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142310140240 = 24517104639809
BaseRepresentation
bin1000010010001001011…
…0000110100101010000
3111121022211122011101211
42010202112012211100
54312422343441430
6145213144105504
713165402143022
oct2044226064520
9447284564354
10142310140240
1155398400754
12236b7465294
131055c377798
146c6037a012
153a7d94772a
hex2122586950

142310140240 has 40 divisors (see below), whose sum is σ = 350334083880. Its totient is φ = 53575581696.

The previous prime is 142310140237. The next prime is 142310140243. The reversal of 142310140240 is 42041013241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142310140237) and next prime (142310140243).

It can be written as a sum of positive squares in 4 ways, for example, as 3738588736 + 138571551504 = 61144^2 + 372252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142310140243) 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 7 ways as a sum of consecutive naturals, for example, 52318545 + ... + 52321264.

It is an arithmetic number, because the mean of its divisors is an integer number (8758352097).

Almost surely, 2142310140240 is an apocalyptic number.

142310140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142310140240 is an abundant number, since it is smaller than the sum of its proper divisors (208023943640).

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

142310140240 is a wasteful number, since it uses less digits than its factorization.

142310140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104639839 (or 104639833 counting only the distinct ones).

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

Adding to 142310140240 its reverse (42041013241), we get a palindrome (184351153481).

The spelling of 142310140240 in words is "one hundred forty-two billion, three hundred ten million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 104639809 209279618 418559236 523199045 837118472 1046398090 1674236944 1778876753 2092796180 3557753506 4185592360 7115507012 8371184720 8894383765 14231014024 17788767530 28462028048 35577535060 71155070120 142310140240