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253590400040 = 235191013303679
BaseRepresentation
bin1110110000101100101…
…0100110110000101000
3220020120011002002001112
43230023022212300220
513123323120300130
6312255310205452
724215130556235
oct3541312466050
9806504062045
10253590400040
1198602195a0a
1241192ab3888
131abb4b8a563
14c3b95c278c
1568e3131495
hex3b0b2a6c28

253590400040 has 64 divisors (see below), whose sum is σ = 606555648000. Its totient is φ = 95145926400.

The previous prime is 253590400027. The next prime is 253590400043. The reversal of 253590400040 is 40004095352.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (253590400043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1575080 + ... + 1728599.

It is an arithmetic number, because the mean of its divisors is an integer number (9477432000).

Almost surely, 2253590400040 is an apocalyptic number.

253590400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253590400040 is an abundant number, since it is smaller than the sum of its proper divisors (352965247960).

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

253590400040 is a wasteful number, since it uses less digits than its factorization.

253590400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303810 (or 3303806 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 253590400040 its reverse (40004095352), we get a palindrome (293594495392).

The spelling of 253590400040 in words is "two hundred fifty-three billion, five hundred ninety million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 380 404 505 760 808 1010 1919 2020 3838 4040 7676 9595 15352 19190 38380 76760 3303679 6607358 13214716 16518395 26429432 33036790 62769901 66073580 125539802 132147160 251079604 313849505 333671579 502159208 627699010 667343158 1255398020 1334686316 1668357895 2510796040 2669372632 3336715790 6339760001 6673431580 12679520002 13346863160 25359040004 31698800005 50718080008 63397600010 126795200020 253590400040