Search a number
-
+
191831040000 = 213325423181
BaseRepresentation
bin1011001010101000000…
…1010110000000000000
3200100011000221112001100
42302222001112000000
511120332221240000
6224043112534400
716600515636045
oct2625201260000
9610130845040
10191831040000
117439a691696
12312179b1400
1315121a9c232
1493db1d51cc
154ecb201a00
hex2caa056000

191831040000 has 840 divisors, whose sum is σ = 726558264432. Its totient is φ = 48660480000.

The previous prime is 191831039987. The next prime is 191831040001. The reversal of 191831040000 is 40138191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191831040001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1059839910 + ... + 1059840090.

Almost surely, 2191831040000 is an apocalyptic number.

191831040000 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 191831040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363279132216).

191831040000 is an abundant number, since it is smaller than the sum of its proper divisors (534727224432).

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

191831040000 is an equidigital number, since it uses as much as digits as its factorization.

191831040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 191831040000 its reverse (40138191), we get a palindrome (191871178191).

The spelling of 191831040000 in words is "one hundred ninety-one billion, eight hundred thirty-one million, forty thousand".