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1345756457430 = 2325711415219091
BaseRepresentation
bin10011100101010101010…
…101011110100111010110
311202122122002012022210200
4103211111111132213112
5134022102123114210
62510122035201330
7166141046102040
oct23452525364726
94678562168720
101345756457430
11479806488970
12198997146246
1399b9a954318
14491c648aa90
1525015e890c0
hex1395555e9d6

1345756457430 has 384 divisors, whose sum is σ = 4477816691712. Its totient is φ = 272263680000.

The previous prime is 1345756457387. The next prime is 1345756457431. The reversal of 1345756457430 is 347546575431.

1345756457430 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 7 + 5 + 64 + 574 + 3 + 0 = 666.

It is a super-2 number, since 2×13457564574302 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345756457431) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 148027185 + ... + 148036275.

It is an arithmetic number, because the mean of its divisors is an integer number (11660980968).

Almost surely, 21345756457430 is an apocalyptic number.

1345756457430 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 1345756457430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238908345856).

1345756457430 is an abundant number, since it is smaller than the sum of its proper divisors (3132060234282).

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

1345756457430 is a wasteful number, since it uses less digits than its factorization.

1345756457430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684 (or 9681 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 1345756457430 in words is "one trillion, three hundred forty-five billion, seven hundred fifty-six million, four hundred fifty-seven thousand, four hundred thirty".