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142666191360 = 29325711294759
BaseRepresentation
bin1000010011011110010…
…0010101001000000000
3111122020122121102201100
42010313210111020000
54314140021110420
6145312343334400
713210254421650
oct2046744251000
9448218542640
10142666191360
1155560389180
1223796751400
13105b806c014
146c95780360
153a9ed29190
hex2137915200

142666191360 has 1920 divisors, whose sum is σ = 661843353600. Its totient is φ = 27538882560.

The previous prime is 142666191359. The next prime is 142666191373. The reversal of 142666191360 is 63191666241.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2418071011 + ... + 2418071069.

It is an arithmetic number, because the mean of its divisors is an integer number (344710080).

Almost surely, 2142666191360 is an apocalyptic number.

142666191360 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 142666191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330921676800).

142666191360 is an abundant number, since it is smaller than the sum of its proper divisors (519177162240).

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

142666191360 is a wasteful number, since it uses less digits than its factorization.

142666191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 142666191360 in words is "one hundred forty-two billion, six hundred sixty-six million, one hundred ninety-one thousand, three hundred sixty".