Search a number
-
+
3326313830040 = 23365563202613
BaseRepresentation
bin110000011001110111110…
…000010001011010011000
3102202222210112022101000000
4300121313300101122120
5413444242320030130
611024030521213000
7462214105022205
oct60316760213230
912688715271000
103326313830040
111072755492a53
124587b3931160
131b1893132c36
14b6dccaa2cac
155b7d20e8260
hex30677c11698

3326313830040 has 224 divisors, whose sum is σ = 11241162497520. Its totient is φ = 885437132544.

The previous prime is 3326313830027. The next prime is 3326313830093. The reversal of 3326313830040 is 400383136233.

3326313830040 is a `hidden beast` number, since 3 + 32 + 6 + 313 + 8 + 300 + 4 + 0 = 666.

It is a super-2 number, since 2×33263138300402 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3326313829977 and 3326313830004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16315774 + ... + 16518386.

Almost surely, 23326313830040 is an apocalyptic number.

3326313830040 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 3326313830040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620581248760).

3326313830040 is an abundant number, since it is smaller than the sum of its proper divisors (7914848667480).

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

3326313830040 is a wasteful number, since it uses less digits than its factorization.

3326313830040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203205 (or 203186 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 3326313830040 its reverse (400383136233), we get a palindrome (3726696966273).

The spelling of 3326313830040 in words is "three trillion, three hundred twenty-six billion, three hundred thirteen million, eight hundred thirty thousand, forty".