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10241141344 = 257163280487
BaseRepresentation
bin10011000100110101…
…10110101001100000
3222102201111212212021
421202122312221200
5131433213010334
64412115111224
7511533156640
oct114232665140
928381455767
1010241141344
114385948085
121b998a2514
13c7294a965
146d21b4520
153ee1423b4
hex2626b6a60

10241141344 has 48 divisors (see below), whose sum is σ = 23184016128. Its totient is φ = 4362118272.

The previous prime is 10241141329. The next prime is 10241141347. The reversal of 10241141344 is 44314114201.

It is a super-2 number, since 2×102411413442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241141347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103732 + ... + 176755.

It is an arithmetic number, because the mean of its divisors is an integer number (483000336).

Almost surely, 210241141344 is an apocalyptic number.

10241141344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10241141344 is an abundant number, since it is smaller than the sum of its proper divisors (12942874784).

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

10241141344 is a wasteful number, since it uses less digits than its factorization.

10241141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280667 (or 280659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10241141344 its reverse (44314114201), we get a palindrome (54555255545).

The spelling of 10241141344 in words is "ten billion, two hundred forty-one million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 652 1141 1304 2282 2608 4564 5216 9128 18256 36512 280487 560974 1121948 1963409 2243896 3926818 4487792 7853636 8975584 15707272 31414544 45719381 62829088 91438762 182877524 320035667 365755048 640071334 731510096 1280142668 1463020192 2560285336 5120570672 10241141344