Search a number
-
+
3224044136880 = 2432572195638543
BaseRepresentation
bin101110111010101000000…
…000010110100110110000
3102102012211011211200001200
4232322220000112212300
5410310320244340010
610505034434531200
7451633550666400
oct56725000264660
912365734750050
103224044136880
111033344956886
12440a11a36b00
131a504532cbb8
14b208a422800
1558ce89c6cc0
hex2eea80169b0

3224044136880 has 720 divisors, whose sum is σ = 13283162680320. Its totient is φ = 696817271808.

The previous prime is 3224044136791. The next prime is 3224044136917. The reversal of 3224044136880 is 886314404223.

It is a happy number.

3224044136880 is a `hidden beast` number, since 3 + 2 + 240 + 4 + 41 + 368 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×32240441368802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 377385889 + ... + 377394431.

It is an arithmetic number, because the mean of its divisors is an integer number (18448837056).

Almost surely, 23224044136880 is an apocalyptic number.

3224044136880 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 3224044136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641581340160).

3224044136880 is an abundant number, since it is smaller than the sum of its proper divisors (10059118543440).

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

3224044136880 is a wasteful number, since it uses less digits than its factorization.

3224044136880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9158 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3224044136880 in words is "three trillion, two hundred twenty-four billion, forty-four million, one hundred thirty-six thousand, eight hundred eighty".