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4014414440 = 235313237431
BaseRepresentation
bin1110111101000111…
…0001101001101000
3101100202211101100022
43233101301221220
531210142230230
61502202500012
7201323650121
oct35721615150
911322741308
104014414440
111780039a93
12940504608
134bc8ca67a
142a1227048
151876711e5
hexef471a68

4014414440 has 32 divisors (see below), whose sum is σ = 9323804160. Its totient is φ = 1553966400.

The previous prime is 4014414421. The next prime is 4014414451. The reversal of 4014414440 is 444144104.

It is a super-2 number, since 2×40144144402 = 32231046592161027200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1617476 + ... + 1619955.

It is an arithmetic number, because the mean of its divisors is an integer number (291368880).

Almost surely, 24014414440 is an apocalyptic number.

4014414440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014414440 is an abundant number, since it is smaller than the sum of its proper divisors (5309389720).

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

4014414440 is a wasteful number, since it uses less digits than its factorization.

4014414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237473 (or 3237469 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4014414440 is about 63359.4068785370. The cubic root of 4014414440 is about 1589.3055575334.

Adding to 4014414440 its reverse (444144104), we get a palindrome (4458558544).

The spelling of 4014414440 in words is "four billion, fourteen million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 3237431 6474862 12949724 16187155 25899448 32374310 64748620 100360361 129497240 200720722 401441444 501801805 802882888 1003603610 2007207220 4014414440