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4132442314 = 27111317121421
BaseRepresentation
bin1111011001010000…
…0001000011001010
3101122222220211011001
43312110001003022
531430401123224
61522020325214
7204256115530
oct36624010312
911588824131
104132442314
111830724090
12973b4380a
1350b1b3a50
142b2b8c150
15192bd7544
hexf65010ca

4132442314 has 64 divisors (see below), whose sum is σ = 8812323072. Its totient is φ = 1398758400.

The previous prime is 4132442311. The next prime is 4132442317.

4132442314 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4132442311) and next prime (4132442317).

It is not an unprimeable number, because it can be changed into a prime (4132442311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26677 + ... + 94744.

It is an arithmetic number, because the mean of its divisors is an integer number (137692548).

Almost surely, 24132442314 is an apocalyptic number.

4132442314 is an abundant number, since it is smaller than the sum of its proper divisors (4679880758).

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

4132442314 is a wasteful number, since it uses less digits than its factorization.

4132442314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121471.

The product of its digits is 9216, while the sum is 28.

The square root of 4132442314 is about 64284.0751197371. The cubic root of 4132442314 is about 1604.7310896741.

It can be divided in two parts, 41324 and 42314, that added together give a palindrome (83638).

The spelling of 4132442314 in words is "four billion, one hundred thirty-two million, four hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 143 154 182 187 221 238 286 374 442 1001 1309 1547 2002 2431 2618 3094 4862 17017 34034 121421 242842 849947 1335631 1578473 1699894 2064157 2671262 3156946 4128314 9349417 11049311 14449099 17363203 18698834 22098622 22705727 26834041 28898198 34726406 45411454 53668082 121542421 158940089 187838287 243084842 295174451 317880178 375676574 590348902 2066221157 4132442314