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10023414440 = 23513115116747
BaseRepresentation
bin10010101010111000…
…10010101010101000
3221212112211012200212
421111130102222220
5131011443230230
64334340320252
7503250421424
oct112534225250
927775735625
1010023414440
114283a57696
121b389a3088
13c397c7a80
146b12d9b84
153d9e85895
hex255712aa8

10023414440 has 64 divisors (see below), whose sum is σ = 24310056960. Its totient is φ = 3697516800.

The previous prime is 10023414403. The next prime is 10023414463. The reversal of 10023414440 is 4441432001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590147 + ... + 606893.

It is an arithmetic number, because the mean of its divisors is an integer number (379844640).

Almost surely, 210023414440 is an apocalyptic number.

10023414440 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 10023414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12155028480).

10023414440 is an abundant number, since it is smaller than the sum of its proper divisors (14286642520).

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

10023414440 is a wasteful number, since it uses less digits than its factorization.

10023414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17922 (or 17918 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10023414440 its reverse (4441432001), we get a palindrome (14464846441).

The spelling of 10023414440 in words is "ten billion, twenty-three million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1151 2302 4604 5755 9208 11510 14963 16747 23020 29926 33494 46040 59852 66988 74815 83735 119704 133976 149630 167470 217711 299260 334940 435422 598520 669880 870844 1088555 1741688 2177110 4354220 8708440 19275797 38551594 77103188 96378985 154206376 192757970 250585361 385515940 501170722 771031880 1002341444 1252926805 2004682888 2505853610 5011707220 10023414440