Search a number
-
+
1427287744080 = 243351129756299
BaseRepresentation
bin10100110001010000111…
…110101001111001010000
312001110002010200211012000
4110301100332221321100
5141341041130302310
63011404213434000
7205055343436152
oct24612076517120
95043063624160
101427287744080
115003447a4300
121b074b93b900
13a47920b3bc3
144d11c750ad2
15271d8ad24c0
hex14c50fa9e50

1427287744080 has 480 divisors, whose sum is σ = 5459577648000. Its totient is φ = 342435962880.

The previous prime is 1427287744073. The next prime is 1427287744139. The reversal of 1427287744080 is 804477827241.

1427287744080 is a `hidden beast` number, since 1 + 42 + 7 + 2 + 87 + 7 + 440 + 80 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 25323771 + ... + 25380069.

It is an arithmetic number, because the mean of its divisors is an integer number (11374120100).

Almost surely, 21427287744080 is an apocalyptic number.

1427287744080 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 1427287744080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729788824000).

1427287744080 is an abundant number, since it is smaller than the sum of its proper divisors (4032289903920).

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

1427287744080 is a wasteful number, since it uses less digits than its factorization.

1427287744080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56440 (or 56417 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 1427287744080 in words is "one trillion, four hundred twenty-seven billion, two hundred eighty-seven million, seven hundred forty-four thousand, eighty".