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120402414342 = 23271997336551
BaseRepresentation
bin111000000100010001…
…0110000101100000110
3102111210001101101012100
41300020202300230012
53433041004224332
6131151225332530
711461453431030
oct1601042605406
9374701341170
10120402414342
1147076029a61
121b402637146
13b47a692872
145b82978c50
1531ea49467c
hex1c088b0b06

120402414342 has 96 divisors (see below), whose sum is σ = 300092083200. Its totient is φ = 34175908800.

The previous prime is 120402414323. The next prime is 120402414367. The reversal of 120402414342 is 243414204021.

120402414342 is a `hidden beast` number, since 1 + 204 + 0 + 2 + 414 + 3 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18375967 + ... + 18382517.

It is an arithmetic number, because the mean of its divisors is an integer number (3125959200).

Almost surely, 2120402414342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120402414342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150046041600).

120402414342 is an abundant number, since it is smaller than the sum of its proper divisors (179689668858).

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

120402414342 is a wasteful number, since it uses less digits than its factorization.

120402414342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498 (or 7495 counting only the distinct ones).

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

Adding to 120402414342 its reverse (243414204021), we get a palindrome (363816618363).

The spelling of 120402414342 in words is "one hundred twenty billion, four hundred two million, four hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 199 398 597 733 1194 1393 1466 1791 2199 2786 3582 4179 4398 5131 6551 6597 8358 10262 12537 13102 13194 15393 19653 25074 30786 39306 45857 46179 58959 91714 92358 117918 137571 145867 275142 291734 412713 437601 825426 875202 1021069 1303649 1312803 2042138 2607298 2625606 3063207 3910947 4801883 6126414 7821894 9125543 9189621 9603766 11732841 14405649 18251086 18379242 23465682 27376629 28811298 33613181 43216947 54753258 67226362 82129887 86433894 100839543 164259774 201679086 302518629 605037258 955574717 1911149434 2866724151 5733448302 6689023019 8600172453 13378046038 17200344906 20067069057 40134138114 60201207171 120402414342