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1345384091880 = 23335109106910691
BaseRepresentation
bin10011100100111111001…
…001000001000011101000
311202121200010112012022000
4103210333021001003220
5134020321311420010
62510021054131000
7166125605044143
oct23447711010350
94677603465260
101345384091880
11479635278144
121988b24b0a60
1399b3b76a08a
144918cc3b05a
1524ee34337c0
hex1393f2410e8

1345384091880 has 256 divisors, whose sum is σ = 4530414240000. Its totient is φ = 355111879680.

The previous prime is 1345384091819. The next prime is 1345384091939. The reversal of 1345384091880 is 881904835431.

1345384091880 is a `hidden beast` number, since 1 + 3 + 4 + 53 + 8 + 409 + 188 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125837335 + ... + 125848025.

It is an arithmetic number, because the mean of its divisors is an integer number (17696930625).

Almost surely, 21345384091880 is an apocalyptic number.

1345384091880 is a gapful number since it is divisible by the number (10) 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 1345384091880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265207120000).

1345384091880 is an abundant number, since it is smaller than the sum of its proper divisors (3185030148120).

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

1345384091880 is a wasteful number, since it uses less digits than its factorization.

1345384091880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11889 (or 11879 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1345384091880 in words is "one trillion, three hundred forty-five billion, three hundred eighty-four million, ninety-one thousand, eight hundred eighty".