Search a number
-
+
42031221230000 = 2454531134211667
BaseRepresentation
bin10011000111010001010000…
…00000101100100110110000
312111211010221002000200021102
421203220220000230212300
521002114420113330000
6225220513152343532
711565440562450002
oct1143505000544660
9174733832020242
1042031221230000
11124353826a6082
124869b22b44ba8
131a5b6b120c612
14a5447166c372
154cd4ddb543d5
hex263a2802c9b0

42031221230000 has 400 divisors, whose sum is σ = 104910712400736. Its totient is φ = 16300677120000.

The previous prime is 42031221229981. The next prime is 42031221230021. The reversal of 42031221230000 is 3212213024.

It is a tau number, because it is divible by the number of its divisors (400).

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

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 79 ways as a sum of consecutive naturals, for example, 25213689167 + ... + 25213690833.

Almost surely, 242031221230000 is an apocalyptic number.

42031221230000 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 42031221230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52455356200368).

42031221230000 is an abundant number, since it is smaller than the sum of its proper divisors (62879491170736).

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

42031221230000 is a wasteful number, since it uses less digits than its factorization.

42031221230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42031221230000 its reverse (3212213024), we get a palindrome (42034433443024).

The spelling of 42031221230000 in words is "forty-two trillion, thirty-one billion, two hundred twenty-one million, two hundred thirty thousand".