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140013134443 = 721313113912071
BaseRepresentation
bin1000001001100101101…
…1101110001001101011
3111101101202102011211001
42002121123232021223
54243221330300233
6144153211215431
713054441002100
oct2023133561153
9441352364731
10140013134443
1154419845256
1223176147577
1310284510460
146ac328aaa7
153996e6827d
hex20996ee26b

140013134443 has 48 divisors (see below), whose sum is σ = 178026266880. Its totient is φ = 109134043200.

The previous prime is 140013134399. The next prime is 140013134447. The reversal of 140013134443 is 344431310041.

It is a happy number.

140013134443 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 140013134443 - 225 = 139979580011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140013134447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11593098 + ... + 11605168.

It is an arithmetic number, because the mean of its divisors is an integer number (3708880560).

Almost surely, 2140013134443 is an apocalyptic number.

140013134443 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

140013134443 is a deficient number, since it is larger than the sum of its proper divisors (38013132437).

140013134443 is a wasteful number, since it uses less digits than its factorization.

140013134443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12368 (or 12361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 140013134443 its reverse (344431310041), we get a palindrome (484444444484).

The spelling of 140013134443 in words is "one hundred forty billion, thirteen million, one hundred thirty-four thousand, four hundred forty-three".

Divisors: 1 7 13 49 91 131 139 637 917 973 1703 1807 6419 6811 11921 12071 12649 18209 83447 84497 88543 127463 156923 236717 591479 892241 1098461 1581301 1657019 1677869 7689227 11069107 11599133 11745083 20556913 21812297 77483749 82215581 143898391 152686079 219800839 1007288737 1068802553 1538605873 2857410907 10770241111 20001876349 140013134443