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142406066430 = 23256732351099
BaseRepresentation
bin1000010010100000010…
…0000010000011111110
3111121120112010201101200
42010220010002003332
54313121423111210
6145230452120330
713200645410145
oct2045004020376
9447515121350
10142406066430
115543756a4a1
12237236060a6
13105761c2c44
146c6cdca75c
153a870950c0
hex21281020fe

142406066430 has 48 divisors (see below), whose sum is σ = 370806087600. Its totient is φ = 37918508544.

The previous prime is 142406066423. The next prime is 142406066431. The reversal of 142406066430 is 34660604241.

142406066430 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 0 + 6 + 0 + 6 + 643 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142406066431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114980 + ... + 1236119.

It is an arithmetic number, because the mean of its divisors is an integer number (7725126825).

Almost surely, 2142406066430 is an apocalyptic number.

142406066430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142406066430 is an abundant number, since it is smaller than the sum of its proper divisors (228400021170).

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

142406066430 is a wasteful number, since it uses less digits than its factorization.

142406066430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351785 (or 2351782 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 142406066430 in words is "one hundred forty-two billion, four hundred six million, sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 673 1346 2019 3365 4038 6057 6730 10095 12114 20190 30285 60570 2351099 4702198 7053297 11755495 14106594 21159891 23510990 35266485 42319782 70532970 105799455 211598910 1582289627 3164579254 4746868881 7911448135 9493737762 14240606643 15822896270 23734344405 28481213286 47468688810 71203033215 142406066430