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404111947204 = 227217226712
BaseRepresentation
bin1011110000101101111…
…00101111010111000100
31102122002020220221010201
411320112330233113010
523110110124302304
6505351345300244
741124161606200
oct5702674572704
91378066827121
10404111947204
11146423728179
12663a0334684
132c1524c74b4
14157b8337b00
15a7a28d33a4
hex5e16f2f5c4

404111947204 has 81 divisors (see below), whose sum is σ = 874221884109. Its totient is φ = 162942111360.

The previous prime is 404111947201. The next prime is 404111947231. The reversal of 404111947204 is 402749111404.

The square root of 404111947204 is 635698.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 314620028100 + 89491919104 = 560910^2 + 299152^2 .

It is not an unprimeable number, because it can be changed into a prime (404111947201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151294789 + ... + 151297459.

Almost surely, 2404111947204 is an apocalyptic number.

404111947204 is the 635698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404111947204

404111947204 is an abundant number, since it is smaller than the sum of its proper divisors (470109936905).

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

404111947204 is an equidigital number, since it uses as much as digits as its factorization.

404111947204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 404111947204 in words is "four hundred four billion, one hundred eleven million, nine hundred forty-seven thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 2671 3332 4046 5342 8092 10684 14161 18697 28322 37394 45407 56644 74788 90814 130879 181628 261758 317849 523516 635698 771919 1271396 1543838 2224943 3087676 4449886 5403433 7134241 8899772 10806866 14268482 21613732 28536964 37824031 49939687 75648062 99879374 121282097 151296124 199758748 242564194 349577809 485128388 699155618 848974679 1398311236 1697949358 2061795649 3395898716 4123591298 5942822753 8247182596 11885645506 14432569543 23771291012 28865139086 57730278172 101027986801 202055973602 404111947204