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10140443504 = 2423269102437
BaseRepresentation
bin10010111000110101…
…01110001101110000
3222011201000220101122
421130122232031300
5131231423143004
64354120521412
7506201230142
oct113432561560
928151026348
1010140443504
11433401a324
121b70020268
13c57b21639
146c2a80c92
153e53a0cbe
hex25c6ae370

10140443504 has 40 divisors (see below), whose sum is σ = 20577745440. Its totient is φ = 4831701248.

The previous prime is 10140443497. The next prime is 10140443513. The reversal of 10140443504 is 40534404101.

It is a happy number.

10140443504 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 7 ways as a sum of consecutive naturals, for example, 47774 + ... + 150210.

It is an arithmetic number, because the mean of its divisors is an integer number (514443636).

Almost surely, 210140443504 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 10140443504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10288872720).

10140443504 is an abundant number, since it is smaller than the sum of its proper divisors (10437301936).

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

10140443504 is a wasteful number, since it uses less digits than its factorization.

10140443504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102737 (or 102731 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10140443504 its reverse (40534404101), we get a palindrome (50674847605).

The spelling of 10140443504 in words is "ten billion, one hundred forty million, four hundred forty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 269 368 538 1076 2152 4304 6187 12374 24748 49496 98992 102437 204874 409748 819496 1638992 2356051 4712102 9424204 18848408 27555553 37696816 55111106 110222212 220444424 440888848 633777719 1267555438 2535110876 5070221752 10140443504