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140414625 = 3253139601
BaseRepresentation
bin10000101111010…
…00111010100001
3100210012210122200
420113220322201
5241421232000
621533323413
73323335041
oct1027507241
9323183580
10140414625
117229564a
123b036569
1323123ca0
1414911721
15c4d9500
hex85e8ea1

140414625 has 48 divisors (see below), whose sum is σ = 272619984. Its totient is φ = 69120000.

The previous prime is 140414597. The next prime is 140414653. The reversal of 140414625 is 526414041.

It is an interprime number because it is at equal distance from previous prime (140414597) and next prime (140414653).

It can be written as a sum of positive squares in 8 ways, for example, as 52186176 + 88228449 = 7224^2 + 9393^2 .

It is not a de Polignac number, because 140414625 - 214 = 140398241 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9825 + ... + 19425.

It is an arithmetic number, because the mean of its divisors is an integer number (5679583).

Almost surely, 2140414625 is an apocalyptic number.

140414625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140414625 is a deficient number, since it is larger than the sum of its proper divisors (132205359).

140414625 is a wasteful number, since it uses less digits than its factorization.

140414625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9635 (or 9622 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 140414625 is about 11849.6677168602. The cubic root of 140414625 is about 519.7615092260.

Adding to 140414625 its reverse (526414041), we get a palindrome (666828666).

The spelling of 140414625 in words is "one hundred forty million, four hundred fourteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2925 4875 9601 14625 28803 48005 86409 124813 144015 240025 374439 432045 624065 720075 1123317 1200125 1872195 2160225 3120325 3600375 5616585 9360975 10801125 15601625 28082925 46804875 140414625