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1342375981056 = 212381119239
BaseRepresentation
bin10011100010001011110…
…101111111000000000000
311202022220111020100000000
4103202023311333000000
5133443141222343211
62504402400000000
7165661220400555
oct23421365770000
94668814210000
101342375981056
11478331277a40
121981b3000000
139977c4a5b46
1448d85522a2c
1524db92db656
hex1388bd7f000

1342375981056 has 936 divisors, whose sum is σ = 4642999545600. Its totient is φ = 383758663680.

The previous prime is 1342375981043. The next prime is 1342375981061. The reversal of 1342375981056 is 6501895732431.

It is a happy number.

1342375981056 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 37 + 598 + 10 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1342375980993 and 1342375981011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5616635785 + ... + 5616636023.

It is an arithmetic number, because the mean of its divisors is an integer number (4960469600).

It is a 1-persistent number, because it is pandigital, but 2⋅1342375981056 = 2684751962112 is not.

Almost surely, 21342375981056 is an apocalyptic number.

1342375981056 is a gapful number since it is divisible by the number (16) 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 1342375981056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321499772800).

1342375981056 is an abundant number, since it is smaller than the sum of its proper divisors (3300623564544).

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

1342375981056 is an frugal number, since it uses more digits than its factorization.

1342375981056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1342375981056 in words is "one trillion, three hundred forty-two billion, three hundred seventy-five million, nine hundred eighty-one thousand, fifty-six".