Search a number
-
+
32001420000 = 253541148487
BaseRepresentation
bin11101110011011011…
…101110101011100000
310001121020022120110210
4131303123232223200
51011014330420000
622411245254120
72212011403404
oct356333565340
9101536276423
1032001420000
1112631a70550
126251264340
13302cc188a4
141798193104
15c746bc350
hex7736eeae0

32001420000 has 240 divisors, whose sum is σ = 114516243072. Its totient is φ = 7757760000.

The previous prime is 32001419993. The next prime is 32001420071. The reversal of 32001420000 is 2410023.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 635757 + ... + 684243.

Almost surely, 232001420000 is an apocalyptic number.

32001420000 is a gapful number since it is divisible by the number (30) 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 32001420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57258121536).

32001420000 is an abundant number, since it is smaller than the sum of its proper divisors (82514823072).

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

32001420000 is a wasteful number, since it uses less digits than its factorization.

32001420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48531 (or 48508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 32001420000 its reverse (2410023), we get a palindrome (32003830023).

The spelling of 32001420000 in words is "thirty-two billion, one million, four hundred twenty thousand".