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142485584241 = 37111347447747
BaseRepresentation
bin1000010010110011001…
…1010111100101110001
3111121210001202122022210
42010230303113211301
54313302302143431
6145242412322333
713202632324410
oct2045463274561
9447701678283
10142485584241
11554784413a0
12237461733a9
13105898149c0
146c797a9477
153a8e050d46
hex212ccd7971

142485584241 has 32 divisors (see below), whose sum is σ = 255079093248. Its totient is φ = 68324754240.

The previous prime is 142485584209. The next prime is 142485584243.

142485584241 is nontrivially palindromic in base 10.

142485584241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142485584241 - 25 = 142485584209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142485584243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23720871 + ... + 23726876.

It is an arithmetic number, because the mean of its divisors is an integer number (7971221664).

Almost surely, 2142485584241 is an apocalyptic number.

142485584241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142485584241 is a deficient number, since it is larger than the sum of its proper divisors (112593509007).

142485584241 is a wasteful number, since it uses less digits than its factorization.

142485584241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47447781.

The product of its digits is 1638400, while the sum is 48.

The spelling of 142485584241 in words is "one hundred forty-two billion, four hundred eighty-five million, five hundred eighty-four thousand, two hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 47447747 142343241 332134229 521925217 616820711 996402687 1565775651 1850462133 3653476519 4317744977 6785027821 10960429557 12953234931 20355083463 47495194747 142485584241