Search a number
-
+
142335108 = 223241731321
BaseRepresentation
bin10000111101111…
…01110010000100
3100220211101001200
420132331302010
5242414210413
622042422500
73345554106
oct1036756204
9326741050
10142335108
1173387523
123b801a30
1323647176
1414c91576
15c768573
hex87bdc84

142335108 has 72 divisors (see below), whose sum is σ = 373898616. Its totient is φ = 45619200.

The previous prime is 142335097. The next prime is 142335121. The reversal of 142335108 is 801533241.

It is a happy number.

142335108 is a `hidden beast` number, since 142 + 3 + 3 + 510 + 8 = 666.

142335108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21511044 + 120824064 = 4638^2 + 10992^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107088 + ... + 108408.

Almost surely, 2142335108 is an apocalyptic number.

142335108 is a gapful number since it is divisible by the number (18) 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 142335108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186949308).

142335108 is an abundant number, since it is smaller than the sum of its proper divisors (231563508).

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

142335108 is a wasteful number, since it uses less digits than its factorization.

142335108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 142335108 is about 11930.4278213315. The cubic root of 142335108 is about 522.1204196575.

Adding to 142335108 its reverse (801533241), we get a palindrome (943868349).

The spelling of 142335108 in words is "one hundred forty-two million, three hundred thirty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 73 82 123 146 164 219 246 292 369 438 492 657 738 876 1314 1321 1476 2628 2642 2993 3963 5284 5986 7926 8979 11889 11972 15852 17958 23778 26937 35916 47556 53874 54161 96433 107748 108322 162483 192866 216644 289299 324966 385732 487449 578598 649932 867897 974898 1157196 1735794 1949796 3471588 3953753 7907506 11861259 15815012 23722518 35583777 47445036 71167554 142335108