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142413121320 = 233523127541751
BaseRepresentation
bin1000010010100001111…
…0111100011100101000
3111121121000102010212220
42010220132330130220
54313130224340240
6145231303234040
713201062362301
oct2045036743450
9447530363786
10142413121320
1155440548988
1223725a48920
13105777c3132
146c6dd057a8
153a879da5d0
hex21287bc728

142413121320 has 256 divisors, whose sum is σ = 450755297280. Its totient is φ = 35925120000.

The previous prime is 142413121307. The next prime is 142413121339. The reversal of 142413121320 is 23121314241.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 189630945 + ... + 189631695.

It is an arithmetic number, because the mean of its divisors is an integer number (1760762880).

Almost surely, 2142413121320 is an apocalyptic number.

142413121320 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 142413121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225377648640).

142413121320 is an abundant number, since it is smaller than the sum of its proper divisors (308342175960).

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

142413121320 is a wasteful number, since it uses less digits than its factorization.

142413121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 142413121320 its reverse (23121314241), we get a palindrome (165534435561).

The spelling of 142413121320 in words is "one hundred forty-two billion, four hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".