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1312400433141 = 32725095846689
BaseRepresentation
bin10011000110010001001…
…010010101111111110101
311122110112102221201120200
4103012101022111333311
5133000244002330031
62442524115551113
7163550335422600
oct23062112257765
94573472851520
101312400433141
11466649915146
121924282bb499
13969b31c2745
1447740441337
15242128e28e6
hex13191295ff5

1312400433141 has 36 divisors (see below), whose sum is σ = 2209522617900. Its totient is φ = 748469611008.

The previous prime is 1312400433067. The next prime is 1312400433161. The reversal of 1312400433141 is 1413340042131.

It can be written as a sum of positive squares in 2 ways, for example, as 691383935025 + 621016498116 = 831495^2 + 788046^2 .

It is not a de Polignac number, because 1312400433141 - 215 = 1312400400373 is a prime.

It is a super-2 number, since 2×13124004331412 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312400433161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2698876 + ... + 3147813.

It is an arithmetic number, because the mean of its divisors is an integer number (61375628275).

Almost surely, 21312400433141 is an apocalyptic number.

It is an amenable number.

1312400433141 is a deficient number, since it is larger than the sum of its proper divisors (897122184759).

1312400433141 is a wasteful number, since it uses less digits than its factorization.

1312400433141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847218 (or 5847208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1312400433141 its reverse (1413340042131), we get a palindrome (2725740475272).

The spelling of 1312400433141 in words is "one trillion, three hundred twelve billion, four hundred million, four hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 509 1527 3563 4581 10689 24941 32067 74823 224469 5846689 17540067 40926823 52620201 122780469 286487761 368341407 859463283 2578389849 2975964701 8927894103 20831752907 26783682309 62495258721 145822270349 187485776163 437466811047 1312400433141