Search a number
-
+
141680931840 = 2103357314723
BaseRepresentation
bin1000001111110011010…
…1110111010000000000
3111112200222200001202000
42003330311313100000
54310130304304330
6145030510024000
713143662023140
oct2037465672000
9445628601660
10141680931840
11550a5213108
12235607a8000
131048bbc3316
146c0098c920
153a435aa560
hex20fcd77400

141680931840 has 704 divisors, whose sum is σ = 594126520320. Its totient is φ = 31332925440.

The previous prime is 141680931829. The next prime is 141680931841. The reversal of 141680931840 is 48139086141.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141680931841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29995719 + ... + 30000441.

Almost surely, 2141680931840 is an apocalyptic number.

141680931840 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 141680931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297063260160).

141680931840 is an abundant number, since it is smaller than the sum of its proper divisors (452445588480).

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

141680931840 is a wasteful number, since it uses less digits than its factorization.

141680931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 141680931840 in words is "one hundred forty-one billion, six hundred eighty million, nine hundred thirty-one thousand, eight hundred forty".