Search a number
-
+
141331004480 = 265191091671277
BaseRepresentation
bin1000001110011111111…
…0111111110001000000
3111111210121012220122102
42003213332333301000
54303421214120410
6144532045525532
713132212500561
oct2034776776100
9444717186572
10141331004480
1154a35738546
12234835738a8
1310434564203
146baa300168
153a229d82a5
hex20e7fbfc40

141331004480 has 224 divisors, whose sum is σ = 359929785600. Its totient is φ = 52706598912.

The previous prime is 141331004471. The next prime is 141331004513. The reversal of 141331004480 is 84400133141.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110673602 + ... + 110674878.

It is an arithmetic number, because the mean of its divisors is an integer number (1606829400).

Almost surely, 2141331004480 is an apocalyptic number.

141331004480 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 141331004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179964892800).

141331004480 is an abundant number, since it is smaller than the sum of its proper divisors (218598781120).

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

141331004480 is a wasteful number, since it uses less digits than its factorization.

141331004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 141331004480 in words is "one hundred forty-one billion, three hundred thirty-one million, four thousand, four hundred eighty".