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140034211344 = 24343111533023
BaseRepresentation
bin1000001001101010110…
…0000111111000010000
3111101110020001222220000
42002122230013320100
54243242224230334
6144155243050000
713055115104556
oct2023254077020
9441406058800
10140034211344
115442a730685
1223181210900
13102889acab1
146ac5db5bd6
153998c2d299
hex209ab07e10

140034211344 has 200 divisors, whose sum is σ = 418875190272. Its totient is φ = 45118218240.

The previous prime is 140034211337. The next prime is 140034211357. The reversal of 140034211344 is 443112430041.

140034211344 is a `hidden beast` number, since 1 + 400 + 3 + 4 + 211 + 3 + 44 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46321417 + ... + 46324439.

Almost surely, 2140034211344 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 140034211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209437595136).

140034211344 is an abundant number, since it is smaller than the sum of its proper divisors (278840978928).

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

140034211344 is a wasteful number, since it uses less digits than its factorization.

140034211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4212 counting only the distinct ones).

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

Adding to 140034211344 its reverse (443112430041), we get a palindrome (583146641385).

The spelling of 140034211344 in words is "one hundred forty billion, thirty-four million, two hundred eleven thousand, three hundred forty-four".