Search a number
-
+
3136320000000 = 2123457112
BaseRepresentation
bin101101101000111011001…
…111010101000000000000
3102002211101112101210020000
4231220323033111000000
5402341140410000000
610400445554120000
7442406635065315
oct55507317250000
912084345353200
103136320000000
11aaa118970400
12427a0b280000
131999a4b816b5
14abb278acd0c
15568b2350000
hex2da3b3d5000

3136320000000 has 1560 divisors, whose sum is σ = 12872795463528. Its totient is φ = 760320000000.

The previous prime is 3136319999999. The next prime is 3136320000101. The reversal of 3136320000000 is 236313.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3136320000000 is a `hidden beast` number, since 31 + 3 + 632 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3102558142464 + 33761857536 = 1761408^2 + 183744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 285119999995 + ... + 285120000005.

Almost surely, 23136320000000 is an apocalyptic number.

3136320000000 is a gapful number since it is divisible by the number (30) 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 3136320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436397731764).

3136320000000 is an abundant number, since it is smaller than the sum of its proper divisors (9736475463528).

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

3136320000000 is an frugal number, since it uses more digits than its factorization.

3136320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3136320000000 its reverse (236313), we get a palindrome (3136320236313).

The spelling of 3136320000000 in words is "three trillion, one hundred thirty-six billion, three hundred twenty million", and thus it is an aban number.