Search a number
-
+
332141131410 = 235112579390263
BaseRepresentation
bin1001101010101010010…
…01110111011010010010
31011202022111010200020120
410311111021313122102
520420211112201120
6412330013051110
732665524014664
oct4652511673222
91152274120216
10332141131410
11118951012020
1254455486a96
132542298336a
141210baa2534
15898e277140
hex4d55277692

332141131410 has 64 divisors (see below), whose sum is σ = 869945287680. Its totient is φ = 80487634880.

The previous prime is 332141131397. The next prime is 332141131447. The reversal of 332141131410 is 14131141233.

It is a happy number.

It is a super-2 number, since 2×3321411314102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655939 + ... + 1046201.

It is an arithmetic number, because the mean of its divisors is an integer number (13592895120).

Almost surely, 2332141131410 is an apocalyptic number.

332141131410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332141131410 is an abundant number, since it is smaller than the sum of its proper divisors (537804156270).

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

332141131410 is a wasteful number, since it uses less digits than its factorization.

332141131410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392863.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 332141131410 its reverse (14131141233), we get a palindrome (346272272643).

The spelling of 332141131410 in words is "three hundred thirty-two billion, one hundred forty-one million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2579 5158 7737 12895 15474 25790 28369 38685 56738 77370 85107 141845 170214 283690 390263 425535 780526 851070 1170789 1951315 2341578 3902630 4292893 5853945 8585786 11707890 12878679 21464465 25757358 42928930 64393395 128786790 1006488277 2012976554 3019464831 5032441385 6038929662 10064882770 11071371047 15097324155 22142742094 30194648310 33214113141 55356855235 66428226282 110713710470 166070565705 332141131410