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240225151041440 = 2551501407194009
BaseRepresentation
bin110110100111101111000110…
…110010110011111110100000
31011111120022002210222001002122
4312213233012302303332200
5222441322102131311230
62210525524430003412
7101412460120554635
oct6647570662637640
91144508083861078
10240225151041440
116a5a7a07119284
1222b392b1046568
13a407199783c46
144346d6064418c
151cb8c1a2dabe5
hexda7bc6cb3fa0

240225151041440 has 24 divisors (see below), whose sum is σ = 567531919335780. Its totient is φ = 96090060416512.

The previous prime is 240225151041353. The next prime is 240225151041443. The reversal of 240225151041440 is 44140151522042.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 202914213081616 + 37310937959824 = 14244796^2 + 6108268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 240225151041440.

It is not an unprimeable number, because it can be changed into a prime (240225151041443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 750703596845 + ... + 750703597164.

Almost surely, 2240225151041440 is an apocalyptic number.

240225151041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240225151041440 is an abundant number, since it is smaller than the sum of its proper divisors (327306768294340).

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

240225151041440 is a wasteful number, since it uses less digits than its factorization.

240225151041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501407194024 (or 1501407194016 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The spelling of 240225151041440 in words is "two hundred forty trillion, two hundred twenty-five billion, one hundred fifty-one million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1501407194009 3002814388018 6005628776036 7507035970045 12011257552072 15014071940090 24022515104144 30028143880180 48045030208288 60056287760360 120112575520720 240225151041440