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3140534781384 = 2337113136189199
BaseRepresentation
bin101101101100110110011…
…101011100010111001000
3102010020021021020212100020
4231230312131130113020
5402423303401001014
610402424115340440
7442616244121560
oct55546635342710
912106237225306
103140534781384
111000991013000
124287a68b1720
1319a1c7134390
14ac007571da0
1556a5c39e1a9
hex2db3675c5c8

3140534781384 has 1024 divisors, whose sum is σ = 10979297280000. Its totient is φ = 728629862400.

The previous prime is 3140534781379. The next prime is 3140534781451. The reversal of 3140534781384 is 4831874350413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15781581717 + ... + 15781581915.

It is an arithmetic number, because the mean of its divisors is an integer number (10721970000).

Almost surely, 23140534781384 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 3140534781384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489648640000).

3140534781384 is an abundant number, since it is smaller than the sum of its proper divisors (7838762498616).

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

3140534781384 is a wasteful number, since it uses less digits than its factorization.

3140534781384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 3140534781384 in words is "three trillion, one hundred forty billion, five hundred thirty-four million, seven hundred eighty-one thousand, three hundred eighty-four".