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140181041 = 71121329439
BaseRepresentation
bin10000101101011…
…11111000110001
3100202202221020102
420112233320301
5241341243131
621524322145
73321343040
oct1026577061
9322687212
10140181041
1172146100
123ab43355
1323071880
1414890557
15c4901cb
hex85afe31

140181041 has 48 divisors (see below), whose sum is σ = 196627200. Its totient is φ = 97130880.

The previous prime is 140181037. The next prime is 140181077.

It is a happy number.

140181041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 140181041 - 22 = 140181037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140180041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319100 + ... + 319538.

It is an arithmetic number, because the mean of its divisors is an integer number (4096400).

Almost surely, 2140181041 is an apocalyptic number.

140181041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140181041 is a deficient number, since it is larger than the sum of its proper divisors (56446159).

140181041 is a wasteful number, since it uses less digits than its factorization.

140181041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 140181041 is about 11839.8074730968. The cubic root of 140181041 is about 519.4731362340.

It can be divided in two parts, 140 and 181041, that added together give a palindrome (181181).

The spelling of 140181041 in words is "one hundred forty million, one hundred eighty-one thousand, forty-one".

Divisors: 1 7 11 13 29 77 91 121 143 203 319 377 439 847 1001 1573 2233 2639 3073 3509 4147 4829 5707 11011 12731 24563 29029 33803 39949 45617 53119 62777 89117 140041 165503 319319 371833 439439 690547 980287 1158521 1540451 1820533 4833829 10783157 12743731 20025863 140181041