Search a number
-
+
142441313021240 = 23511279315722389
BaseRepresentation
bin100000011000110010110011…
…110111010010110100111000
3200200100020221000101200120212
4200120302303313102310320
5122132224302113134430
61222540345201410252
742001021344421202
oct4030626367226470
9620306830350525
10142441313021240
1141428026843792
1213b860b7639988
1361632096ac3ac
1427262a6a5b772
15117035acacb95
hex818cb3dd2d38

142441313021240 has 32 divisors (see below), whose sum is σ = 320521370328000. Its totient is φ = 56971473469824.

The previous prime is 142441313021239. The next prime is 142441313021261. The reversal of 142441313021240 is 42120313144241.

It is a super-2 number, since 2×1424413130212402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142441313021197 and 142441313021206.

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 7 ways as a sum of consecutive naturals, for example, 157410035 + ... + 158312354.

It is an arithmetic number, because the mean of its divisors is an integer number (10016292822750).

Almost surely, 2142441313021240 is an apocalyptic number.

142441313021240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142441313021240 is an abundant number, since it is smaller than the sum of its proper divisors (178080057306760).

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

142441313021240 is a wasteful number, since it uses less digits than its factorization.

142441313021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315733679 (or 315733675 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 142441313021240 its reverse (42120313144241), we get a palindrome (184561626165481).

The spelling of 142441313021240 in words is "one hundred forty-two trillion, four hundred forty-one billion, three hundred thirteen million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11279 22558 45116 56395 90232 112790 225580 451160 315722389 631444778 1262889556 1578611945 2525779112 3157223890 6314447780 12628895560 3561032825531 7122065651062 14244131302124 17805164127655 28488262604248 35610328255310 71220656510620 142441313021240