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289144365120 = 26345131922377
BaseRepresentation
bin1000011010100100101…
…10001110000001000000
31000122022222010122020000
410031102112032001000
514214131424140440
6340455303120000
726614160360142
oct4152226160100
91018288118200
10289144365120
11101697502126
1248055a43000
132135caac410
14ddcd4d0c92
1577c4639730
hex435258e040

289144365120 has 840 divisors, whose sum is σ = 1169513402904. Its totient is φ = 67399630848.

The previous prime is 289144365089. The next prime is 289144365157. The reversal of 289144365120 is 21563441982.

289144365120 is a `hidden beast` number, since 2 + 8 + 91 + 4 + 43 + 6 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1573867584 + 287570497536 = 39672^2 + 536256^2 .

It is a super-2 number, since 2×2891443651202 (a number of 24 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 121641372 + ... + 121643748.

Almost surely, 2289144365120 is an apocalyptic number.

289144365120 is a gapful number since it is divisible by the number (20) 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 289144365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584756701452).

289144365120 is an abundant number, since it is smaller than the sum of its proper divisors (880369037784).

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

289144365120 is a wasteful number, since it uses less digits than its factorization.

289144365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 289144365120 in words is "two hundred eighty-nine billion, one hundred forty-four million, three hundred sixty-five thousand, one hundred twenty".