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141452422272 = 27327215832
BaseRepresentation
bin1000001110111100111…
…0001010110010000000
3111112010001200120112200
42003233032022302000
54304143310003042
6144552104153200
713135215515400
oct2035716126200
9445101616480
10141452422272
1154a98228527
12234b8168800
1310453766565
146bbc4a8800
153a2d4bdc4c
hex20ef38ac80

141452422272 has 216 divisors, whose sum is σ = 473799560715. Its totient is φ = 40389447168.

The previous prime is 141452422271. The next prime is 141452422277. The reversal of 141452422272 is 272224254141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

141452422272 is a `hidden beast` number, since 1 + 4 + 145 + 242 + 2 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70726211136 + 70726211136 = 265944^2 + 265944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=265944.

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

It is not an unprimeable number, because it can be changed into a prime (141452422271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89356393 + ... + 89357975.

Almost surely, 2141452422272 is an apocalyptic number.

141452422272 is a gapful number since it is divisible by the number (12) 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 141452422272

141452422272 is an abundant number, since it is smaller than the sum of its proper divisors (332347138443).

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

141452422272 is an frugal number, since it uses more digits than its factorization.

141452422272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 1595 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The spelling of 141452422272 in words is "one hundred forty-one billion, four hundred fifty-two million, four hundred twenty-two thousand, two hundred seventy-two".