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32143014144 = 2832313712163
BaseRepresentation
bin11101111011110111…
…110111100100000000
310001222002202022010100
4131323313313210000
51011312102423034
622433304202400
72215351053333
oct357367674400
9101862668110
1032143014144
11126a49912aa
126290769400
1330533636c7
1417accd061a
15c81d3b099
hex77bdf7900

32143014144 has 216 divisors, whose sum is σ = 98259429632. Its totient is φ = 10087649280.

The previous prime is 32143014143. The next prime is 32143014187. The reversal of 32143014144 is 44141034123.

32143014144 is a `hidden beast` number, since 3 + 214 + 30 + 1 + 414 + 4 = 666.

It is a super-2 number, since 2×321430141442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32143014143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2636607 + ... + 2648769.

Almost surely, 232143014144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32143014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49129714816).

32143014144 is an abundant number, since it is smaller than the sum of its proper divisors (66116415488).

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

32143014144 is a wasteful number, since it uses less digits than its factorization.

32143014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253 (or 12236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 32143014144 its reverse (44141034123), we get a palindrome (76284048267).

The spelling of 32143014144 in words is "thirty-two billion, one hundred forty-three million, fourteen thousand, one hundred forty-four".