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141441420120 = 2335711132531709
BaseRepresentation
bin1000001110111010010…
…0001100101101011000
3111112002021222121102120
42003232210030231120
54304133000420440
6144551032301240
713135023143220
oct2035644145530
9445067877376
10141441420120
1154a91aa3440
12234b4541820
13104513b3800
146bbac43080
153a2c548dd0
hex20ee90cb58

141441420120 has 768 divisors, whose sum is σ = 584002483200. Its totient is φ = 26602168320.

The previous prime is 141441420091. The next prime is 141441420137. The reversal of 141441420120 is 21024144141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 82761826 + ... + 82763534.

It is an arithmetic number, because the mean of its divisors is an integer number (760419900).

Almost surely, 2141441420120 is an apocalyptic number.

141441420120 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 141441420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292001241600).

141441420120 is an abundant number, since it is smaller than the sum of its proper divisors (442561063080).

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

141441420120 is a wasteful number, since it uses less digits than its factorization.

141441420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 141441420120 its reverse (21024144141), we get a palindrome (162465564261).

The spelling of 141441420120 in words is "one hundred forty-one billion, four hundred forty-one million, four hundred twenty thousand, one hundred twenty".