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142857144 = 23321092167
BaseRepresentation
bin10001000001111…
…01001110111000
3100221210220011100
420200331032320
5243032412034
622101531400
73353160063
oct1040751670
9327726140
10142857144
1173703761
123ba13b60
132379a971
1414d898da
15c81d099
hex883d3b8

142857144 has 72 divisors (see below), whose sum is σ = 392825160. Its totient is φ = 46899648.

The previous prime is 142857133. The next prime is 142857151. The reversal of 142857144 is 441758241.

It is a happy number.

142857144 is a `hidden beast` number, since 1 + 42 + 8 + 571 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142857099 and 142857108.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 855349 + ... + 855515.

It is an arithmetic number, because the mean of its divisors is an integer number (5455905).

Almost surely, 2142857144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142857144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196412580).

142857144 is an abundant number, since it is smaller than the sum of its proper divisors (249968016).

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

142857144 is a wasteful number, since it uses less digits than its factorization.

142857144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 281 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 142857144 is about 11952.2861411531. The cubic root of 142857144 is about 522.7579599687.

The spelling of 142857144 in words is "one hundred forty-two million, eight hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 167 218 327 334 436 501 654 668 872 981 1002 1308 1336 1503 1962 2004 2616 3006 3924 4008 6012 7848 11881 12024 18203 23762 35643 36406 47524 54609 71286 72812 95048 106929 109218 142572 145624 163827 213858 218436 285144 327654 427716 436872 655308 855432 1310616 1984127 3968254 5952381 7936508 11904762 15873016 17857143 23809524 35714286 47619048 71428572 142857144