Base | Representation |
---|---|
bin | 11000110110100000… |
… | …01001111000011000 |
3 | 1021102211112222221000 |
4 | 30123100021320120 |
5 | 204311040341441 |
6 | 10043531545000 |
7 | 651426106254 |
oct | 143320117030 |
9 | 37384488830 |
10 | 13342121496 |
11 | 57273093a0 |
12 | 27042bb160 |
13 | 1348229b62 |
14 | 907d85264 |
15 | 5314d12b6 |
hex | 31b409e18 |
13342121496 has 128 divisors (see below), whose sum is σ = 41735116800. Its totient is φ = 3912624000.
The previous prime is 13342121491. The next prime is 13342121501. The reversal of 13342121496 is 69412124331.
13342121496 is a `hidden beast` number, since 1 + 3 + 3 + 42 + 121 + 496 = 666.
It is an interprime number because it is at equal distance from previous prime (13342121491) and next prime (13342121501).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 13342121496.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13342121491) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16915 + ... + 164226.
It is an arithmetic number, because the mean of its divisors is an integer number (326055600).
Almost surely, 213342121496 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 13342121496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20867558400).
13342121496 is an abundant number, since it is smaller than the sum of its proper divisors (28392995304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13342121496 is a wasteful number, since it uses less digits than its factorization.
13342121496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 181198 (or 181188 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
It can be divided in two parts, 1334 and 2121496, that added together give a triangular number (2122830 = T2060).
The spelling of 13342121496 in words is "thirteen billion, three hundred forty-two million, one hundred twenty-one thousand, four hundred ninety-six".
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