803.

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 31 ways as a sum of consecutive naturals, for example, 3829212 + ... + 3866784.

It is an arithmetic number, because the mean of its divisors is an integer number (5633845560).

Almost surely, 2144580828854 is an apocalyptic number.

144580828854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144580828854 is an abundant number, since it is smaller than the sum of its proper divisors (215985286986).

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

144580828854 is a wasteful number, since it uses less digits than its factorization.

144580828854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45925.

The product of its (nonzero) digits is 13107200, while the sum is 57.

The spelling of 144580828854 in words is "one hundred forty-four billion, five hundred eighty million, eight hundred twenty-eight thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 8329 16658 24987 37573 49974 58303 75146 91619 112719 116606 174909 183238 225438 263011 274857 349818 413303 526022 549714 641333 789033 826606 1239909 1282666 1578066 1923999 2479818 2893121 3847998 5786242 8679363 17358726 312945517 625891034 938836551 1877673102 2190618619 3442400687 4381237238 6571855857 6884801374 10327202061 13143711714 20654404122 24096804809 48193609618 72290414427 144580828854