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10402442440 = 23513160912433
BaseRepresentation
bin10011011000000100…
…01010110011001000
3222211222000211100221
421230002022303020
5132301011124230
64440120235424
7515532205345
oct115402126310
928758024327
1010402442440
1144589a8a75
12202390bb74
13c9a1a56b0
147097a17cc
1540d3a527a
hex26c08acc8

10402442440 has 64 divisors (see below), whose sum is σ = 25223612400. Its totient is φ = 3838205952.

The previous prime is 10402442431. The next prime is 10402442467. The reversal of 10402442440 is 4424420401.

It can be written as a sum of positive squares in 8 ways, for example, as 3603120676 + 6799321764 = 60026^2 + 82458^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830464 + ... + 842896.

Almost surely, 210402442440 is an apocalyptic number.

10402442440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402442440 is an abundant number, since it is smaller than the sum of its proper divisors (14821169960).

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

10402442440 is a wasteful number, since it uses less digits than its factorization.

10402442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14066 (or 14062 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 10402442440 its reverse (4424420401), we get a palindrome (14826862841).

The spelling of 10402442440 in words is "ten billion, four hundred two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1609 3218 6436 8045 12433 12872 16090 20917 24866 32180 41834 49732 62165 64360 83668 99464 104585 124330 161629 167336 209170 248660 323258 418340 497320 646516 808145 836680 1293032 1616290 3232580 6465160 20004697 40009394 80018788 100023485 160037576 200046970 260061061 400093940 520122122 800187880 1040244244 1300305305 2080488488 2600610610 5201221220 10402442440