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10232244042400 = 255212790305053
BaseRepresentation
bin1001010011100110000101…
…0001010111101010100000
31100020012012200101000011101
42110321201101113222200
52320121113433324100
633432343352524144
72104153355211652
oct224714121275240
940205180330141
1010232244042400
11329551a00a546
1211930b19b0654
13592b86721913
142753596bc6d2
1512b26e00c86a
hex94e61457aa0

10232244042400 has 36 divisors (see below), whose sum is σ = 24979465770462. Its totient is φ = 4092897616640.

The previous prime is 10232244042379. The next prime is 10232244042437. The reversal of 10232244042400 is 424044223201.

It can be written as a sum of positive squares in 3 ways, for example, as 6070921477776 + 4161322564624 = 2463924^2 + 2039932^2 .

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 5 ways as a sum of consecutive naturals, for example, 6395151727 + ... + 6395153326.

Almost surely, 210232244042400 is an apocalyptic number.

10232244042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232244042400 is an abundant number, since it is smaller than the sum of its proper divisors (14747221728062).

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

10232244042400 is a wasteful number, since it uses less digits than its factorization.

10232244042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12790305073 (or 12790305060 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 10232244042400 its reverse (424044223201), we get a palindrome (10656288265601).

The spelling of 10232244042400 in words is "ten trillion, two hundred thirty-two billion, two hundred forty-four million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12790305053 25580610106 51161220212 63951525265 102322440424 127903050530 204644880848 255806101060 319757626325 409289761696 511612202120 639515252650 1023224404240 1279030505300 2046448808480 2558061010600 5116122021200 10232244042400