Search a number
-
+
23241439533312 = 28327112132193709
BaseRepresentation
bin1010100100011010100011…
…01111110101100100000000
310001021212012212210212120100
411102031101233311210000
511021241432010031222
6121232545300442400
74616065352321640
oct522152157654400
9101255185725510
1023241439533312
117450703793700
12273441b0a9400
13cc78734c6100
145a4c6aa86520
152a486aad94ac
hex152351bf5900

23241439533312 has 1944 divisors, whose sum is σ = 95975608747200. Its totient is φ = 5277667000320.

The previous prime is 23241439533307. The next prime is 23241439533397. The reversal of 23241439533312 is 21333593414232.

23241439533312 is a `hidden beast` number, since 2 + 3 + 2 + 41 + 43 + 9 + 533 + 31 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6266226114 + ... + 6266229822.

Almost surely, 223241439533312 is an apocalyptic number.

23241439533312 is a gapful number since it is divisible by the number (22) 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 23241439533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47987804373600).

23241439533312 is an abundant number, since it is smaller than the sum of its proper divisors (72734169213888).

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

23241439533312 is a wasteful number, since it uses less digits than its factorization.

23241439533312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3764 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 23241439533312 in words is "twenty-three trillion, two hundred forty-one billion, four hundred thirty-nine million, five hundred thirty-three thousand, three hundred twelve".