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4014087456 = 253367113933
BaseRepresentation
bin1110111101000010…
…0001110100100000
3101100202012202210210
43233100201310200
531210101244311
61502151454120
7201321115611
oct35720416440
911322182723
104014087456
11177a936355
12940387340
134bc8148a2
142a117dc08
151876093a6
hexef421d20

4014087456 has 48 divisors (see below), whose sum is σ = 10565783424. Its totient is φ = 1334371584.

The previous prime is 4014087449. The next prime is 4014087457. The reversal of 4014087456 is 6547804104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40140874562 = 32225796208833103872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014087457) 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, 21735 + ... + 92198.

It is an arithmetic number, because the mean of its divisors is an integer number (220120488).

Almost surely, 24014087456 is an apocalyptic number.

It is an amenable number.

4014087456 is an abundant number, since it is smaller than the sum of its proper divisors (6551695968).

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

4014087456 is a wasteful number, since it uses less digits than its factorization.

4014087456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114313 (or 114305 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 4014087456 is about 63356.8264356731. The cubic root of 4014087456 is about 1589.2624054036.

The spelling of 4014087456 in words is "four billion, fourteen million, eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 367 734 1101 1468 2202 2936 4404 5872 8808 11744 17616 35232 113933 227866 341799 455732 683598 911464 1367196 1822928 2734392 3645856 5468784 10937568 41813411 83626822 125440233 167253644 250880466 334507288 501760932 669014576 1003521864 1338029152 2007043728 4014087456