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141440004000 = 25325328313883
BaseRepresentation
bin1000001110111001111…
…0110010111110100000
3111112002012022122212200
42003232132302332200
54304132120112000
6144550542053200
713135005124461
oct2035636627640
9445065278780
10141440004000
1154a91216499
12234b3b7a200
1310451009079
146bba994d68
153a2c369500
hex20ee7b2fa0

141440004000 has 288 divisors, whose sum is σ = 503780606784. Its totient is φ = 37581350400.

The previous prime is 141440003981. The next prime is 141440004019. The reversal of 141440004000 is 400044141.

It is an interprime number because it is at equal distance from previous prime (141440003981) and next prime (141440004019).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10181059 + ... + 10194941.

It is an arithmetic number, because the mean of its divisors is an integer number (1749238218).

Almost surely, 2141440004000 is an apocalyptic number.

141440004000 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 141440004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251890303392).

141440004000 is an abundant number, since it is smaller than the sum of its proper divisors (362340602784).

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

141440004000 is a wasteful number, since it uses less digits than its factorization.

141440004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197 (or 14176 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 141440004000 its reverse (400044141), we get a palindrome (141840048141).

The spelling of 141440004000 in words is "one hundred forty-one billion, four hundred forty million, four thousand".