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1311264362142 = 23373739300143
BaseRepresentation
bin10011000101001101011…
…100100100111010011110
311122100121021020100011000
4103011031130210322132
5132440432134042032
62442215254011130
7163510232114340
oct23051534447236
94570537210130
101311264362142
11466116603199
1219216b946aa6
1396861a22697
14476735d3290
1524197cd3e7c
hex1314d724e9e

1311264362142 has 64 divisors (see below), whose sum is σ = 3339123701760. Its totient is φ = 373642504992.

The previous prime is 1311264362131. The next prime is 1311264362159. The reversal of 1311264362142 is 2412634621131.

1311264362142 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 6 + 436 + 214 + 2 = 666.

It is a super-2 number, since 2×13112643621422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311264362097 and 1311264362106.

It is a congruent number.

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, 4509078 + ... + 4791065.

It is an arithmetic number, because the mean of its divisors is an integer number (52173807840).

Almost surely, 21311264362142 is an apocalyptic number.

1311264362142 is an abundant number, since it is smaller than the sum of its proper divisors (2027859339618).

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

1311264362142 is a wasteful number, since it uses less digits than its factorization.

1311264362142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300534 (or 9300528 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 1311264362142 its reverse (2412634621131), we get a palindrome (3723898983273).

The spelling of 1311264362142 in words is "one trillion, three hundred eleven billion, two hundred sixty-four million, three hundred sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 373 378 746 1119 2238 2611 3357 5222 6714 7833 10071 15666 20142 23499 46998 70497 140994 9300143 18600286 27900429 55800858 65101001 83701287 130202002 167402574 195303003 251103861 390606006 502207722 585909009 1171818018 1757727027 3468953339 3515454054 6937906678 10406860017 20813720034 24282673373 31220580051 48565346746 62441160102 72848020119 93661740153 145696040238 187323480306 218544060357 437088120714 655632181071 1311264362142