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11314304442 = 2327167547983
BaseRepresentation
bin10101000100110001…
…01001010110111010
31002012111212012212200
422202120221112322
5141132430220232
65110412451030
7550244000220
oct124230512672
932174765780
1011314304442
1148866a2431
122239179a76
1310b40932cc
14794928b10
1546347677c
hex2a26295ba

11314304442 has 96 divisors (see below), whose sum is σ = 28264384512. Its totient is φ = 3204163872.

The previous prime is 11314304413. The next prime is 11314304459. The reversal of 11314304442 is 24440341311.

11314304442 is a `hidden beast` number, since 1 + 1 + 314 + 304 + 4 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11509483 + ... + 11510465.

It is an arithmetic number, because the mean of its divisors is an integer number (294420672).

Almost surely, 211314304442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314304442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132192256).

11314304442 is an abundant number, since it is smaller than the sum of its proper divisors (16950080070).

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

11314304442 is a wasteful number, since it uses less digits than its factorization.

11314304442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11314304442 its reverse (24440341311), we get a palindrome (35754645753).

The spelling of 11314304442 in words is "eleven billion, three hundred fourteen million, three hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 334 501 547 983 1002 1094 1169 1503 1641 1966 2338 2949 3006 3282 3507 3829 4923 5898 6881 7014 7658 8847 9846 10521 11487 13762 17694 20643 21042 22974 34461 41286 61929 68922 91349 123858 164161 182698 274047 328322 492483 537701 548094 639443 822141 984966 1075402 1149127 1278886 1477449 1613103 1644282 1918329 2298254 2954898 3226206 3447381 3763907 3836658 4839309 5754987 6894762 7527814 9678618 10342143 11291721 11509974 20684286 22583442 33875163 67750326 89796067 179592134 269388201 538776402 628572469 808164603 1257144938 1616329206 1885717407 3771434814 5657152221 11314304442