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1342957045248 = 2934713231883
BaseRepresentation
bin10011100010101110011…
…110100100011000000000
311202101101222121110020000
4103202232132210120000
5134000334000421443
62504540154120000
7166011504352350
oct23425636443000
94671358543200
101342957045248
114785aa272085
12198335720000
13998429a1800
1448ddc77ab60
1524e003188d3
hex138ae7a4600

1342957045248 has 1200 divisors, whose sum is σ = 5126303609856. Its totient is φ = 342372925440.

The previous prime is 1342957045247. The next prime is 1342957045289. The reversal of 1342957045248 is 8425407592431.

It is a happy number.

1342957045248 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 9 + 570 + 45 + 24 + 8 = 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 = 1342957045194 and 1342957045203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342957045247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1520902215 + ... + 1520903097.

Almost surely, 21342957045248 is an apocalyptic number.

1342957045248 is a gapful number since it is divisible by the number (18) 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 1342957045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563151804928).

1342957045248 is an abundant number, since it is smaller than the sum of its proper divisors (3783346564608).

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

1342957045248 is an equidigital number, since it uses as much as digits as its factorization.

1342957045248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1342957045248 in words is "one trillion, three hundred forty-two billion, nine hundred fifty-seven million, forty-five thousand, two hundred forty-eight".