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141444251040 = 25357334711633
BaseRepresentation
bin1000001110111010111…
…0111111110110100000
3111112002111022102201110
42003232232333312200
54304134212013130
6144551213103320
713135056203511
oct2035656776640
9445074272643
10141444251040
1154a93657344
12234b5487b40
1310451b65201
146bbb37ca08
153a2c907ab0
hex20eebbfda0

141444251040 has 192 divisors, whose sum is σ = 452993337216. Its totient is φ = 37091377152.

The previous prime is 141444251027. The next prime is 141444251107. The reversal of 141444251040 is 40152444141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141444250989 and 141444251007.

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, 12153064 + ... + 12164696.

It is an arithmetic number, because the mean of its divisors is an integer number (2359340298).

Almost surely, 2141444251040 is an apocalyptic number.

141444251040 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 141444251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226496668608).

141444251040 is an abundant number, since it is smaller than the sum of its proper divisors (311549086176).

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

141444251040 is a wasteful number, since it uses less digits than its factorization.

141444251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12071 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 141444251040 its reverse (40152444141), we get a palindrome (181596695181).

The spelling of 141444251040 in words is "one hundred forty-one billion, four hundred forty-four million, two hundred fifty-one thousand, forty".