Search a number
-
+
142404222300 = 223524311039087
BaseRepresentation
bin1000010010011111110…
…0111111110101011100
3111121120101200000201120
42010213330333311130
54313120440103200
6145230344410540
713200623626524
oct2044774776534
9447511600646
10142404222300
115543651aa1a
1223722a76a50
13105759c8742
146c6ca6a684
153a86d2d9a0
hex2127f3fd5c

142404222300 has 72 divisors (see below), whose sum is σ = 421604848896. Its totient is φ = 37091328960.

The previous prime is 142404222287. The next prime is 142404222313. The reversal of 142404222300 is 3222404241.

It is an interprime number because it is at equal distance from previous prime (142404222287) and next prime (142404222313).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5506644 + ... + 5532443.

Almost surely, 2142404222300 is an apocalyptic number.

142404222300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142404222300 is an abundant number, since it is smaller than the sum of its proper divisors (279200626596).

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

142404222300 is a wasteful number, since it uses less digits than its factorization.

142404222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11039147 (or 11039140 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 142404222300 its reverse (3222404241), we get a palindrome (145626626541).

The spelling of 142404222300 in words is "one hundred forty-two billion, four hundred four million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 11039087 22078174 33117261 44156348 55195435 66234522 110390870 132469044 165586305 220781740 275977175 331172610 474680741 551954350 662345220 827931525 949361482 1103908700 1424042223 1655863050 1898722964 2373403705 2848084446 3311726100 4746807410 5696168892 7120211115 9493614820 11867018525 14240422230 23734037050 28480844460 35601055575 47468074100 71202111150 142404222300