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1342405332240 = 243577914967883
BaseRepresentation
bin10011100010001101100…
…101111100110100010000
311202022222112110112020220
4103202031211330310100
5133443221231112430
62504405325033040
7165662025024540
oct23421545746420
94668875415226
101342405332240
114783468a4a15
121982009b5780
13997855b16cb
1448d893a3320
1524dbbb88110
hex1388d97cd10

1342405332240 has 320 divisors, whose sum is σ = 4848546816000. Its totient is φ = 300913846272.

The previous prime is 1342405332217. The next prime is 1342405332253. The reversal of 1342405332240 is 422335042431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19741339 + ... + 19809221.

It is an arithmetic number, because the mean of its divisors is an integer number (15151708800).

Almost surely, 21342405332240 is an apocalyptic number.

1342405332240 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 1342405332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424273408000).

1342405332240 is an abundant number, since it is smaller than the sum of its proper divisors (3506141483760).

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

1342405332240 is a wasteful number, since it uses less digits than its factorization.

1342405332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68134 (or 68128 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 1342405332240 in words is "one trillion, three hundred forty-two billion, four hundred five million, three hundred thirty-two thousand, two hundred forty".