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1343306014164 = 2232435211665583
BaseRepresentation
bin10011100011000011010…
…001110001110111010100
311202102022022020220120200
4103203003101301313110
5134002042314423124
62505034541500500
7166023242503422
oct23430321616724
94672268226520
101343306014164
11478769252644
12198412571730
139989a0865aa
1449032c5a112
1524e20c9bbc9
hex138c3471dd4

1343306014164 has 72 divisors (see below), whose sum is σ = 3481217131392. Its totient is φ = 436515730560.

The previous prime is 1343306014151. The next prime is 1343306014223. The reversal of 1343306014164 is 4614106033431.

1343306014164 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 0 + 601 + 41 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26284 + ... + 1639299.

It is an arithmetic number, because the mean of its divisors is an integer number (48350237936).

Almost surely, 21343306014164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343306014164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740608565696).

1343306014164 is an abundant number, since it is smaller than the sum of its proper divisors (2137911117228).

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

1343306014164 is a wasteful number, since it uses less digits than its factorization.

1343306014164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666157 (or 1666152 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1343306014164 in words is "one trillion, three hundred forty-three billion, three hundred six million, fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 521 774 1042 1548 1563 2084 3126 4689 6252 9378 18756 22403 44806 67209 89612 134418 201627 268836 403254 806508 1665583 3331166 4996749 6662332 9993498 14990247 19986996 29980494 59960988 71620069 143240138 214860207 286480276 429720414 644580621 859440828 867768743 1289161242 1735537486 2578322484 2603306229 3471074972 5206612458 7809918687 10413224916 15619837374 31239674748 37314055949 74628111898 111942167847 149256223796 223884335694 335826503541 447768671388 671653007082 1343306014164