Search a number
-
+
3229104295432 = 231741214124577
BaseRepresentation
bin101110111111010101100…
…111010100111000001000
3102102200212211102100122101
4232333111213110320020
5410401201144423212
610511232515403144
7452203133431261
oct56772547247010
912380784370571
103229104295432
1110355012128a4
124419a45b34b4
131a5670792962
14b240a4a3968
1558ee2d63157
hex2efd59d4e08

3229104295432 has 48 divisors (see below), whose sum is σ = 6570894931380. Its totient is φ = 1482515496960.

The previous prime is 3229104295429. The next prime is 3229104295447. The reversal of 3229104295432 is 2345924019223.

It can be written as a sum of positive squares in 6 ways, for example, as 114253464196 + 3114850831236 = 338014^2 + 1764894^2 .

It is a super-2 number, since 2×32291042954322 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 6833673 + ... + 7290904.

Almost surely, 23229104295432 is an apocalyptic number.

It is an amenable number.

3229104295432 is an abundant number, since it is smaller than the sum of its proper divisors (3341790635948).

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

3229104295432 is a wasteful number, since it uses less digits than its factorization.

3229104295432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124682 (or 14124637 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 3229104295432 in words is "three trillion, two hundred twenty-nine billion, one hundred four million, two hundred ninety-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 328 697 1394 1681 2788 3362 5576 6724 13448 28577 57154 114308 228616 14124577 28249154 56498308 112996616 240117809 480235618 579107657 960471236 1158215314 1920942472 2316430628 4632861256 9844830169 19689660338 23743413937 39379320676 47486827874 78758641352 94973655748 189947311496 403638036929 807276073858 1614552147716 3229104295432