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1264133140413 = 311133063796181
BaseRepresentation
bin10010011001010100001…
…101001110111110111101
311110211221121112012111020
4102121110031032332331
5131202421040443123
62404422412214353
7160221253254543
oct22312415167675
94424847465436
101264133140413
11448130224780
12184bb776a3b9
13922904115c0
1445281cabd93
1522d3a2127e3
hex1265434efbd

1264133140413 has 32 divisors (see below), whose sum is σ = 1980265805952. Its totient is φ = 707176915200.

The previous prime is 1264133140409. The next prime is 1264133140421. The reversal of 1264133140413 is 3140413314621.

It is not a de Polignac number, because 1264133140413 - 22 = 1264133140409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264133140483) by changing a digit.

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, 13095183 + ... + 13191363.

It is an arithmetic number, because the mean of its divisors is an integer number (61883306436).

Almost surely, 21264133140413 is an apocalyptic number.

1264133140413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1264133140413 is a deficient number, since it is larger than the sum of its proper divisors (716132665539).

1264133140413 is a wasteful number, since it uses less digits than its factorization.

1264133140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126845.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 1264133140413 in words is "one trillion, two hundred sixty-four billion, one hundred thirty-three million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 3 11 13 33 39 143 429 30637 91911 96181 288543 337007 398281 1011021 1057991 1194843 1250353 3173973 3751059 4381091 13143273 13753883 41261649 2946697297 8840091891 32413670267 38307064861 97241010801 114921194583 421377713471 1264133140413