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4014314320 = 245172329123
BaseRepresentation
bin1110111101000101…
…1001001101010000
3101100202122022000011
43233101121031100
531210131024240
61502200404304
7201323052202
oct35721311520
911322568004
104014314320
11177aa80845
12940476694
134bc893c23
142a11dc772
151876516ea
hexef459350

4014314320 has 40 divisors (see below), whose sum is σ = 9339018336. Its totient is φ = 1604738688.

The previous prime is 4014314267. The next prime is 4014314327. The reversal of 4014314320 is 234134104.

4014314320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40143143202 = 32229438919514124800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014314291 and 4014314300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014314327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123279 + ... + 152401.

Almost surely, 24014314320 is an apocalyptic number.

4014314320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014314320 is an abundant number, since it is smaller than the sum of its proper divisors (5324704016).

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

4014314320 is a wasteful number, since it uses less digits than its factorization.

4014314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30859 (or 30853 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4014314320 is about 63358.6167778306. The cubic root of 4014314320 is about 1589.2923449302.

Adding to 4014314320 its reverse (234134104), we get a palindrome (4248448424).

The spelling of 4014314320 in words is "four billion, fourteen million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1723 3446 6892 8615 13784 17230 27568 29123 34460 58246 68920 116492 137840 145615 232984 291230 465968 582460 1164920 2329840 50178929 100357858 200715716 250894645 401431432 501789290 802862864 1003578580 2007157160 4014314320