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142114320 = 24325197381
BaseRepresentation
bin10000111100001…
…11111000010000
3100220102011012100
420132013320100
5242340124240
622034000400
73343644315
oct1036077020
9326364170
10142114320
1173246657
123b716100
132359a81a
1414c34d0c
15c722e30
hex8787e10

142114320 has 60 divisors (see below), whose sum is σ = 477269676. Its totient is φ = 37896960.

The previous prime is 142114289. The next prime is 142114333. The reversal of 142114320 is 23411241.

It can be written as a sum of positive squares in 2 ways, for example, as 86044176 + 56070144 = 9276^2 + 7488^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142114293 and 142114302.

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, 97971 + ... + 99410.

Almost surely, 2142114320 is an apocalyptic number.

142114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142114320 is an abundant number, since it is smaller than the sum of its proper divisors (335155356).

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

142114320 is a wasteful number, since it uses less digits than its factorization.

142114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197400 (or 197391 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142114320 is about 11921.1710834129. The cubic root of 142114320 is about 521.8503115958.

Adding to 142114320 its reverse (23411241), we get a palindrome (165525561).

The spelling of 142114320 in words is "one hundred forty-two million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 197381 394762 592143 789524 986905 1184286 1579048 1776429 1973810 2368572 2960715 3158096 3552858 3947620 4737144 5921430 7105716 7895240 8882145 9474288 11842860 14211432 15790480 17764290 23685720 28422864 35528580 47371440 71057160 142114320