Search a number
-
+
133444015320 = 2335711171675087
BaseRepresentation
bin111110001000111100…
…0100001010011011000
3110202102221110100110210
41330101320201103120
54141243131442240
6141145304211120
712432603262230
oct1742170412330
9422387410423
10133444015320
1151658738890
1221a42169aa0
13c77856ba15
14665ca52cc0
1537103b2780
hex1f11e214d8

133444015320 has 512 divisors, whose sum is σ = 531744030720. Its totient is φ = 25936158720.

The previous prime is 133444015279. The next prime is 133444015339. The reversal of 133444015320 is 23510444331.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 26229817 + ... + 26234903.

It is an arithmetic number, because the mean of its divisors is an integer number (1038562560).

Almost surely, 2133444015320 is an apocalyptic number.

133444015320 is a gapful number since it is divisible by the number (10) 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 133444015320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265872015360).

133444015320 is an abundant number, since it is smaller than the sum of its proper divisors (398300015400).

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

133444015320 is a wasteful number, since it uses less digits than its factorization.

133444015320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 133444015320 its reverse (23510444331), we get a palindrome (156954459651).

The spelling of 133444015320 in words is "one hundred thirty-three billion, four hundred forty-four million, fifteen thousand, three hundred twenty".