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124024142430 = 23251781061531
BaseRepresentation
bin111001110000001101…
…0100011101001011110
3102212010110022020010200
41303200122203221132
54013000140024210
6132550443444330
711650301550036
oct1634032435136
9385113266120
10124024142430
1148664438971
12200535266a6
13b906b0c836
1460079828c6
15335d3e90c0
hex1ce06a3a5e

124024142430 has 48 divisors (see below), whose sum is σ = 341431172784. Its totient is φ = 31127627520.

The previous prime is 124024142423. The next prime is 124024142453. The reversal of 124024142430 is 34241420421.

124024142430 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 2 + 414 + 243 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 124024142394 and 124024142403.

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 23 ways as a sum of consecutive naturals, for example, 40529236 + ... + 40532295.

It is an arithmetic number, because the mean of its divisors is an integer number (7113149433).

Almost surely, 2124024142430 is an apocalyptic number.

124024142430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

124024142430 is an abundant number, since it is smaller than the sum of its proper divisors (217407030354).

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

124024142430 is a wasteful number, since it uses less digits than its factorization.

124024142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81061561 (or 81061558 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 124024142430 its reverse (34241420421), we get a palindrome (158265562851).

The spelling of 124024142430 in words is "one hundred twenty-four billion, twenty-four million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 81061531 162123062 243184593 405307655 486369186 729553779 810615310 1215922965 1378046027 1459107558 2431845930 2756092054 3647768895 4134138081 6890230135 7295537790 8268276162 12402414243 13780460270 20670690405 24804828486 41341380810 62012071215 124024142430