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240288196864 = 28306372
BaseRepresentation
bin1101111111001001001…
…0101110100100000000
3211222020002122010202211
43133302102232210000
512414102234244424
6302215321551504
723234364654622
oct3376222564400
9758202563684
10240288196864
11929a6471871
123a6a0045594
1319874cc9011
14b8b6a6cc12
1563b53d7b94
hex37f24ae900

240288196864 has 27 divisors (see below), whose sum is σ = 479653423977. Its totient is φ = 120140176896.

The previous prime is 240288196859. The next prime is 240288196891. The reversal of 240288196864 is 468691882042.

It is a happy number.

The square root of 240288196864 is 490192.

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., 229096249600 + 11191947264 = 478640^2 + 105792^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 240288196799 and 240288196808.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7827754 + ... + 7858390.

Almost surely, 2240288196864 is an apocalyptic number.

240288196864 is the 490192-nd square number.

It is an amenable number.

240288196864 is a deficient number, since it is larger than the sum of its proper divisors (239365227113).

240288196864 is an frugal number, since it uses more digits than its factorization.

240288196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61290 (or 30639 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 240288196864 in words is "two hundred forty billion, two hundred eighty-eight million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 30637 61274 122548 245096 490192 980384 1960768 3921536 7843072 938625769 1877251538 3754503076 7509006152 15018012304 30036024608 60072049216 120144098432 240288196864