Search a number
-
+
40331232330000 = 2435440913272477
BaseRepresentation
bin10010010101110010110001…
…10001101100000100010000
312021210121221220222210101120
421022321120301230010100
520241241330434030000
6221435525022402240
711331556351304643
oct1112713061540420
9167717856883346
1040331232330000
111193a41a243147
124634568130380
1319672acb922c1
149d60835ada5a
1549e1942c96a0
hex24ae58c6c110

40331232330000 has 400 divisors, whose sum is σ = 130664001135360. Its totient is φ = 10716286464000.

The previous prime is 40331232329953. The next prime is 40331232330049. The reversal of 40331232330000 is 3323213304.

It is a happy number.

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16282288762 + ... + 16282291238.

Almost surely, 240331232330000 is an apocalyptic number.

40331232330000 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 40331232330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65332000567680).

40331232330000 is an abundant number, since it is smaller than the sum of its proper divisors (90332768805360).

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

40331232330000 is a wasteful number, since it uses less digits than its factorization.

40331232330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 40331232330000 its reverse (3323213304), we get a palindrome (40334555543304).

The spelling of 40331232330000 in words is "forty trillion, three hundred thirty-one billion, two hundred thirty-two million, three hundred thirty thousand".