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1340788909680 = 2432511234334483
BaseRepresentation
bin10011100000101101001…
…111110010011001110000
311202011210212212202100200
4103200231033302121300
5133431413430102210
62503541103315200
7165603666455403
oct23405517623160
94664725782320
101340788909680
11477697426800
12197a2b5abb00
139958874895c
1448c74835d3a
1524d24ce30c0
hex1382d3f2670

1340788909680 has 360 divisors, whose sum is σ = 4951922421264. Its totient is φ = 324872570880.

The previous prime is 1340788909673. The next prime is 1340788909693. The reversal of 1340788909680 is 869098870431.

1340788909680 is a `hidden beast` number, since 1 + 3 + 407 + 88 + 90 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 299080719 + ... + 299085201.

Almost surely, 21340788909680 is an apocalyptic number.

1340788909680 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 1340788909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475961210632).

1340788909680 is an abundant number, since it is smaller than the sum of its proper divisors (3611133511584).

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

1340788909680 is a wasteful number, since it uses less digits than its factorization.

1340788909680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7957 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 1340788909680 in words is "one trillion, three hundred forty billion, seven hundred eighty-eight million, nine hundred nine thousand, six hundred eighty".