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114916809 = 3722341829
BaseRepresentation
bin1101101100101…
…11110111001001
322000020101020010
412312113313021
5213404314214
615223022133
72563530300
oct666276711
9260211203
10114916809
115995a777
123259a949
131aa67317
1411395437
15a14e659
hex6d97dc9

114916809 has 48 divisors (see below), whose sum is σ = 190753920. Its totient is φ = 61205760.

The previous prime is 114916801. The next prime is 114916817. The reversal of 114916809 is 908619411.

It is an interprime number because it is at equal distance from previous prime (114916801) and next prime (114916817).

It is not a de Polignac number, because 114916809 - 23 = 114916801 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114916801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 138207 + ... + 139035.

It is an arithmetic number, because the mean of its divisors is an integer number (3974040).

Almost surely, 2114916809 is an apocalyptic number.

It is an amenable number.

114916809 is a deficient number, since it is larger than the sum of its proper divisors (75837111).

114916809 is a wasteful number, since it uses less digits than its factorization.

114916809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 114916809 is about 10719.9257926536. The cubic root of 114916809 is about 486.1771230295.

The spelling of 114916809 in words is "one hundred fourteen million, nine hundred sixteen thousand, eight hundred nine".

Divisors: 1 3 7 21 23 41 49 69 123 147 161 287 483 829 861 943 1127 2009 2487 2829 3381 5803 6027 6601 17409 19067 19803 33989 40621 46207 57201 101967 121863 133469 138621 237923 400407 713769 781747 934283 1665461 2345241 2802849 4996383 5472229 16416687 38305603 114916809