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14262141744 = 243459383487
BaseRepresentation
bin11010100100001011…
…10000001100110000
31100210221201212110000
431102011300030300
5213202102013434
610315115110000
71013300130114
oct152205601460
940727655400
1014262141744
116059675204
122920442300
131463a12c36
14994233744
15587164b99
hex352170330

14262141744 has 200 divisors, whose sum is σ = 42174443520. Its totient is φ = 4651696512.

The previous prime is 14262141743. The next prime is 14262141749. The reversal of 14262141744 is 44714126241.

14262141744 is a `hidden beast` number, since 1 + 426 + 214 + 17 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14262141699 and 14262141708.

It is not an unprimeable number, because it can be changed into a prime (14262141743) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 29285469 + ... + 29285955.

Almost surely, 214262141744 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 14262141744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21087221760).

14262141744 is an abundant number, since it is smaller than the sum of its proper divisors (27912301776).

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

14262141744 is a wasteful number, since it uses less digits than its factorization.

14262141744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

Adding to 14262141744 its reverse (44714126241), we get a palindrome (58976267985).

The spelling of 14262141744 in words is "fourteen billion, two hundred sixty-two million, one hundred forty-one thousand, seven hundred forty-four".