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124355134404 = 223217531970513
BaseRepresentation
bin111001111010000100…
…1001100001111000100
3102212222112010100202200
41303310021030033010
54014134403300104
6133043350034500
711661431126154
oct1636411141704
9385875110680
10124355134404
1148814260056
1220126348a30
13b95a56bc87
146039902764
15337c4cab39
hex1cf424c3c4

124355134404 has 36 divisors (see below), whose sum is σ = 314521621596. Its totient is φ = 41428044288.

The previous prime is 124355134363. The next prime is 124355134417. The reversal of 124355134404 is 404431553421.

124355134404 is a `hidden beast` number, since 1 + 243 + 5 + 5 + 1 + 3 + 4 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4251300804 + 120103833600 = 65202^2 + 346560^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 922149 + ... + 1048364.

It is an arithmetic number, because the mean of its divisors is an integer number (8736711711).

Almost surely, 2124355134404 is an apocalyptic number.

It is an amenable number.

124355134404 is an abundant number, since it is smaller than the sum of its proper divisors (190166487192).

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

124355134404 is a wasteful number, since it uses less digits than its factorization.

124355134404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972276 (or 1972271 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 124355134404 its reverse (404431553421), we get a palindrome (528786687825).

The spelling of 124355134404 in words is "one hundred twenty-four billion, three hundred fifty-five million, one hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 1753 3506 5259 7012 10518 15777 21036 31554 63108 1970513 3941026 5911539 7882052 11823078 17734617 23646156 35469234 70938468 3454309289 6908618578 10362927867 13817237156 20725855734 31088783601 41451711468 62177567202 124355134404