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240565725625 = 542328532
BaseRepresentation
bin1110000000001011010…
…1011010100110111001
3211222221102212001122211
43200002311122212321
512420134311210000
6302303034215121
723244304633441
oct3400265324671
9758842761584
10240565725625
1193029098285
123a758b844a1
13198ba659914
14b901873121
1563ce9587ba
hex3802d5a9b9

240565725625 has 45 divisors (see below), whose sum is σ = 314618070459. Its totient is φ = 183869268000.

The previous prime is 240565725623. The next prime is 240565725649. The reversal of 240565725625 is 526527565042.

The square root of 240565725625 is 490475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 240159783721 + 405941904 = 490061^2 + 20148^2 .

It is not a de Polignac number, because 240565725625 - 21 = 240565725623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240565725623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 282022699 + ... + 282023551.

Almost surely, 2240565725625 is an apocalyptic number.

240565725625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

240565725625 is the 490475-th square number.

240565725625 is the 245238-th centered octagonal number.

It is an amenable number.

240565725625 is a deficient number, since it is larger than the sum of its proper divisors (74052344834).

240565725625 is an frugal number, since it uses more digits than its factorization.

240565725625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 49.

Multiplying 240565725625 by its sum of digits (49), we get a square (11787720555625 = 34333252).

The spelling of 240565725625 in words is "two hundred forty billion, five hundred sixty-five million, seven hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 23 25 115 125 529 575 625 853 2645 2875 4265 13225 14375 19619 21325 66125 98095 106625 330625 451237 490475 533125 727609 2256185 2452375 3638045 11280925 12261875 16735007 18190225 56404625 83675035 90951125 282023125 384905161 418375175 454755625 1924525805 2091875875 9622629025 10459379375 48113145125 240565725625