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1314213332004 = 223312168641963
BaseRepresentation
bin10011000111111101001…
…110000000010000100100
311122122012210020112022000
4103013331032000100210
5133013002103111004
62443424040405300
7163643301002166
oct23077516002044
94578183215260
101314213332004
1146739a189971
12192853476830
1396c1197a971
1447873114936
15242bbb47c39
hex131fd380424

1314213332004 has 24 divisors (see below), whose sum is σ = 3407219749920. Its totient is φ = 438071110632.

The previous prime is 1314213331999. The next prime is 1314213332017. The reversal of 1314213332004 is 4002333124131.

It is a happy number.

1314213332004 is a `hidden beast` number, since 1 + 3 + 1 + 421 + 3 + 33 + 200 + 4 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6084320874 + ... + 6084321089.

It is an arithmetic number, because the mean of its divisors is an integer number (141967489580).

Almost surely, 21314213332004 is an apocalyptic number.

It is an amenable number.

1314213332004 is an abundant number, since it is smaller than the sum of its proper divisors (2093006417916).

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

1314213332004 is a wasteful number, since it uses less digits than its factorization.

1314213332004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168641976 (or 12168641968 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1314213332004 its reverse (4002333124131), we get a palindrome (5316546456135).

The spelling of 1314213332004 in words is "one trillion, three hundred fourteen billion, two hundred thirteen million, three hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 12168641963 24337283926 36505925889 48674567852 73011851778 109517777667 146023703556 219035555334 328553333001 438071110668 657106666002 1314213332004