Search a number
-
+
542142560000 = 285467103491
BaseRepresentation
bin1111110001110100011…
…01101111011100000000
31220211100211212120112002
413320322031233130000
532340301443410000
61053020140323132
754111540503636
oct7707215573400
91824324776462
10542142560000
11199a15383588
12890a25434a8
133c17c070002
141c350199356
15e18078c8d5
hex7e3a36f700

542142560000 has 360 divisors, whose sum is σ = 1388606803584. Its totient is φ = 211115520000.

The previous prime is 542142559997. The next prime is 542142560021. The reversal of 542142560000 is 65241245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1104159755 + ... + 1104160245.

Almost surely, 2542142560000 is an apocalyptic number.

542142560000 is a gapful number since it is divisible by the number (50) 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 542142560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694303401792).

542142560000 is an abundant number, since it is smaller than the sum of its proper divisors (846464243584).

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

542142560000 is an equidigital number, since it uses as much as digits as its factorization.

542142560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 542142560000 in words is "five hundred forty-two billion, one hundred forty-two million, five hundred sixty thousand".