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240436257649 = 74100072
BaseRepresentation
bin1101111111101100011…
…1100010001101110001
3211222121102020101222121
43133323013202031301
512414403140221044
6302242131234241
723241143320000
oct3377307421561
9758542211877
10240436257649
1192a71aaa055
123a721748981
1319899899353
14b8cc5b0c37
1563c33d2984
hex37fb1e2371

240436257649 has 15 divisors (see below), whose sum is σ = 280520309657. Its totient is φ = 206067626436.

The previous prime is 240436257643. The next prime is 240436257667. The reversal of 240436257649 is 946752634042.

The square root of 240436257649 is 490343.

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

It is not a de Polignac number, because 240436257649 - 29 = 240436257137 is a prime.

It is a super-2 number, since 2×2404362576492 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240436257596 and 240436257605.

It is not an unprimeable number, because it can be changed into a prime (240436257643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24021804 + ... + 24031810.

Almost surely, 2240436257649 is an apocalyptic number.

240436257649 is the 490343-rd square number.

240436257649 is the 245172-nd centered octagonal number.

It is an amenable number.

240436257649 is a deficient number, since it is larger than the sum of its proper divisors (40084052008).

240436257649 is an frugal number, since it uses more digits than its factorization.

240436257649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20042 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 240436257649 in words is "two hundred forty billion, four hundred thirty-six million, two hundred fifty-seven thousand, six hundred forty-nine".

Divisors: 1 7 49 343 2401 10007 70049 490343 3432401 24026807 100140049 700980343 4906862401 34348036807 240436257649