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1314200133204 = 2237311094630139
BaseRepresentation
bin10011000111111100011…
…011101001111001010100
311122122011212101221221120
4103013330123221321110
5133012440213230304
62443422445443540
7163643050550550
oct23077433517124
94578155357846
101314200133204
11467392794472
1219284ab705b0
1396c0c00911a
144787147a860
15242ba8dc0d9
hex131fc6e9e54

1314200133204 has 96 divisors (see below), whose sum is σ = 3650772787200. Its totient is φ = 360039530880.

The previous prime is 1314200133161. The next prime is 1314200133227. The reversal of 1314200133204 is 4023310024131.

It is a happy number.

It is a super-2 number, since 2×13142001332042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2031234 + ... + 2598905.

It is an arithmetic number, because the mean of its divisors is an integer number (38028883200).

Almost surely, 21314200133204 is an apocalyptic number.

1314200133204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1314200133204 is an abundant number, since it is smaller than the sum of its proper divisors (2336572653996).

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

1314200133204 is a wasteful number, since it uses less digits than its factorization.

1314200133204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630293 (or 4630291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1314200133204 its reverse (4023310024131), we get a palindrome (5337510157335).

The spelling of 1314200133204 in words is "one trillion, three hundred fourteen billion, two hundred million, one hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 109 124 186 217 218 327 372 434 436 651 654 763 868 1302 1308 1526 2289 2604 3052 3379 4578 6758 9156 10137 13516 20274 23653 40548 47306 70959 94612 141918 283836 4630139 9260278 13890417 18520556 27780834 32410973 55561668 64821946 97232919 129643892 143534309 194465838 287068618 388931676 430602927 504685151 574137236 861205854 1004740163 1009370302 1514055453 1722411708 2009480326 2018740604 3014220489 3028110906 3532796057 4018960652 6028440978 6056221812 7065592114 10598388171 12056881956 14131184228 15645239681 21196776342 31290479362 42393552684 46935719043 62580958724 93871438086 109516677767 187742876172 219033355534 328550033301 438066711068 657100066602 1314200133204