Search a number
-
+
42342410000 = 2454111722643
BaseRepresentation
bin100111011011110011…
…011110011100010000
311001021220201021221102
4213123303132130100
51143204124110000
631241332443532
73026166355322
oct473363363420
9131256637842
1042342410000
1116a59206380
1282584795a8
133cba456197
142099719612
15117c4843d5
hex9dbcde710

42342410000 has 200 divisors, whose sum is σ = 118418518944. Its totient is φ = 14490880000.

The previous prime is 42342409999. The next prime is 42342410029. The reversal of 42342410000 is 1424324.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1858679 + ... + 1881321.

Almost surely, 242342410000 is an apocalyptic number.

42342410000 is a gapful number since it is divisible by the number (40) 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 42342410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59209259472).

42342410000 is an abundant number, since it is smaller than the sum of its proper divisors (76076108944).

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

42342410000 is a wasteful number, since it uses less digits than its factorization.

42342410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22699 (or 22678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42342410000 its reverse (1424324), we get a palindrome (42343834324).

The spelling of 42342410000 in words is "forty-two billion, three hundred forty-two million, four hundred ten thousand".