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140111210304 = 26321327319717
BaseRepresentation
bin1000001001111101000…
…1110110011101000000
3111101122120221221121100
42002133101312131000
54243421432212204
6144211033254400
713060041431412
oct2023721663500
9441576857540
10140111210304
115446a14208a
12231a2b64400
131029b92c200
146ad22da9b2
1539a088ca39
hex209f476740

140111210304 has 252 divisors, whose sum is σ = 440851928556. Its totient is φ = 42518421504.

The previous prime is 140111210269. The next prime is 140111210321. The reversal of 140111210304 is 403012111041.

140111210304 is a `hidden beast` number, since 1 + 40 + 111 + 210 + 304 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 47719528704 + 92391681600 = 218448^2 + 303960^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7096254 + ... + 7115970.

Almost surely, 2140111210304 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 140111210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220425964278).

140111210304 is an abundant number, since it is smaller than the sum of its proper divisors (300740718252).

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

140111210304 is a wasteful number, since it uses less digits than its factorization.

140111210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19834 (or 19808 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 140111210304 its reverse (403012111041), we get a palindrome (543123321345).

The spelling of 140111210304 in words is "one hundred forty billion, one hundred eleven million, two hundred ten thousand, three hundred four".