Search a number
-
+
3739941241344 = 2933721123139157
BaseRepresentation
bin110110011011000101110…
…111101000001000000000
3111020112102221020221222000
4312123011313220020000
5442233344424210334
611542034424144000
7534126142014300
oct66330567501000
914215387227860
103739941241344
111212111370140
125049aa908000
132118a0b18459
14cd02aa71600
1567440078299
hex366c5de8200

3739941241344 has 1920 divisors, whose sum is σ = 14858948966400. Its totient is φ = 916617461760.

The previous prime is 3739941241331. The next prime is 3739941241391. The reversal of 3739941241344 is 4431421499373.

3739941241344 is a `hidden beast` number, since 3 + 7 + 3 + 99 + 412 + 4 + 134 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23821281714 + ... + 23821281870.

It is an arithmetic number, because the mean of its divisors is an integer number (7739035920).

Almost surely, 23739941241344 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 3739941241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429474483200).

3739941241344 is an abundant number, since it is smaller than the sum of its proper divisors (11119007725056).

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

3739941241344 is a wasteful number, since it uses less digits than its factorization.

3739941241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 342 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 3739941241344 in words is "three trillion, seven hundred thirty-nine billion, nine hundred forty-one million, two hundred forty-one thousand, three hundred forty-four".