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1345744244130 = 2351113232592993
BaseRepresentation
bin10011100101010100100…
…110111000110110100010
311202122121020012211022020
4103211110212320312202
5134022041011303010
62510120521322310
7166140540223536
oct23452446706642
94678536184266
101345744244130
114797aa5a6930
12198993036396
1399b98269210
14491c49cbbc6
1525014d75470
hex139549b8da2

1345744244130 has 192 divisors, whose sum is σ = 3966589049472. Its totient is φ = 288051793920.

The previous prime is 1345744244071. The next prime is 1345744244161. The reversal of 1345744244130 is 314424475431.

It is a super-2 number, since 2×13457442441302 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1972914 + ... + 2565906.

It is an arithmetic number, because the mean of its divisors is an integer number (20659317966).

Almost surely, 21345744244130 is an apocalyptic number.

1345744244130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345744244130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983294524736).

1345744244130 is an abundant number, since it is smaller than the sum of its proper divisors (2620844805342).

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

1345744244130 is a wasteful number, since it uses less digits than its factorization.

1345744244130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593073 (or 593050 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 1345744244130 in words is "one trillion, three hundred forty-five billion, seven hundred forty-four million, two hundred forty-four thousand, one hundred thirty".