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124147272144 = 24371278128909
BaseRepresentation
bin111001110011111000…
…0010000100111010000
3102212110000222212100110
41303213300100213100
54013223200202034
6133011002521320
711653325254560
oct1634760204720
9385400885313
10124147272144
1148717998065
1220088806240
13b92649115c
14601a074da0
15336911bde9
hex1ce7c109d0

124147272144 has 80 divisors (see below), whose sum is σ = 366571399040. Its totient is φ = 35466647040.

The previous prime is 124147272089. The next prime is 124147272169. The reversal of 124147272144 is 441272741421.

124147272144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4279962 + ... + 4308870.

It is an arithmetic number, because the mean of its divisors is an integer number (4582142488).

Almost surely, 2124147272144 is an apocalyptic number.

124147272144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

124147272144 is an abundant number, since it is smaller than the sum of its proper divisors (242424126896).

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

124147272144 is a wasteful number, since it uses less digits than its factorization.

124147272144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41708 (or 41702 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The spelling of 124147272144 in words is "one hundred twenty-four billion, one hundred forty-seven million, two hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 12781 25562 28909 38343 51124 57818 76686 86727 89467 102248 115636 153372 173454 178934 202363 204496 231272 268401 306744 346908 357868 404726 462544 536802 607089 613488 693816 715736 809452 1073604 1214178 1387632 1431472 1618904 2147208 2428356 3237808 4294416 4856712 9713424 369485929 738971858 1108457787 1477943716 2216915574 2586401503 2955887432 4433831148 5172803006 5911774864 7759204509 8867662296 10345606012 15518409018 17735324592 20691212024 31036818036 41382424048 62073636072 124147272144