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10044043440 = 243541850181
BaseRepresentation
bin10010101101010101…
…11111000010110000
3221220222122021100220
421112222333002300
5131032233342230
64340354413040
7503620650324
oct112652770260
927828567326
1010044043440
114294667552
121b43891180
13c40b6b592
146b3d49984
153dbbacd10
hex256abf0b0

10044043440 has 40 divisors (see below), whose sum is σ = 31136535408. Its totient is φ = 2678411520.

The previous prime is 10044043403. The next prime is 10044043453. The reversal of 10044043440 is 4434044001.

10044043440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10044043440.

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, 20924851 + ... + 20925330.

Almost surely, 210044043440 is an apocalyptic number.

10044043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044043440 is an abundant number, since it is smaller than the sum of its proper divisors (21092491968).

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

10044043440 is a wasteful number, since it uses less digits than its factorization.

10044043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41850197 (or 41850191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10044043440 its reverse (4434044001), we get a palindrome (14478087441).

The spelling of 10044043440 in words is "ten billion, forty-four million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41850181 83700362 125550543 167400724 209250905 251101086 334801448 418501810 502202172 627752715 669602896 837003620 1004404344 1255505430 1674007240 2008808688 2511010860 3348014480 5022021720 10044043440