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142683742080 = 2734511223243
BaseRepresentation
bin1000010011100010011…
…1010001111110000000
3111122021212122002210000
42010320213101332000
54314204014221310
6145314211440000
713210556540145
oct2047047217600
9448255562700
10142683742080
115556a286300
12237a05b6000
13105bb8a5669
146c97c2c3cc
153aa16444c0
hex21389d1f80

142683742080 has 1440 divisors, whose sum is σ = 599109560280. Its totient is φ = 32316641280.

The previous prime is 142683742021. The next prime is 142683742087. The reversal of 142683742080 is 80247386241.

It is a happy number.

142683742080 is a `hidden beast` number, since 1 + 426 + 83 + 74 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142683742087) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3318226539 + ... + 3318226581.

Almost surely, 2142683742080 is an apocalyptic number.

142683742080 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 142683742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299554780140).

142683742080 is an abundant number, since it is smaller than the sum of its proper divisors (456425818200).

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

142683742080 is a wasteful number, since it uses less digits than its factorization.

142683742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 142683742080 in words is "one hundred forty-two billion, six hundred eighty-three million, seven hundred forty-two thousand, eighty".