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15243410000000 = 275772132393
BaseRepresentation
bin1101110111010010001000…
…0010011100100010000000
31222222020220110012112211202
43131310202002130202000
53444222000430000000
652230420442400332
73132204624101300
oct335644202344200
958866813175752
1015243410000000
11494776a606236
1218623372000a8
138675a7c08890
143a9adbdb5600
151b67b1b50dd5
hexddd2209c880

15243410000000 has 768 divisors, whose sum is σ = 47573614539360. Its totient is φ = 4822272000000.

The previous prime is 15243409999999. The next prime is 15243410000033. The reversal of 15243410000000 is 1434251.

It can be written as a sum of positive squares in 16 ways, for example, as 10102887678016 + 5140522321984 = 3178504^2 + 2267272^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6369998804 + ... + 6370001196.

Almost surely, 215243410000000 is an apocalyptic number.

15243410000000 is a gapful number since it is divisible by the number (10) 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 15243410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23786807269680).

15243410000000 is an abundant number, since it is smaller than the sum of its proper divisors (32330204539360).

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

15243410000000 is an frugal number, since it uses more digits than its factorization.

15243410000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 15243410000000 its reverse (1434251), we get a palindrome (15243411434251).

The spelling of 15243410000000 in words is "fifteen trillion, two hundred forty-three billion, four hundred ten million", and thus it is an aban number.