Search a number
-
+
141023531960 = 23517472223421
BaseRepresentation
bin1000001101010110101…
…0000101001110111000
3111111000011122200122022
42003111222011032320
54302304011010320
6144441343414012
713121460146333
oct2032552051670
9444004580568
10141023531960
115489811a923
12233b85b4308
13103b594b0cc
146b7b54361a
153a05a00325
hex20d5a853b8

141023531960 has 192 divisors, whose sum is σ = 345626507520. Its totient is φ = 51605729280.

The previous prime is 141023531951. The next prime is 141023531969. The reversal of 141023531960 is 69135320141.

It is a Cunningham number, because it is equal to 3755312-1.

It is an interprime number because it is at equal distance from previous prime (141023531951) and next prime (141023531969).

It is a self number, because there is not a number n which added to its sum of digits gives 141023531960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141023531969) 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 47 ways as a sum of consecutive naturals, for example, 334972550 + ... + 334972970.

It is an arithmetic number, because the mean of its divisors is an integer number (1800138060).

Almost surely, 2141023531960 is an apocalyptic number.

141023531960 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 141023531960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172813253760).

141023531960 is an abundant number, since it is smaller than the sum of its proper divisors (204602975560).

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

141023531960 is a wasteful number, since it uses less digits than its factorization.

141023531960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 141023531960 in words is "one hundred forty-one billion, twenty-three million, five hundred thirty-one thousand, nine hundred sixty".