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2414753140 = 225532278069
BaseRepresentation
bin1000111111101110…
…0011010101110100
320020021210011120111
42033323203111310
514421134100030
61035340312404
7113561030422
oct21773432564
96207704514
102414753140
11102a079858
12574842704
132c6382b17
1418c9c0112
15e1edc62a
hex8fee3574

2414753140 has 24 divisors (see below), whose sum is σ = 5166662760. Its totient is φ = 947676288.

The previous prime is 2414753129. The next prime is 2414753171. The reversal of 2414753140 is 413574142.

It can be written as a sum of positive squares in 4 ways, for example, as 720278244 + 1694474896 = 26838^2 + 41164^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137975 + ... + 1140094.

It is an arithmetic number, because the mean of its divisors is an integer number (215277615).

Almost surely, 22414753140 is an apocalyptic number.

2414753140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414753140 is an abundant number, since it is smaller than the sum of its proper divisors (2751909620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2414753140 is a wasteful number, since it uses less digits than its factorization.

2414753140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278131 (or 2278129 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 2414753140 is about 49140.1377694446. The cubic root of 2414753140 is about 1341.6036973820.

The spelling of 2414753140 in words is "two billion, four hundred fourteen million, seven hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2278069 4556138 9112276 11390345 22780690 45561380 120737657 241475314 482950628 603688285 1207376570 2414753140