Search a number
-
+
141199731643392 = 21033235361173397
BaseRepresentation
bin100000000110101110011111…
…110110001101010000000000
3200111221120012001222201112000
4200012232133312031100000
5122001404022300042032
61220150132231504000
741512225660014252
oct4006563766152000
9614846161881460
10141199731643392
1140a99519497014
1213a05554528000
1360a31015295c6
1426c2163d1bcd2
15114cde0868e7c
hex806b9fd8d400

141199731643392 has 1408 divisors, whose sum is σ = 455624265323520. Its totient is φ = 43086713978880.

The previous prime is 141199731643361. The next prime is 141199731643409. The reversal of 141199731643392 is 293346137991141.

141199731643392 is a `hidden beast` number, since 1 + 4 + 1 + 19 + 9 + 73 + 164 + 3 + 392 = 666.

141199731643392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 355666830138 + ... + 355666830534.

Almost surely, 2141199731643392 is an apocalyptic number.

141199731643392 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 141199731643392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227812132661760).

141199731643392 is an abundant number, since it is smaller than the sum of its proper divisors (314424533680128).

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

141199731643392 is a wasteful number, since it uses less digits than its factorization.

141199731643392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 712 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 141199731643392 in words is "one hundred forty-one trillion, one hundred ninety-nine billion, seven hundred thirty-one million, six hundred forty-three thousand, three hundred ninety-two".