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144131236321320 = 233252563691561673
BaseRepresentation
bin100000110001011000101011…
…001001000101100000101000
3200220022210220200020010011200
4200301120223021011200220
5122342421232444240240
61230312550442524200
742234065253441663
oct4061305311054050
9626283820203150
10144131236321320
1141a197944564a6
12141b9723506660
136256695581421
142783dbbd9c6da
15119e2b6b1c930
hex83162b245828

144131236321320 has 96 divisors (see below), whose sum is σ = 468428645154600. Its totient is φ = 38434821820416.

The previous prime is 144131236321309. The next prime is 144131236321357. The reversal of 144131236321320 is 23123632131441.

144131236321320 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 3 + 1 + 2 + 3 + 6 + 321 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104195383572996 + 39935852748324 = 10207614^2 + 6319482^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 91512004 + ... + 93073676.

Almost surely, 2144131236321320 is an apocalyptic number.

144131236321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144131236321320 is an abundant number, since it is smaller than the sum of its proper divisors (324297408833280).

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

144131236321320 is a wasteful number, since it uses less digits than its factorization.

144131236321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818059 (or 1818052 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 144131236321320 its reverse (23123632131441), we get a palindrome (167254868452761).

The spelling of 144131236321320 in words is "one hundred forty-four trillion, one hundred thirty-one billion, two hundred thirty-six million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 256369 512738 769107 1025476 1281845 1538214 1561673 2050952 2307321 2563690 3076428 3123346 3845535 4614642 4685019 5127380 6152856 6246692 7691070 7808365 9229284 9370038 10254760 11536605 12493384 14055057 15382140 15616730 18458568 18740076 23073210 23425095 28110114 30764280 31233460 37480152 46146420 46850190 56220228 62466920 70275285 92292840 93700380 112440456 140550570 187400760 281101140 562202280 400364545337 800729090674 1201093636011 1601458181348 2001822726685 2402187272022 3202916362696 3603280908033 4003645453370 4804374544044 6005468180055 7206561816066 8007290906740 9608749088088 12010936360110 14413123632132 16014581813480 18016404540165 24021872720220 28826247264264 36032809080330 48043745440440 72065618160660 144131236321320