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144412304112 = 2434167667241
BaseRepresentation
bin1000011001111110100…
…1001110001011110000
3111210202100020011010000
42012133221032023300
54331224022212422
6150201520510000
713301446221456
oct2063751161360
9453670204100
10144412304112
1156276a8756a
1223ba347b300
1310805a4252b
146dbd62a9d6
153b5328acac
hex219fa4e2f0

144412304112 has 100 divisors (see below), whose sum is σ = 420474556656. Its totient is φ = 47849114880.

The previous prime is 144412304107. The next prime is 144412304147. The reversal of 144412304112 is 211403214441.

144412304112 is a `hidden beast` number, since 14 + 4 + 4 + 1 + 230 + 411 + 2 = 666.

144412304112 is digitally balanced in base 2, 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 (27).

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 19 ways as a sum of consecutive naturals, for example, 117189 + ... + 550052.

Almost surely, 2144412304112 is an apocalyptic number.

144412304112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144412304112 is an abundant number, since it is smaller than the sum of its proper divisors (276062252544).

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

144412304112 is a wasteful number, since it uses less digits than its factorization.

144412304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667428 (or 667413 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144412304112 its reverse (211403214441), we get a palindrome (355815518553).

The spelling of 144412304112 in words is "one hundred forty-four billion, four hundred twelve million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 167 216 324 334 432 501 648 668 1002 1296 1336 1503 2004 2672 3006 4008 4509 6012 8016 9018 12024 13527 18036 24048 27054 36072 54108 72144 108216 216432 667241 1334482 2001723 2668964 4003446 5337928 6005169 8006892 10675856 12010338 16013784 18015507 24020676 32027568 36031014 48041352 54046521 72062028 96082704 108093042 111429247 144124056 216186084 222858494 288248112 334287741 432372168 445716988 668575482 864744336 891433976 1002863223 1337150964 1782867952 2005726446 2674301928 3008589669 4011452892 5348603856 6017179338 8022905784 9025769007 12034358676 16045811568 18051538014 24068717352 36103076028 48137434704 72206152056 144412304112