Search a number
-
+
14360444032 = 271116636133
BaseRepresentation
bin11010101111111001…
…01111110010000000
31101001210201010211111
431113330233302000
5213402233202112
610332550053104
71015602521524
oct152774576200
941053633744
1014360444032
1160aa107170
12294934a194
13147b1b0a7c
149a3301d84
15590ad15a7
hex357f2fc80

14360444032 has 64 divisors (see below), whose sum is σ = 31233346560. Its totient is φ = 6522485760.

The previous prime is 14360444029. The next prime is 14360444041. The reversal of 14360444032 is 23044406341.

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

It is a super-3 number, since 3×143604440323 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14360443985 and 14360444003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2338438 + ... + 2344570.

It is an arithmetic number, because the mean of its divisors is an integer number (488021040).

Almost surely, 214360444032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14360444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616673280).

14360444032 is an abundant number, since it is smaller than the sum of its proper divisors (16872902528).

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

14360444032 is a wasteful number, since it uses less digits than its factorization.

14360444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The spelling of 14360444032 in words is "fourteen billion, three hundred sixty million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1663 3326 6133 6652 12266 13304 18293 24532 26608 36586 49064 53216 67463 73172 98128 106432 134926 146344 196256 212864 269852 292688 392512 539704 585376 785024 1079408 1170752 2158816 2341504 4317632 8635264 10199179 20398358 40796716 81593432 112190969 163186864 224381938 326373728 448763876 652747456 897527752 1305494912 1795055504 3590111008 7180222016 14360444032