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142334784 = 2632298521
BaseRepresentation
bin10000111101111…
…01101101000000
3100220211100121200
420132331231000
5242414203114
622042421200
73345553134
oct1036755500
9326740550
10142334784
1173387259
123b801800
1323646c87
1414c913c4
15c768409
hex87bdb40

142334784 has 84 divisors (see below), whose sum is σ = 422094660. Its totient is φ = 45803520.

The previous prime is 142334779. The next prime is 142334827. The reversal of 142334784 is 487433241.

142334784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 70560000 = 8472^2 + 8400^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12444 + ... + 20964.

Almost surely, 2142334784 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 142334784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211047330).

142334784 is an abundant number, since it is smaller than the sum of its proper divisors (279759876).

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

142334784 is a wasteful number, since it uses less digits than its factorization.

142334784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8555 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 142334784 is about 11930.4142425986. The cubic root of 142334784 is about 522.1200234864.

The spelling of 142334784 in words is "one hundred forty-two million, three hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 8521 16704 17042 25563 34084 51126 68168 76689 102252 136336 153378 204504 247109 272672 306756 409008 494218 545344 613512 741327 818016 988436 1227024 1482654 1636032 1976872 2223981 2454048 2965308 3953744 4447962 4908096 5930616 7907488 8895924 11861232 15814976 17791848 23722464 35583696 47444928 71167392 142334784