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140212435752 = 23331036302249
BaseRepresentation
bin1000001010010101001…
…1111111101100101000
3111101220122102201211000
42002211103333230220
54244123340421002
6144225051035000
713062411016344
oct2024523775450
9441818381730
10140212435752
11545112a0284
1223210a3ba60
13102b68b171c
146b0192a624
1539a96d561c
hex20a54ffb28

140212435752 has 64 divisors (see below), whose sum is σ = 393260400000. Its totient is φ = 46283709312.

The previous prime is 140212435709. The next prime is 140212435793. The reversal of 140212435752 is 257534212041.

140212435752 is a `hidden beast` number, since 1 + 4 + 0 + 212 + 435 + 7 + 5 + 2 = 666.

140212435752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3128877 + ... + 3173372.

It is an arithmetic number, because the mean of its divisors is an integer number (6144693750).

Almost surely, 2140212435752 is an apocalyptic number.

140212435752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140212435752 is an abundant number, since it is smaller than the sum of its proper divisors (253047964248).

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

140212435752 is a wasteful number, since it uses less digits than its factorization.

140212435752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302367 (or 6302357 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 140212435752 its reverse (257534212041), we get a palindrome (397746647793).

The spelling of 140212435752 in words is "one hundred forty billion, two hundred twelve million, four hundred thirty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 824 927 1236 1854 2472 2781 3708 5562 7416 11124 22248 6302249 12604498 18906747 25208996 37813494 50417992 56720241 75626988 113440482 151253976 170160723 226880964 340321446 453761928 649131647 680642892 1298263294 1361285784 1947394941 2596526588 3894789882 5193053176 5842184823 7789579764 11684369646 15579159528 17526554469 23368739292 35053108938 46737478584 70106217876 140212435752