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11244540240 = 2432515617417
BaseRepresentation
bin10100111100011101…
…00001000101010000
31002000122120211101100
422132032201011100
5141012100241430
65055441304400
7545436005103
oct123616410520
932018524340
1011244540240
11485028256a
122219935100
1310a27a7c0b
1478956873a
1545c295960
hex29e3a1150

11244540240 has 60 divisors (see below), whose sum is σ = 37762916724. Its totient is φ = 2998543872.

The previous prime is 11244540221. The next prime is 11244540257. The reversal of 11244540240 is 4204544211.

11244540240 is a `hidden beast` number, since 11 + 244 + 5 + 402 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6070903056 + 5173637184 = 77916^2 + 71928^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7807989 + ... + 7809428.

Almost surely, 211244540240 is an apocalyptic number.

11244540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11244540240 is an abundant number, since it is smaller than the sum of its proper divisors (26518376484).

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

11244540240 is a wasteful number, since it uses less digits than its factorization.

11244540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15617436 (or 15617427 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 11244540240 in words is "eleven billion, two hundred forty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 15617417 31234834 46852251 62469668 78087085 93704502 124939336 140556753 156174170 187409004 234261255 249878672 281113506 312348340 374818008 468522510 562227012 624696680 702783765 749636016 937045020 1124454024 1249393360 1405567530 1874090040 2248908048 2811135060 3748180080 5622270120 11244540240