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142410110120 = 235314159197241
BaseRepresentation
bin1000010010100001001…
…1011101010010101000
3111121120210202011021222
42010220103131102220
54313123442010440
6145231114521212
713201024651265
oct2045023352250
9447523664258
10142410110120
1155439881593
1223724a36208
1310576caa665
146c6d76026c
153a875e32b5
hex21284dd4a8

142410110120 has 256 divisors, whose sum is σ = 347755161600. Its totient is φ = 52383744000.

The previous prime is 142410110111. The next prime is 142410110123. The reversal of 142410110120 is 21011014241.

It is not an unprimeable number, because it can be changed into a prime (142410110123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590913200 + ... + 590913440.

It is an arithmetic number, because the mean of its divisors is an integer number (1358418600).

Almost surely, 2142410110120 is an apocalyptic number.

142410110120 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 142410110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173877580800).

142410110120 is an abundant number, since it is smaller than the sum of its proper divisors (205345051480).

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

142410110120 is a wasteful number, since it uses less digits than its factorization.

142410110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 142410110120 its reverse (21011014241), we get a palindrome (163421124361).

The spelling of 142410110120 in words is "one hundred forty-two billion, four hundred ten million, one hundred ten thousand, one hundred twenty".