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141982418340 = 2232571929204509
BaseRepresentation
bin1000010000111011001…
…1111100010110100100
3111120110222222011110200
42010032303330112210
54311234444341330
6145120435550500
713154312433420
oct2041663742644
9446428864420
10141982418340
115523a412404
122362575b430
13105094c18b9
146c2ca2bb80
153a5ecaea60
hex210ecfc5a4

141982418340 has 288 divisors, whose sum is σ = 535979808000. Its totient is φ = 29684745216.

The previous prime is 141982418327. The next prime is 141982418351. The reversal of 141982418340 is 43814289141.

141982418340 is a `hidden beast` number, since 1 + 4 + 198 + 2 + 418 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592006 + ... + 796514.

It is an arithmetic number, because the mean of its divisors is an integer number (1861041000).

Almost surely, 2141982418340 is an apocalyptic number.

141982418340 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 141982418340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267989904000).

141982418340 is an abundant number, since it is smaller than the sum of its proper divisors (393997389660).

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

141982418340 is a wasteful number, since it uses less digits than its factorization.

141982418340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204579 (or 204574 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 141982418340 in words is "one hundred forty-one billion, nine hundred eighty-two million, four hundred eighteen thousand, three hundred forty".