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4014130240 = 26512544157
BaseRepresentation
bin1110111101000010…
…1100010001000000
3101100202021221111101
43233100230101000
531210104131430
61502152424144
7201321354421
oct35720542100
911322257441
104014130240
11177a96550a
129403a8054
134bc82b1c3
142a1191648
15187616dca
hexef42c440

4014130240 has 28 divisors (see below), whose sum is σ = 9558648396. Its totient is φ = 1605651968.

The previous prime is 4014130231. The next prime is 4014130261. The reversal of 4014130240 is 420314104.

It can be written as a sum of positive squares in 2 ways, for example, as 3143172096 + 870958144 = 56064^2 + 29512^2 .

It is a super-2 number, since 2×40141302402 = 32226483167364915200, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 6271759 + ... + 6272398.

Almost surely, 24014130240 is an apocalyptic number.

4014130240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014130240 is an abundant number, since it is smaller than the sum of its proper divisors (5544518156).

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

4014130240 is a wasteful number, since it uses less digits than its factorization.

4014130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544174 (or 12544164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4014130240 is about 63357.1640779478. The cubic root of 4014130240 is about 1589.2680517481.

Adding to 4014130240 its reverse (420314104), we get a palindrome (4434444344).

The spelling of 4014130240 in words is "four billion, fourteen million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 12544157 25088314 50176628 62720785 100353256 125441570 200706512 250883140 401413024 501766280 802826048 1003532560 2007065120 4014130240