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1314468594 = 233172236421
BaseRepresentation
bin100111001011001…
…0011001011110010
310101121101220221000
41032112103023302
510143000443334
6334233342430
744400540645
oct11626231362
93347356830
101314468594
11614a8a78a
12308267a16
1317c43278a
14c6809a5c
157a5ec299
hex4e5932f2

1314468594 has 64 divisors (see below), whose sum is σ = 3107220480. Its totient is φ = 410469120.

The previous prime is 1314468581. The next prime is 1314468601. The reversal of 1314468594 is 4958644131.

1314468594 is a `hidden beast` number, since 1 + 3 + 14 + 46 + 8 + 594 = 666.

1314468594 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13144685942 = 3455655369224673672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201504 + ... + 207924.

It is an arithmetic number, because the mean of its divisors is an integer number (48550320).

Almost surely, 21314468594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314468594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553610240).

1314468594 is an abundant number, since it is smaller than the sum of its proper divisors (1792751886).

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

1314468594 is a wasteful number, since it uses less digits than its factorization.

1314468594 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6666 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1314468594 is about 36255.6008638665. The cubic root of 1314468594 is about 1095.4269080376.

The spelling of 1314468594 in words is "one billion, three hundred fourteen million, four hundred sixty-eight thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 223 306 446 459 669 918 1338 2007 3791 4014 6021 6421 7582 11373 12042 12842 19263 22746 34119 38526 57789 68238 102357 109157 115578 173367 204714 218314 327471 346734 654942 982413 1431883 1964826 2863766 2947239 4295649 5894478 8591298 12886947 24342011 25773894 38660841 48684022 73026033 77321682 146052066 219078099 438156198 657234297 1314468594