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10014011344 = 242931743937
BaseRepresentation
bin10010101001110000…
…11010111111010000
3221211220010111002001
421110320122333100
5131002041330334
64333403003344
7503104456231
oct112470327720
927756114061
1010014011344
114279714a37
121b35809554
13c37884acc
146add6d088
153d9229714
hex254e1afd0

10014011344 has 80 divisors (see below), whose sum is σ = 20768670720. Its totient is φ = 4667120640.

The previous prime is 10014011321. The next prime is 10014011363. The reversal of 10014011344 is 44311041001.

10014011344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10686844 + ... + 10687780.

It is an arithmetic number, because the mean of its divisors is an integer number (259608384).

Almost surely, 210014011344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384335360).

10014011344 is an abundant number, since it is smaller than the sum of its proper divisors (10754659376).

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

10014011344 is a wasteful number, since it uses less digits than its factorization.

10014011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10014011344 its reverse (44311041001), we get a palindrome (54325052345).

The spelling of 10014011344 in words is "ten billion, fourteen million, eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 743 899 937 1486 1798 1874 2972 3596 3748 5944 7192 7496 11888 14384 14992 21547 23033 27173 29047 43094 46066 54346 58094 86188 92132 108692 116188 172376 184264 217384 232376 344752 368528 434768 464752 667957 696191 842363 1335914 1392382 1684726 2671828 2784764 3369452 5343656 5569528 6738904 10687312 11139056 13477808 20189539 21581921 40379078 43163842 80758156 86327684 161516312 172655368 323032624 345310736 625875709 1251751418 2503502836 5007005672 10014011344