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142421561280 = 2635529137461
BaseRepresentation
bin1000010010100011111…
…1001000111111000000
3111121121121021221100000
42010220333020333000
54313134404430110
6145232204200000
713201224203505
oct2045077107700
9447547257300
10142421561280
1155445292a59
1223728839000
13105794898ab
146c710a14ac
153a886061c0
hex2128fc8fc0

142421561280 has 672 divisors, whose sum is σ = 530516226240. Its totient is φ = 36322836480.

The previous prime is 142421561279. The next prime is 142421561281. The reversal of 142421561280 is 82165124241.

142421561280 is a `hidden beast` number, since 1 + 4 + 24 + 2 + 15 + 612 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142421561279) and next prime (142421561281).

It is a super-2 number, since 2×1424215612802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142421561281) by changing a digit.

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, 308940250 + ... + 308940710.

It is an arithmetic number, because the mean of its divisors is an integer number (789458670).

Almost surely, 2142421561280 is an apocalyptic number.

142421561280 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 142421561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265258113120).

142421561280 is an abundant number, since it is smaller than the sum of its proper divisors (388094664960).

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

142421561280 is a wasteful number, since it uses less digits than its factorization.

142421561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 142421561280 in words is "one hundred forty-two billion, four hundred twenty-one million, five hundred sixty-one thousand, two hundred eighty".