Search a number
-
+
42432041410120 = 23511319348640517
BaseRepresentation
bin10011010010111011110101…
…10000010101111001001000
312120020110111220220111212201
421221131322300111321020
521030201310100110440
6230125002152045544
711636420353663465
oct1151357260257110
9176213456814781
1042432041410120
111257a3671a198a
1249137449938b4
131a8a42a747c2b
14a69a1673066c
154d8b4c55e19a
hex26977ac15e48

42432041410120 has 64 divisors (see below), whose sum is σ = 96816032647920. Its totient is φ = 16735450497024.

The previous prime is 42432041410117. The next prime is 42432041410207. The reversal of 42432041410120 is 2101414023424.

42432041410120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 190335003076 + 42241706407044 = 436274^2 + 6499362^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23447899 + ... + 25192618.

Almost surely, 242432041410120 is an apocalyptic number.

42432041410120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42432041410120 is an abundant number, since it is smaller than the sum of its proper divisors (54383991237800).

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

42432041410120 is a wasteful number, since it uses less digits than its factorization.

42432041410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48640834 (or 48640830 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42432041410120 its reverse (2101414023424), we get a palindrome (44533455433544).

The spelling of 42432041410120 in words is "forty-two trillion, four hundred thirty-two billion, forty-one million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 193 226 386 452 565 772 904 965 1130 1544 1930 2260 3860 4520 7720 21809 43618 87236 109045 174472 218090 436180 872360 48640517 97281034 194562068 243202585 389124136 486405170 972810340 1945620680 5496378421 9387619781 10992756842 18775239562 21985513684 27481892105 37550479124 43971027368 46938098905 54963784210 75100958248 93876197810 109927568420 187752395620 219855136840 375504791240 1060801035253 2121602070506 4243204141012 5304005176265 8486408282024 10608010352530 21216020705060 42432041410120