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11314144413 = 32111320274337
BaseRepresentation
bin10101000100110000…
…00010010010011101
31002012111120002100200
422202120002102131
5141132410110123
65110405214113
7550242432525
oct124230022235
932174502320
1011314144413
1148865a3180
122239101339
1310b4038510
147948c6685
15463444143
hex2a260249d

11314144413 has 48 divisors (see below), whose sum is σ = 19213661376. Its totient is φ = 6325009920.

The previous prime is 11314144399. The next prime is 11314144417. The reversal of 11314144413 is 31444141311.

It is not a de Polignac number, because 11314144413 - 214 = 11314128029 is a prime.

It is a super-2 number, since 2×113141444132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314144417) 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 47 ways as a sum of consecutive naturals, for example, 2606581 + ... + 2610917.

It is an arithmetic number, because the mean of its divisors is an integer number (400284612).

Almost surely, 211314144413 is an apocalyptic number.

11314144413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11314144413 is a deficient number, since it is larger than the sum of its proper divisors (7899516963).

11314144413 is a wasteful number, since it uses less digits than its factorization.

11314144413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6391 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 11314144413 its reverse (31444141311), we get a palindrome (42758285724).

The spelling of 11314144413 in words is "eleven billion, three hundred fourteen million, one hundred forty-four thousand, four hundred thirteen".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 2027 4337 6081 13011 18243 22297 26351 39033 47707 56381 66891 79053 143121 169143 200673 237159 289861 429363 507429 620191 869583 1860573 2608749 5581719 8791099 26373297 79119891 96702089 114284287 290106267 342852861 870318801 1028558583 1257127157 3771381471 11314144413