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124112142144 = 2632673216007
BaseRepresentation
bin111001110010110101…
…0001111111101000000
3102212100120220002001100
41303211222033331000
54013140202022034
6133003305534400
711652420542004
oct1634552177500
9385316802040
10124112142144
11486aa083401
1220078aa4400
13b91c111183
14601552c704
153365ecd099
hex1ce5a8ff40

124112142144 has 84 divisors (see below), whose sum is σ = 361054786144. Its totient is φ = 40753228032.

The previous prime is 124112142127. The next prime is 124112142157. The reversal of 124112142144 is 441241211421.

124112142144 is a `hidden beast` number, since 12 + 411 + 21 + 4 + 214 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1569412 + ... + 1646595.

Almost surely, 2124112142144 is an apocalyptic number.

It is an amenable number.

124112142144 is an abundant number, since it is smaller than the sum of its proper divisors (236942644000).

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

124112142144 is a wasteful number, since it uses less digits than its factorization.

124112142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216092 (or 3216079 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 124112142144 its reverse (441241211421), we get a palindrome (565353353565).

It can be divided in two parts, 124112 and 142144, that added together give a square (266256 = 5162).

The spelling of 124112142144 in words is "one hundred twenty-four billion, one hundred twelve million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 2144 2412 3216 4288 4824 6432 9648 12864 19296 38592 3216007 6432014 9648021 12864028 19296042 25728056 28944063 38592084 51456112 57888126 77184168 102912224 115776252 154368336 205824448 215472469 231552504 308736672 430944938 463105008 617473344 646417407 861889876 926210016 1292834814 1723779752 1852420032 1939252221 2585669628 3447559504 3878504442 5171339256 6895119008 7757008884 10342678512 13790238016 15514017768 20685357024 31028035536 41370714048 62056071072 124112142144