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125434403442 = 2345941931321
BaseRepresentation
bin111010011010001111…
…0010001101001110010
3102222202201221220120000
41310310132101221302
54023342201402232
6133342422330430
712030244560135
oct1646436215162
9388681856500
10125434403442
11492184a5937
1220387889a16
13baa00418ca
1460dcda621c
1533e211927c
hex1d34791a72

125434403442 has 80 divisors (see below), whose sum is σ = 286521127200. Its totient is φ = 41003392320.

The previous prime is 125434403431. The next prime is 125434403473. The reversal of 125434403442 is 244304434521.

125434403442 is a `hidden beast` number, since 1 + 2 + 543 + 4 + 40 + 34 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125434403397 and 125434403406.

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 39 ways as a sum of consecutive naturals, for example, 3989142 + ... + 4020462.

It is an arithmetic number, because the mean of its divisors is an integer number (3581514090).

Almost surely, 2125434403442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125434403442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143260563600).

125434403442 is an abundant number, since it is smaller than the sum of its proper divisors (161086723758).

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

125434403442 is a wasteful number, since it uses less digits than its factorization.

125434403442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31813 (or 31804 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 125434403442 its reverse (244304434521), we get a palindrome (369738837963).

The spelling of 125434403442 in words is "one hundred twenty-five billion, four hundred thirty-four million, four hundred three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 419 531 838 1062 1257 1593 2514 3186 3771 4779 7542 9558 11313 22626 24721 31321 33939 49442 62642 67878 74163 93963 148326 187926 222489 281889 444978 563778 667467 845667 1334934 1691334 1847939 2002401 2537001 3695878 4004802 5074002 5543817 11087634 13123499 16631451 26246998 33262902 39370497 49894353 78740994 99788706 118111491 149683059 236222982 299366118 354334473 708668946 774286441 1063003419 1548572882 2126006838 2322859323 4645718646 6968577969 13937155938 20905733907 41811467814 62717201721 125434403442