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142165421640 = 233251123599091
BaseRepresentation
bin1000010001100110111…
…0000010111001001000
3111120221202022200210200
42010121232002321020
54312123321443030
6145150534212200
713161664100634
oct2043156027110
9446852280720
10142165421640
1155323746500
1223676ab4060
13105383a7788
146c49067dc4
153a70dacd60
hex2119b82e48

142165421640 has 288 divisors, whose sum is σ = 509330203200. Its totient is φ = 34364563200.

The previous prime is 142165421557. The next prime is 142165421687. The reversal of 142165421640 is 46124561241.

142165421640 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 6 + 5 + 4 + 2 + 1 + 640 = 666.

It is a super-2 number, since 2×1421654216402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142165421595 and 142165421604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15633495 + ... + 15642585.

It is an arithmetic number, because the mean of its divisors is an integer number (1768507650).

Almost surely, 2142165421640 is an apocalyptic number.

142165421640 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 142165421640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254665101600).

142165421640 is an abundant number, since it is smaller than the sum of its proper divisors (367164781560).

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

142165421640 is a wasteful number, since it uses less digits than its factorization.

142165421640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 142165421640 its reverse (46124561241), we get a palindrome (188289982881).

The spelling of 142165421640 in words is "one hundred forty-two billion, one hundred sixty-five million, four hundred twenty-one thousand, six hundred forty".