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124433122113144 = 233213132941369779
BaseRepresentation
bin11100010010101111011000…
…000010101011011001111000
3121022120200122020010210022200
4130102233120002223121320
5112302203013230110034
61120351442004550200
735131665523334655
oct3422573002533170
9538520566123280
10124433122113144
1136714877516aa9
1211b57b809b2360
135457cba9c6a50
1422a28494ccc2c
15e5bbcec98a99
hex712bd80ab678

124433122113144 has 48 divisors (see below), whose sum is σ = 362929939499400. Its totient is φ = 38287114496064.

The previous prime is 124433122113137. The next prime is 124433122113193. The reversal of 124433122113144 is 441311221334421.

124433122113144 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 3 + 312 + 21 + 1 + 314 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 124433122113099 and 124433122113108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66470683954 + ... + 66470685825.

Almost surely, 2124433122113144 is an apocalyptic number.

It is an amenable number.

124433122113144 is an abundant number, since it is smaller than the sum of its proper divisors (238496817386256).

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

124433122113144 is a wasteful number, since it uses less digits than its factorization.

124433122113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132941369804 (or 132941369797 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 124433122113144 its reverse (441311221334421), we get a palindrome (565744343447565).

The spelling of 124433122113144 in words is "one hundred twenty-four trillion, four hundred thirty-three billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 132941369779 265882739558 398824109337 531765479116 797648218674 1063530958232 1196472328011 1595296437348 1728237807127 2392944656022 3190592874696 3456475614254 4785889312044 5184713421381 6912951228508 9571778624088 10369426842762 13825902457016 15554140264143 20738853685524 31108280528286 41477707371048 62216561056572 124433122113144