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142624348950 = 235223318316067
BaseRepresentation
bin1000010011010100010…
…0101101101100010110
3111122010201212121201110
42010311010231230112
54314043313131300
6145304250435450
713206235651266
oct2046504555426
9448121777643
10142624348950
11555397aa376
1223784732b86
13105ac4ab9b5
146c8ddab7a6
153a9b311550
hex213512db16

142624348950 has 192 divisors, whose sum is σ = 385607319552. Its totient is φ = 34779676800.

The previous prime is 142624348897. The next prime is 142624348963. The reversal of 142624348950 is 59843426241.

It is a super-2 number, since 2×1426243489502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 142624348950.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8868817 + ... + 8884883.

It is an arithmetic number, because the mean of its divisors is an integer number (2008371456).

Almost surely, 2142624348950 is an apocalyptic number.

142624348950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142624348950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192803659776).

142624348950 is an abundant number, since it is smaller than the sum of its proper divisors (242982970602).

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

142624348950 is a wasteful number, since it uses less digits than its factorization.

142624348950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16219 (or 16214 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 142624348950 in words is "one hundred forty-two billion, six hundred twenty-four million, three hundred forty-eight thousand, nine hundred fifty".