Search a number
-
+
141237031680 = 28325311313019
BaseRepresentation
bin1000001110001001100…
…0100001001100000000
3111111120001101121012100
42003202120201030000
54303223140003210
6144514451430400
713126661650443
oct2034230411400
9444501347170
10141237031680
1154997693378
1223457bb5400
131041ac50bc4
146b9ba3b65a
153a196245c0
hex20e2621300

141237031680 has 432 divisors, whose sum is σ = 508447779840. Its totient is φ = 36158054400.

The previous prime is 141237031643. The next prime is 141237031693. The reversal of 141237031680 is 86130732141.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46781211 + ... + 46784229.

Almost surely, 2141237031680 is an apocalyptic number.

141237031680 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 141237031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254223889920).

141237031680 is an abundant number, since it is smaller than the sum of its proper divisors (367210748160).

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

141237031680 is a wasteful number, since it uses less digits than its factorization.

141237031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 141237031680 in words is "one hundred forty-one billion, two hundred thirty-seven million, thirty-one thousand, six hundred eighty".