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10024013440 = 27572237503
BaseRepresentation
bin10010101010111101…
…00100111010000000
3221212120221122101001
421111132210322000
5131012121412230
64334401221344
7503255464660
oct112536447200
927776848331
1010024013440
114284326731
121b39031854
13c399775cc
146b14141a0
153da0530ca
hex2557a4e80

10024013440 has 64 divisors (see below), whose sum is σ = 27387048960. Its totient is φ = 3436803072.

The previous prime is 10024013411. The next prime is 10024013443. The reversal of 10024013440 is 4431042001.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10024013443) 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, 1114272 + ... + 1123231.

It is an arithmetic number, because the mean of its divisors is an integer number (427922640).

Almost surely, 210024013440 is an apocalyptic number.

10024013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024013440 is an abundant number, since it is smaller than the sum of its proper divisors (17363035520).

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

10024013440 is an equidigital number, since it uses as much as digits as its factorization.

10024013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237529 (or 2237517 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10024013440 its reverse (4431042001), we get a palindrome (14455055441).

The spelling of 10024013440 in words is "ten billion, twenty-four million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 2237503 4475006 8950012 11187515 15662521 17900024 22375030 31325042 35800048 44750060 62650084 71600096 78312605 89500120 125300168 143200192 156625210 179000240 250600336 286400384 313250420 358000480 501200672 626500840 716000960 1002401344 1253001680 1432001920 2004802688 2506003360 5012006720 10024013440