Search a number
-
+
1309402699488 = 2532131947391639
BaseRepresentation
bin10011000011011110011…
…110111001011011100000
311122011210112012002002100
4103003132132321123200
5132423124042340423
62441310432050400
7163413135206412
oct23033636713340
94564715162070
101309402699488
11465350762514
12191930393a00
1396626122950
14475382689b2
15240d964a343
hex130de7b96e0

1309402699488 has 288 divisors, whose sum is σ = 4310922470400. Its totient is φ = 373566256128.

The previous prime is 1309402699481. The next prime is 1309402699499. The reversal of 1309402699488 is 8849962049031.

1309402699488 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 40 + 26 + 99 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309402699481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3147573 + ... + 3539211.

It is an arithmetic number, because the mean of its divisors is an integer number (14968480800).

Almost surely, 21309402699488 is an apocalyptic number.

1309402699488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309402699488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155461235200).

1309402699488 is an abundant number, since it is smaller than the sum of its proper divisors (3001519770912).

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

1309402699488 is a wasteful number, since it uses less digits than its factorization.

1309402699488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391734 (or 391723 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 1309402699488 in words is "one trillion, three hundred nine billion, four hundred two million, six hundred ninety-nine thousand, four hundred eighty-eight".