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111412341144 = 233213541220019
BaseRepresentation
bin110011111000010110…
…0010110100110011000
3101122120111222100012100
41213300230112212120
53311133024404034
6123103201043400
711022621163056
oct1476054264630
9348514870170
10111412341144
11432823a89a5
1219713926560
13a676ca9a20
14556c9c91d6
152d710c9099
hex19f0b16998

111412341144 has 96 divisors (see below), whose sum is σ = 325554793200. Its totient is φ = 34217199360.

The previous prime is 111412341137. The next prime is 111412341149. The reversal of 111412341144 is 441143214111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111412341149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396367 + ... + 616385.

Almost surely, 2111412341144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111412341144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162777396600).

111412341144 is an abundant number, since it is smaller than the sum of its proper divisors (214142452056).

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

111412341144 is a wasteful number, since it uses less digits than its factorization.

111412341144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220585 (or 220578 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 111412341144 its reverse (441143214111), we get a palindrome (552555555255).

The spelling of 111412341144 in words is "one hundred eleven billion, four hundred twelve million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 541 936 1082 1623 2164 3246 4328 4869 6492 7033 9738 12984 14066 19476 21099 28132 38952 42198 56264 63297 84396 126594 168792 220019 253188 440038 506376 660057 880076 1320114 1760152 1980171 2640228 2860247 3960342 5280456 5720494 7920684 8580741 11440988 15841368 17161482 22881976 25742223 34322964 51484446 68645928 102968892 119030279 205937784 238060558 357090837 476121116 714181674 952242232 1071272511 1428363348 1547393627 2142545022 2856726696 3094787254 4285090044 4642180881 6189574508 8570180088 9284361762 12379149016 13926542643 18568723524 27853085286 37137447048 55706170572 111412341144