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1314427392000 = 212335395083
BaseRepresentation
bin10011001000001001111…
…110100101000000000000
311122122202201000220102000
4103020021332211000000
5133013421403021000
62443501204424000
7163651510325622
oct23101176450000
94578681026360
101314427392000
11467499aa5358
121928b30a8000
1396c47118798
1447893716c12
15242d082d000
hex13209fa5000

1314427392000 has 416 divisors, whose sum is σ = 4859918194560. Its totient is φ = 350510284800.

The previous prime is 1314427391999. The next prime is 1314427392011. The reversal of 1314427392000 is 2937244131.

It is a happy number.

1314427392000 is a `hidden beast` number, since 1 + 3 + 1 + 442 + 7 + 3 + 9 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13776459 + ... + 13871541.

It is an arithmetic number, because the mean of its divisors is an integer number (11682495660).

Almost surely, 21314427392000 is an apocalyptic number.

1314427392000 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 1314427392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429959097280).

1314427392000 is an abundant number, since it is smaller than the sum of its proper divisors (3545490802560).

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

1314427392000 is an frugal number, since it uses more digits than its factorization.

1314427392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95131 (or 95093 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1314427392000 in words is "one trillion, three hundred fourteen billion, four hundred twenty-seven million, three hundred ninety-two thousand".