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10240010442424 = 237182857329329
BaseRepresentation
bin1001010100000011000000…
…1011110101011010111000
31100020221020221020000010201
42111000300023311122320
52320233020133124144
633440110145451544
72104550001423430
oct225006013653270
940227227200121
1010240010442424
113298844a35864
1211946ba940bb4
13593823744ca9
14275894d392c0
1512b575c631d4
hex950302f56b8

10240010442424 has 16 divisors (see below), whose sum is σ = 21942879519600. Its totient is φ = 4388575903872.

The previous prime is 10240010442401. The next prime is 10240010442457. The reversal of 10240010442424 is 42424401004201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10240010442392 and 10240010442401.

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 3 ways as a sum of consecutive naturals, for example, 91428664609 + ... + 91428664720.

It is an arithmetic number, because the mean of its divisors is an integer number (1371429969975).

Almost surely, 210240010442424 is an apocalyptic number.

10240010442424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10240010442424 is an abundant number, since it is smaller than the sum of its proper divisors (11702869077176).

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

10240010442424 is a wasteful number, since it uses less digits than its factorization.

10240010442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182857329342 (or 182857329338 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10240010442424 its reverse (42424401004201), we get a palindrome (52664411446625).

The spelling of 10240010442424 in words is "ten trillion, two hundred forty billion, ten million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 182857329329 365714658658 731429317316 1280001305303 1462858634632 2560002610606 5120005221212 10240010442424