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141348800220 = 22354129570553
BaseRepresentation
bin1000001110100100001…
…0111000011011011100
3111111211211201000210220
42003221002320123130
54303440243101340
6144533523201340
713132516656315
oct2035102703334
9444754630726
10141348800220
1154a44792771
1223489516250
1310438155234
146bac81360c
153a24350ed0
hex20e90b86dc

141348800220 has 48 divisors (see below), whose sum is σ = 395873187360. Its totient is φ = 37683818496.

The previous prime is 141348800213. The next prime is 141348800221. The reversal of 141348800220 is 22008843141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141348800221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37537 + ... + 533016.

It is an arithmetic number, because the mean of its divisors is an integer number (8247358070).

Almost surely, 2141348800220 is an apocalyptic number.

141348800220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141348800220 is an abundant number, since it is smaller than the sum of its proper divisors (254524387140).

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

141348800220 is a wasteful number, since it uses less digits than its factorization.

141348800220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574694 (or 574692 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 141348800220 in words is "one hundred forty-one billion, three hundred forty-eight million, eight hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4129 8258 12387 16516 20645 24774 41290 49548 61935 82580 123870 247740 570553 1141106 1711659 2282212 2852765 3423318 5705530 6846636 8558295 11411060 17116590 34233180 2355813337 4711626674 7067440011 9423253348 11779066685 14134880022 23558133370 28269760044 35337200055 47116266740 70674400110 141348800220