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404034233130 = 2325113311232977
BaseRepresentation
bin1011110000100100101…
…00010010001100101010
31102121212211200122110200
411320102110102030222
523104430230430010
6505335531453030
741122226213433
oct5702224221452
91377784618420
10404034233130
11146393878470
126637a2b7176
132c13c387738
14157abca848a
15a79ab81cc0
hex5e1251232a

404034233130 has 96 divisors (see below), whose sum is σ = 1149451138368. Its totient is φ = 97651699200.

The previous prime is 404034233117. The next prime is 404034233137. The reversal of 404034233130 is 31332430404.

404034233130 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 342 + 3 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 404034233094 and 404034233103.

It is not an unprimeable number, because it can be changed into a prime (404034233137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288799 + ... + 944178.

It is an arithmetic number, because the mean of its divisors is an integer number (11973449358).

Almost surely, 2404034233130 is an apocalyptic number.

404034233130 is an abundant number, since it is smaller than the sum of its proper divisors (745416905238).

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

404034233130 is a wasteful number, since it uses less digits than its factorization.

404034233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233332 (or 1233329 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 404034233130 its reverse (31332430404), we get a palindrome (435366663534).

The spelling of 404034233130 in words is "four hundred four billion, thirty-four million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 331 495 662 990 993 1655 1986 2979 3310 3641 4965 5958 7282 9930 10923 14895 18205 21846 29790 32769 36410 54615 65538 109230 163845 327690 1232977 2465954 3698931 6164885 7397862 11096793 12329770 13562747 18494655 22193586 27125494 36989310 40688241 55483965 67813735 81376482 110967930 122064723 135627470 203441205 244129446 406882410 408115387 610323615 816230774 1220647230 1224346161 2040576935 2448692322 3673038483 4081153870 4489269257 6121730805 7346076966 8978538514 12243461610 13467807771 18365192415 22446346285 26935615542 36730384830 40403423313 44892692570 67339038855 80806846626 134678077710 202017116565 404034233130