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141435244020 = 223572918476287
BaseRepresentation
bin1000001110111000110…
…0101000110111110100
3111112001212100211102010
42003232030220313310
54304124410302040
6144550252044220
713134616511130
oct2035614506764
9445055324363
10141435244020
1154a89565224
12234b2463670
1310450030605
146bba0b63c0
153a2bc28e80
hex20ee328df4

141435244020 has 192 divisors, whose sum is σ = 468527431680. Its totient is φ = 31191433728.

The previous prime is 141435243973. The next prime is 141435244033. The reversal of 141435244020 is 20442534141.

141435244020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22493317 + ... + 22499603.

It is an arithmetic number, because the mean of its divisors is an integer number (2440247040).

Almost surely, 2141435244020 is an apocalyptic number.

141435244020 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 141435244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234263715840).

141435244020 is an abundant number, since it is smaller than the sum of its proper divisors (327092187660).

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

141435244020 is a wasteful number, since it uses less digits than its factorization.

141435244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 141435244020 its reverse (20442534141), we get a palindrome (161877778161).

The spelling of 141435244020 in words is "one hundred forty-one billion, four hundred thirty-five million, two hundred forty-four thousand, twenty".