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142145040 = 2435653907
BaseRepresentation
bin10000111100011…
…11011000010000
3100220110201100010
420132033120100
5242342120130
622034354520
73344133012
oct1036173020
9326421303
10142145040
1173267744
123b72ba40
13235ab7bb
1414c421b2
15c72c0b0
hex878f610

142145040 has 80 divisors (see below), whose sum is σ = 441811008. Its totient is φ = 37805568.

The previous prime is 142145033. The next prime is 142145051. The reversal of 142145040 is 40541241.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 142144998 and 142145016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156267 + ... + 157173.

Almost surely, 2142145040 is an apocalyptic number.

142145040 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 142145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220905504).

142145040 is an abundant number, since it is smaller than the sum of its proper divisors (299665968).

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

142145040 is a wasteful number, since it uses less digits than its factorization.

142145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 142145040 is about 11922.4594778091. The cubic root of 142145040 is about 521.8879106371.

Adding to 142145040 its reverse (40541241), we get a palindrome (182686281).

The spelling of 142145040 in words is "one hundred forty-two million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 653 907 1306 1814 1959 2612 2721 3265 3628 3918 4535 5224 5442 6530 7256 7836 9070 9795 10448 10884 13060 13605 14512 15672 18140 19590 21768 26120 27210 31344 36280 39180 43536 52240 54420 72560 78360 108840 156720 217680 592271 1184542 1776813 2369084 2961355 3553626 4738168 5922710 7107252 8884065 9476336 11845420 14214504 17768130 23690840 28429008 35536260 47381680 71072520 142145040