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240438219025 = 5228123492
BaseRepresentation
bin1101111111101100111…
…1000001000100010001
3211222121112221001111011
43133323033001010101
512414404141002100
6302242241250521
723241166066204
oct3377317010421
9758545831434
10240438219025
1192a73119724
123a722333a41
131989a105024
14b8cc96193b
1563c366dbba
hex37fb3c1111

240438219025 has 27 divisors (see below), whose sum is σ = 300067962483. Its totient is φ = 191116867200.

The previous prime is 240438218983. The next prime is 240438219029. The reversal of 240438219025 is 520912834042.

The square root of 240438219025 is 490345.

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

It can be written as a sum of positive squares in 13 ways, for example, as 56108818129 + 184329400896 = 236873^2 + 429336^2 .

It is not a de Polignac number, because 240438219025 - 233 = 231848284433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240438219029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 688934551 + ... + 688934899.

Almost surely, 2240438219025 is an apocalyptic number.

240438219025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

240438219025 is the 490345-th square number.

240438219025 is the 245173-rd centered octagonal number.

It is an amenable number.

240438219025 is a deficient number, since it is larger than the sum of its proper divisors (59629743458).

240438219025 is an frugal number, since it uses more digits than its factorization.

240438219025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 240438219025 in words is "two hundred forty billion, four hundred thirty-eight million, two hundred nineteen thousand, twenty-five".

Divisors: 1 5 25 281 349 1405 1745 7025 8725 78961 98069 121801 394805 490345 609005 1974025 2451725 3045025 27557389 34226081 137786945 171130405 688934725 855652025 9617528761 48087643805 240438219025