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10040103744 = 263112432167
BaseRepresentation
bin10010101100110111…
…11101001101000000
3221220201020010010020
421112123331031000
5131030231304434
64340134133440
7503542321326
oct112633751500
927821203106
1010040103744
114292416600
121b424b1280
13c400bc2b8
146b3601d16
153db680849
hex2566fd340

10040103744 has 84 divisors (see below), whose sum is σ = 29198998752. Its totient is φ = 3042448640.

The previous prime is 10040103737. The next prime is 10040103751. The reversal of 10040103744 is 44730104001.

10040103744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10040103737) and next prime (10040103751).

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

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 11 ways as a sum of consecutive naturals, for example, 192852 + ... + 239315.

It is an arithmetic number, because the mean of its divisors is an integer number (347607128).

Almost surely, 210040103744 is an apocalyptic number.

It is an amenable number.

10040103744 is an abundant number, since it is smaller than the sum of its proper divisors (19158895008).

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

10040103744 is a wasteful number, since it uses less digits than its factorization.

10040103744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432204 (or 432183 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 10040103744 its reverse (44730104001), we get a palindrome (54770207745).

The spelling of 10040103744 in words is "ten billion, forty million, one hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 432167 864334 1296501 1728668 2593002 3457336 4753837 5186004 6914672 9507674 10372008 13829344 14261511 19015348 20744016 27658688 28523022 38030696 41488032 52292207 57046044 76061392 82976064 104584414 114092088 152122784 156876621 209168828 228184176 304245568 313753242 418337656 456368352 627506484 836675312 912736704 1255012968 1673350624 2510025936 3346701248 5020051872 10040103744