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1342182603744 = 2532316113717989
BaseRepresentation
bin10011100010000000010…
…100010011101111100000
311202022102000100202012100
4103202000110103233200
5133442242221304434
62504331251130400
7165653351615403
oct23420024235740
94668360322170
101342182603744
114782420a8784
1219815a2a3a00
139974b3ca0b8
1448d67985d3a
1524da733e699
hex13880513be0

1342182603744 has 288 divisors, whose sum is σ = 4033999307520. Its totient is φ = 422732390400.

The previous prime is 1342182603743. The next prime is 1342182603799. The reversal of 1342182603744 is 4473062812431.

1342182603744 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 18 + 260 + 374 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1342182603744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342182603743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74602302 + ... + 74620290.

It is an arithmetic number, because the mean of its divisors is an integer number (14006942040).

Almost surely, 21342182603744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342182603744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016999653760).

1342182603744 is an abundant number, since it is smaller than the sum of its proper divisors (2691816703776).

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

1342182603744 is a wasteful number, since it uses less digits than its factorization.

1342182603744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18234 (or 18223 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1342182603744 in words is "one trillion, three hundred forty-two billion, one hundred eighty-two million, six hundred three thousand, seven hundred forty-four".