Search a number
-
+
142868144 = 24192332017
BaseRepresentation
bin10001000001111…
…11111010110000
3100221211110020202
420200333322300
5243033240034
622102054332
73353234126
oct1040777260
9327743222
10142868144
1173710a51
123ba1a3a8
13237a2983
1414d8d916
15c82147e
hex883feb0

142868144 has 40 divisors (see below), whose sum is σ = 292771440. Its totient is φ = 67350528.

The previous prime is 142868129. The next prime is 142868171. The reversal of 142868144 is 441868241.

142868144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1428681442 = 40822613140009472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 142868098 and 142868107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69824 + ... + 71840.

It is an arithmetic number, because the mean of its divisors is an integer number (7319286).

Almost surely, 2142868144 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 142868144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146385720).

142868144 is an abundant number, since it is smaller than the sum of its proper divisors (149903296).

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

142868144 is a wasteful number, since it uses less digits than its factorization.

142868144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2271 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 142868144 is about 11952.7462953080. The cubic root of 142868144 is about 522.7713770786.

The spelling of 142868144 in words is "one hundred forty-two million, eight hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 233 304 466 932 1864 2017 3728 4034 4427 8068 8854 16136 17708 32272 35416 38323 70832 76646 153292 306584 469961 613168 939922 1879844 3759688 7519376 8929259 17858518 35717036 71434072 142868144