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10004110240 = 25567792357
BaseRepresentation
bin10010101000100101…
…01001101110100000
3221211012111110022111
421110102221232200
5130442023011430
64332410445104
7502624351105
oct112422515640
927735443274
1010004110240
114274072103
121b32433794
13c357c9277
146ac912aac
153d8420c2a
hex2544a9ba0

10004110240 has 48 divisors (see below), whose sum is σ = 23669877672. Its totient is φ = 3995689984.

The previous prime is 10004110211. The next prime is 10004110273. The reversal of 10004110240 is 4201140001.

It can be written as a sum of positive squares in 4 ways, for example, as 9994400784 + 9709456 = 99972^2 + 3116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10004110240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62142 + ... + 154498.

Almost surely, 210004110240 is an apocalyptic number.

10004110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004110240 is an abundant number, since it is smaller than the sum of its proper divisors (13665767432).

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

10004110240 is an equidigital number, since it uses as much as digits as its factorization.

10004110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93049 (or 93041 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10004110240 its reverse (4201140001), we get a palindrome (14205250241).

The spelling of 10004110240 in words is "ten billion, four million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 677 1354 2708 3385 5416 6770 10832 13540 21664 27080 54160 92357 108320 184714 369428 461785 738856 923570 1477712 1847140 2955424 3694280 7388560 14777120 62525689 125051378 250102756 312628445 500205512 625256890 1000411024 1250513780 2000822048 2501027560 5002055120 10004110240