Search a number
-
+
143349921792 = 21132721147307
BaseRepresentation
bin1000010110000001010…
…0100011100000000000
3111201000022011112112200
42011200110203200000
54322040034444132
6145504250153200
713233226142100
oct2054024434000
9451008145480
10143349921792
1155881325a50
1223947722800
1310696902c3c
146d1c4c1200
153aded85d7c
hex2160523800

143349921792 has 864 divisors, whose sum is σ = 538325948160. Its totient is φ = 36322836480.

The previous prime is 143349921791. The next prime is 143349921809. The reversal of 143349921792 is 297129943341.

143349921792 is a `hidden beast` number, since 1 + 4 + 334 + 9 + 9 + 217 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143349921791) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466937703 + ... + 466938009.

It is an arithmetic number, because the mean of its divisors is an integer number (623062440).

Almost surely, 2143349921792 is an apocalyptic number.

143349921792 is a gapful number since it is divisible by the number (12) 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 143349921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269162974080).

143349921792 is an abundant number, since it is smaller than the sum of its proper divisors (394976026368).

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

143349921792 is a wasteful number, since it uses less digits than its factorization.

143349921792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 377 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 143349921792 in words is "one hundred forty-three billion, three hundred forty-nine million, nine hundred twenty-one thousand, seven hundred ninety-two".