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10114231344 = 243730101879
BaseRepresentation
bin10010110101101101…
…01110110000110000
3222002212201012001220
421122312232300300
5131203220400334
64351343025040
7505432355640
oct113266566060
928085635056
1010114231344
114320246788
121b6329b180
13c52574799
146bd3ba520
153e2e24449
hex25adaec30

10114231344 has 40 divisors (see below), whose sum is σ = 29861064960. Its totient is φ = 2889780288.

The previous prime is 10114231339. The next prime is 10114231367. The reversal of 10114231344 is 44313241101.

10114231344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 15050604 + ... + 15051275.

It is an arithmetic number, because the mean of its divisors is an integer number (746526624).

Almost surely, 210114231344 is an apocalyptic number.

10114231344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10114231344 is an abundant number, since it is smaller than the sum of its proper divisors (19746833616).

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

10114231344 is a wasteful number, since it uses less digits than its factorization.

10114231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30101897 (or 30101891 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10114231344 its reverse (44313241101), we get a palindrome (54427472445).

The spelling of 10114231344 in words is "ten billion, one hundred fourteen million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 30101879 60203758 90305637 120407516 180611274 210713153 240815032 361222548 421426306 481630064 632139459 722445096 842852612 1264278918 1444890192 1685705224 2528557836 3371410448 5057115672 10114231344