Search a number
-
+
4014595968 = 27317614981
BaseRepresentation
bin1110111101001001…
…1101111110000000
3101100210011121100120
43233102131332000
531210214032333
61502210420240
7201325334265
oct35722357600
911323147316
104014595968
111780153409
12940591680
134bc962196
142a127326c
151876a9db3
hexef49df80

4014595968 has 64 divisors (see below), whose sum is σ = 11291069520. Its totient is φ = 1259479040.

The previous prime is 4014595919. The next prime is 4014595979. The reversal of 4014595968 is 8695954104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40145959682 = 32233961572563714048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4014595968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300963 + ... + 314018.

Almost surely, 24014595968 is an apocalyptic number.

4014595968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4014595968 is an abundant number, since it is smaller than the sum of its proper divisors (7276473552).

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

4014595968 is a wasteful number, since it uses less digits than its factorization.

4014595968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615015 (or 615003 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 4014595968 is about 63360.8393883793. The cubic root of 4014595968 is about 1589.3295128005.

The spelling of 4014595968 in words is "four billion, fourteen million, five hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 614981 1229962 1844943 2459924 3689886 4919848 7379772 9839696 10454677 14759544 19679392 20909354 29519088 31364031 39358784 41818708 59038176 62728062 78717568 83637416 118076352 125456124 167274832 236152704 250912248 334549664 501824496 669099328 1003648992 1338198656 2007297984 4014595968