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142144240 = 2457435903
BaseRepresentation
bin10000111100011…
…11001011110000
3100220110200020111
420132033023300
5242342103430
622034351104
73344130460
oct1036171360
9326420214
10142144240
1173267087
123b72b494
13235ab324
1414c41ba0
15c72bc2a
hex878f2f0

142144240 has 80 divisors (see below), whose sum is σ = 386546688. Its totient is φ = 47593728.

The previous prime is 142144237. The next prime is 142144243. The reversal of 142144240 is 42441241.

142144240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142144237) and next prime (142144243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142144243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21129 + ... + 27031.

Almost surely, 2142144240 is an apocalyptic number.

142144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193273344).

142144240 is an abundant number, since it is smaller than the sum of its proper divisors (244402448).

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

142144240 is a wasteful number, since it uses less digits than its factorization.

142144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 142144240 is about 11922.4259276374. The cubic root of 142144240 is about 521.8869315641.

Adding to 142144240 its reverse (42441241), we get a palindrome (184585481).

The spelling of 142144240 in words is "one hundred forty-two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 5903 6020 11806 12040 23612 24080 29515 41321 47224 59030 82642 94448 118060 165284 206605 236120 253829 330568 413210 472240 507658 661136 826420 1015316 1269145 1652840 1776803 2030632 2538290 3305680 3553606 4061264 5076580 7107212 8884015 10153160 14214424 17768030 20306320 28428848 35536060 71072120 142144240