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3122130231440 = 2451119417389701
BaseRepresentation
bin101101011011101101011…
…101101010000010010000
3102001110202121211212010022
4231123231131222002100
5402123110314401230
610350141542123012
7441365204044553
oct55335535520220
912043677755108
103122130231440
11aa40a7138250
1242510b120468
1319855315b53c
14ab17d11869a
15563317341e5
hex2d6ed76a090

3122130231440 has 640 divisors, whose sum is σ = 8765663961600. Its totient is φ = 1021870080000.

The previous prime is 3122130231323. The next prime is 3122130231503. The reversal of 3122130231440 is 441320312213.

3122130231440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4453823090 + ... + 4453823790.

It is an arithmetic number, because the mean of its divisors is an integer number (13696349940).

Almost surely, 23122130231440 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 3122130231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382831980800).

3122130231440 is an abundant number, since it is smaller than the sum of its proper divisors (5643533730160).

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

3122130231440 is a wasteful number, since it uses less digits than its factorization.

3122130231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 3122130231440 its reverse (441320312213), we get a palindrome (3563450543653).

The spelling of 3122130231440 in words is "three trillion, one hundred twenty-two billion, one hundred thirty million, two hundred thirty-one thousand, four hundred forty".