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144109866420 = 223351320528471
BaseRepresentation
bin1000011000110110011…
…1100000110110110100
3111202222021010201121000
42012031213200312310
54330114111211140
6150111514323300
713261114440102
oct2061547406664
9452867121530
10144109866420
1156131298663
1223b1a129530
13107881a0010
146d913c0c72
153b36949a30
hex218d9e0db4

144109866420 has 96 divisors (see below), whose sum is σ = 482829661440. Its totient is φ = 35473196160.

The previous prime is 144109866413. The next prime is 144109866421. The reversal of 144109866420 is 24668901441.

144109866420 is a `hidden beast` number, since 1 + 44 + 109 + 86 + 6 + 420 = 666.

144109866420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144109866421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10257216 + ... + 10271255.

It is an arithmetic number, because the mean of its divisors is an integer number (5029475640).

Almost surely, 2144109866420 is an apocalyptic number.

144109866420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144109866420 is an abundant number, since it is smaller than the sum of its proper divisors (338719795020).

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

144109866420 is a wasteful number, since it uses less digits than its factorization.

144109866420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20528502 (or 20528494 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 144109866420 in words is "one hundred forty-four billion, one hundred nine million, eight hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 20528471 41056942 61585413 82113884 102642355 123170826 184756239 205284710 246341652 266870123 307927065 369512478 410569420 533740246 554268717 615854130 739024956 800610369 923781195 1067480492 1108537434 1231708260 1334350615 1601220738 1847562390 2217074868 2401831107 2668701230 2771343585 3202441476 3695124780 4003051845 4803662214 5337402460 5542687170 7205493321 8006103690 9607324428 11085374340 12009155535 14410986642 16012207380 24018311070 28821973284 36027466605 48036622140 72054933210 144109866420