Search a number
-
+
4002998220000 = 253254132131591
BaseRepresentation
bin111010010000000101010…
…010010111010011100000
3112011200102211101001120100
4322100011102113103200
51011041120021020000
612302541344142400
7562131012313233
oct72200522272340
915150384331510
104002998220000
11130373115673a
12547984007a00
13230634008a00
14dba6360141a
156e1d92eba00
hex3a4054974e0

4002998220000 has 540 divisors, whose sum is σ = 15403361677704. Its totient is φ = 985345920000.

The previous prime is 4002998219999. The next prime is 4002998220041. The reversal of 4002998220000 is 228992004.

4002998220000 is a `hidden beast` number, since 400 + 29 + 9 + 8 + 220 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 30354205 + ... + 30485795.

Almost surely, 24002998220000 is an apocalyptic number.

4002998220000 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 4002998220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701680838852).

4002998220000 is an abundant number, since it is smaller than the sum of its proper divisors (11400363457704).

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

4002998220000 is a wasteful number, since it uses less digits than its factorization.

4002998220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131653 (or 131614 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 4002998220000 in words is "four trillion, two billion, nine hundred ninety-eight million, two hundred twenty thousand".