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10453322240 = 29510140429
BaseRepresentation
bin10011011110001000…
…10000101000000000
3222222111202210022222
421233010100220000
5132402022302430
64445134550212
7520020526064
oct115704205000
928874683288
1010453322240
11448469a799
122038968368
13ca78ab39a
14712447aa4
15412aa59e5
hex26f110a00

10453322240 has 80 divisors (see below), whose sum is σ = 25312252680. Its totient is φ = 4139827200.

The previous prime is 10453322237. The next prime is 10453322263. The reversal of 10453322240 is 4222335401.

It can be written as a sum of positive squares in 4 ways, for example, as 10430128384 + 23193856 = 102128^2 + 4816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238346 + ... + 278774.

Almost surely, 210453322240 is an apocalyptic number.

10453322240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10453322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656126340).

10453322240 is an abundant number, since it is smaller than the sum of its proper divisors (14858930440).

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

10453322240 is an equidigital number, since it uses as much as digits as its factorization.

10453322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40553 (or 40537 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 10453322240 its reverse (4222335401), we get a palindrome (14675657641).

The spelling of 10453322240 in words is "ten billion, four hundred fifty-three million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1280 1616 2020 2560 3232 4040 6464 8080 12928 16160 25856 32320 40429 51712 64640 80858 129280 161716 202145 258560 323432 404290 646864 808580 1293728 1617160 2587456 3234320 4083329 5174912 6468640 8166658 10349824 12937280 16333316 20416645 20699648 25874560 32666632 40833290 51749120 65333264 81666580 103498240 130666528 163333160 261333056 326666320 522666112 653332640 1045332224 1306665280 2090664448 2613330560 5226661120 10453322240