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141982064190 = 235558428833
BaseRepresentation
bin1000010000111011001…
…0100101111000111110
3111120110222022011200000
42010032302211320332
54311234402023230
6145120424215130
713154306430051
oct2041662457076
9446428264600
10141982064190
115523a1a031a
122362560a4a6
13105093c9645
146c2c978a98
153a5ec3eb60
hex210eca5e3e

141982064190 has 48 divisors (see below), whose sum is σ = 382825720368. Its totient is φ = 37861883136.

The previous prime is 141982064183. The next prime is 141982064207. The reversal of 141982064190 is 91460289141.

It is a happy number.

141982064190 is a `hidden beast` number, since 14 + 19 + 8 + 206 + 419 + 0 = 666.

141982064190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1419820641902 (a number of 23 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 29211987 + ... + 29216846.

It is an arithmetic number, because the mean of its divisors is an integer number (7975535841).

Almost surely, 2141982064190 is an apocalyptic number.

141982064190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141982064190 is an abundant number, since it is smaller than the sum of its proper divisors (240843656178).

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

141982064190 is an equidigital number, since it uses as much as digits as its factorization.

141982064190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58428855 (or 58428843 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 141982064190 in words is "one hundred forty-one billion, nine hundred eighty-two million, sixty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 58428833 116857666 175286499 292144165 350572998 525859497 584288330 876432495 1051718994 1577578491 1752864990 2629297485 3155156982 4732735473 5258594970 7887892455 9465470946 14198206419 15775784910 23663677365 28396412838 47327354730 70991032095 141982064190