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10502434240 = 26559556273
BaseRepresentation
bin10011100011111111…
…00110110111000000
31000002221011221022221
421301333212313000
5133002110343430
64454051340424
7521155134544
oct116177466700
930087157287
1010502434240
1144aa394321
1220512b1714
13cb4b1553c
14718b8da24
1541705757a
hex271fe6dc0

10502434240 has 56 divisors (see below), whose sum is σ = 25432847280. Its totient is φ = 4129763328.

The previous prime is 10502434219. The next prime is 10502434277. The reversal of 10502434240 is 4243420501.

It is a happy number.

It is a super-2 number, since 2×105024342402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259257 + ... + 297016.

Almost surely, 210502434240 is an apocalyptic number.

10502434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10502434240 is an abundant number, since it is smaller than the sum of its proper divisors (14930413040).

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

10502434240 is an equidigital number, since it uses as much as digits as its factorization.

10502434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556349 (or 556339 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10502434240 its reverse (4243420501), we get a palindrome (14745854741).

The spelling of 10502434240 in words is "ten billion, five hundred two million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1180 1888 2360 3776 4720 9440 18880 556273 1112546 2225092 2781365 4450184 5562730 8900368 11125460 17800736 22250920 32820107 35601472 44501840 65640214 89003680 131280428 164100535 178007360 262560856 328201070 525121712 656402140 1050243424 1312804280 2100486848 2625608560 5251217120 10502434240