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142187721390 = 2325111331356387
BaseRepresentation
bin1000010001101100001…
…1000111001010101110
3111121000022021122022100
42010123003013022232
54312200024041030
6145153052155530
713162354455531
oct2043303071256
9447008248270
10142187721390
1155335297650
1223682468ba6
131053cbb48b0
146c4bdd0a18
153a72d15360
hex211b0c72ae

142187721390 has 192 divisors, whose sum is σ = 448330401792. Its totient is φ = 30791750400.

The previous prime is 142187721371. The next prime is 142187721461. The reversal of 142187721390 is 93127781241.

142187721390 is a `hidden beast` number, since 1 + 421 + 8 + 7 + 7 + 213 + 9 + 0 = 666.

142187721390 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1421877213902 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 220777 + ... + 577163.

It is an arithmetic number, because the mean of its divisors is an integer number (2335054176).

Almost surely, 2142187721390 is an apocalyptic number.

142187721390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142187721390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224165200896).

142187721390 is an abundant number, since it is smaller than the sum of its proper divisors (306142680402).

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

142187721390 is a wasteful number, since it uses less digits than its factorization.

142187721390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356455 (or 356452 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 142187721390 in words is "one hundred forty-two billion, one hundred eighty-seven million, seven hundred twenty-one thousand, three hundred ninety".