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124131414343140 = 223256111305228993
BaseRepresentation
bin11100001110010110011000…
…110110110111110111100100
3121021111211212200202001112200
4130032112120312313313210
5112232232114032440030
61120001103504214500
735101125110526111
oct3416263066676744
9537454780661480
10124131414343140
113660892332a936
1211b095bb60a430
13543570812b059
142291dc7641908
15e53e226edd60
hex70e598db7de4

124131414343140 has 72 divisors (see below), whose sum is σ = 382704611904888. Its totient is φ = 32559059496960.

The previous prime is 124131414343063. The next prime is 124131414343141. The reversal of 124131414343140 is 41343414131421.

124131414343140 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 3 + 141 + 43 + 431 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17023942016064 + 107107472327076 = 4126008^2 + 10349274^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 124131414343095 and 124131414343104.

It is not an unprimeable number, because it can be changed into a prime (124131414343141) 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, 5652603517 + ... + 5652625476.

Almost surely, 2124131414343140 is an apocalyptic number.

124131414343140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124131414343140 is an abundant number, since it is smaller than the sum of its proper divisors (258573197561748).

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

124131414343140 is a wasteful number, since it uses less digits than its factorization.

124131414343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11305229069 (or 11305229064 counting only the distinct ones).

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

Adding to 124131414343140 its reverse (41343414131421), we get a palindrome (165474828474561).

The spelling of 124131414343140 in words is "one hundred twenty-four trillion, one hundred thirty-one billion, four hundred fourteen million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 11305228993 22610457986 33915686979 45220915972 56526144965 67831373958 101747060937 113052289930 135662747916 169578434895 203494121874 226104579860 339156869790 406988243748 508735304685 678313739580 689618968573 1017470609370 1379237937146 2034941218740 2068856905719 2758475874292 3448094842865 4137713811438 6206570717157 6896189685730 8275427622876 10344284528595 12413141434314 13792379371460 20688569057190 24826282868628 31032853585785 41377138114380 62065707171570 124131414343140