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142198144 = 2711234391
BaseRepresentation
bin10000111100111…
…00010110000000
3100220120102011221
420132130112000
5242400320034
622035444424
73344443564
oct1036342600
9326512157
10142198144
11732a3630
123b756714
13235c9a1a
1414c576a4
15c73cbb4
hex879c580

142198144 has 64 divisors (see below), whose sum is σ = 322548480. Its totient is φ = 61811200.

The previous prime is 142198129. The next prime is 142198151. The reversal of 142198144 is 441891241.

142198144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30189 + ... + 34579.

It is an arithmetic number, because the mean of its divisors is an integer number (5039820).

Almost surely, 2142198144 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 142198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161274240).

142198144 is an abundant number, since it is smaller than the sum of its proper divisors (180350336).

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

142198144 is a wasteful number, since it uses less digits than its factorization.

142198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4427 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 142198144 is about 11924.6863271115. The cubic root of 142198144 is about 521.9528932893.

The spelling of 142198144 in words is "one hundred forty-two million, one hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 4391 8096 8782 16192 17564 32384 35128 48301 70256 96602 100993 140512 193204 201986 281024 386408 403972 562048 772816 807944 1110923 1545632 1615888 2221846 3091264 3231776 4443692 6182528 6463552 8887384 12927104 17774768 35549536 71099072 142198144