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10440043440 = 243543500181
BaseRepresentation
bin10011011100100011…
…00110101110110000
3222221120210011020120
421232101212232300
5132340122342230
64443542210240
7516466622301
oct115621465660
928846704216
1010440043440
114478150182
122034423980
13ca4c0c2c8
1471078c7a8
15411831310
hex26e466bb0

10440043440 has 40 divisors (see below), whose sum is σ = 32364135408. Its totient is φ = 2784011520.

The previous prime is 10440043423. The next prime is 10440043457. The reversal of 10440043440 is 4434004401.

10440043440 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 (10440043423) and next prime (10440043457).

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 10440043440.

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, 21749851 + ... + 21750330.

Almost surely, 210440043440 is an apocalyptic number.

10440043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440043440 is an abundant number, since it is smaller than the sum of its proper divisors (21924091968).

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

10440043440 is a wasteful number, since it uses less digits than its factorization.

10440043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43500197 (or 43500191 counting only the distinct ones).

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

Adding to 10440043440 its reverse (4434004401), we get a palindrome (14874047841).

The spelling of 10440043440 in words is "ten billion, four hundred forty 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 43500181 87000362 130500543 174000724 217500905 261001086 348001448 435001810 522002172 652502715 696002896 870003620 1044004344 1305005430 1740007240 2088008688 2610010860 3480014480 5220021720 10440043440