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11424142314 = 234135424569
BaseRepresentation
bin10101010001110111…
…01001001111101010
31002111011112120010000
422220323221033222
5141344040023224
65125335003430
7553046415234
oct125073511752
932434476100
1011424142314
1149326a3232
122269b09576
131100a6c930
147a535b254
1546ce210c9
hex2a8ee93ea

11424142314 has 40 divisors (see below), whose sum is σ = 27567664740. Its totient is φ = 3515120064.

The previous prime is 11424142267. The next prime is 11424142357. The reversal of 11424142314 is 41324142411.

11424142314 is a `hidden beast` number, since 1 + 1 + 424 + 1 + 4 + 231 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11399192289 + 24950025 = 106767^2 + 4995^2 .

It is a super-2 number, since 2×114241423142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 2710179 + ... + 2714390.

Almost surely, 211424142314 is an apocalyptic number.

11424142314 is an abundant number, since it is smaller than the sum of its proper divisors (16143522426).

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

11424142314 is a wasteful number, since it uses less digits than its factorization.

11424142314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424596 (or 5424587 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 11424142314 its reverse (41324142411), we get a palindrome (52748284725).

The spelling of 11424142314 in words is "eleven billion, four hundred twenty-four million, one hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 5424569 10849138 16273707 32547414 48821121 70519397 97642242 141038794 146463363 211558191 292926726 423116382 439390089 634674573 878780178 1269349146 1904023719 3808047438 5712071157 11424142314