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240880713616 = 2429242312
BaseRepresentation
bin1110000001010110011…
…0111111111110010000
3212000202101120002221201
43200111212333332100
512421310430313431
6302354205400544
723255151165664
oct3402546777620
9760671502851
10240880713616
119317a979434
123a826569154
131993a9a474a
14b9316288a4
1563ec428461
hex38159bff90

240880713616 has 45 divisors (see below), whose sum is σ = 483468916593. Its totient is φ = 116259756480.

The previous prime is 240880713571. The next prime is 240880713673. The reversal of 240880713616 is 616317088042.

It is a happy number.

The square root of 240880713616 is 490796.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 126312003216 + 114568710400 = 355404^2 + 338480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56930221 + ... + 56934451.

Almost surely, 2240880713616 is an apocalyptic number.

240880713616 is the 490796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240880713616

240880713616 is an abundant number, since it is smaller than the sum of its proper divisors (242588202977).

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

240880713616 is an frugal number, since it uses more digits than its factorization.

240880713616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8528 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 240880713616 in words is "two hundred forty billion, eight hundred eighty million, seven hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 4231 6728 8462 13456 16924 33848 67696 122699 245398 490796 981592 1963184 3558271 7116542 14233084 17901361 28466168 35802722 56932336 71605444 143210888 286421776 519139469 1038278938 2076557876 4153115752 8306231504 15055044601 30110089202 60220178404 120440356808 240880713616