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140224013424 = 243211243211887
BaseRepresentation
bin1000001010011000000…
…0001010010001110000
3111101221110012221101200
42002212000022101300
54244134321412144
6144230143131200
713062611306445
oct2024600122160
9441843187350
10140224013424
1154517888800
12232148a3b00
13102b9106411
146b032a19cc
1539aa720c69
hex20a600a470

140224013424 has 360 divisors, whose sum is σ = 443974667136. Its totient is φ = 41260665600.

The previous prime is 140224013357. The next prime is 140224013431. The reversal of 140224013424 is 424310422041.

140224013424 is a `hidden beast` number, since 1 + 4 + 0 + 224 + 0 + 13 + 424 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158087509 + ... + 158088395.

Almost surely, 2140224013424 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 140224013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221987333568).

140224013424 is an abundant number, since it is smaller than the sum of its proper divisors (303750653712).

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

140224013424 is a wasteful number, since it uses less digits than its factorization.

140224013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 140224013424 its reverse (424310422041), we get a palindrome (564534435465).

The spelling of 140224013424 in words is "one hundred forty billion, two hundred twenty-four million, thirteen thousand, four hundred twenty-four".