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142006144 = 277158489
BaseRepresentation
bin10000111011011…
…01011110000000
3100220012122210211
420131231132000
5242323144034
622031403504
73343014040
oct1035553600
9326178724
10142006144
1173182355
123b683594
1323560507
1414c07720
15c700d64
hex876d780

142006144 has 32 divisors (see below), whose sum is σ = 323319600. Its totient is φ = 60859392.

The previous prime is 142006141. The next prime is 142006147. The reversal of 142006144 is 441600241.

It is an interprime number because it is at equal distance from previous prime (142006141) and next prime (142006147).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142006141) 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 3 ways as a sum of consecutive naturals, for example, 78349 + ... + 80140.

Almost surely, 2142006144 is an apocalyptic number.

142006144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142006144 is an abundant number, since it is smaller than the sum of its proper divisors (181313456).

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

142006144 is an equidigital number, since it uses as much as digits as its factorization.

142006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158510 (or 158498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 142006144 is about 11916.6330815378. The cubic root of 142006144 is about 521.7178689049.

Adding to 142006144 its reverse (441600241), we get a palindrome (583606385).

The spelling of 142006144 in words is "one hundred forty-two million, six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 158489 316978 633956 1109423 1267912 2218846 2535824 4437692 5071648 8875384 10143296 17750768 20286592 35501536 71003072 142006144