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40838347225 = 5213231092
BaseRepresentation
bin100110000010001001…
…111011100111011001
310220102002112222200201
4212002021323213121
51132114104102400
630432203302201
72644004136544
oct460211734731
9126362488621
1040838347225
1116357200795
127ab881a961
133b0a970900
141d95a7985b
1510e03d606a
hex98227b9d9

40838347225 has 27 divisors (see below), whose sum is σ = 54852185943. Its totient is φ = 30147848640.

The previous prime is 40838347217. The next prime is 40838347237. The reversal of 40838347225 is 52274383804.

The square root of 40838347225 is 202085.

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

40838347225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 40448047689 + 390299536 = 201117^2 + 19756^2 .

It is not a de Polignac number, because 40838347225 - 23 = 40838347217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13133971 + ... + 13137079.

Almost surely, 240838347225 is an apocalyptic number.

40838347225 is the 202085-th square number.

40838347225 is the 101043-rd centered octagonal number.

It is an amenable number.

40838347225 is a deficient number, since it is larger than the sum of its proper divisors (14013838718).

40838347225 is an frugal number, since it uses more digits than its factorization.

40838347225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 40838347225 in words is "forty billion, eight hundred thirty-eight million, three hundred forty-seven thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 3109 4225 15545 40417 77725 202085 525421 1010425 2627105 9665881 13135525 48329405 125656453 241647025 628282265 1633533889 3141411325 8167669445 40838347225