Search a number
-
+
140651156041 = 1141535999733
BaseRepresentation
bin1000001011111101110…
…1100101001001001001
3111110001012222000220121
42002333131211021021
54301023143443131
6144340402223241
713106316046264
oct2027735451111
9443035860817
10140651156041
1154716a02330
1223313954b21
131035675c226
146b43ccdcdb
1539d2e96911
hex20bf765249

140651156041 has 32 divisors (see below), whose sum is σ = 162861632640. Its totient is φ = 120316684800.

The previous prime is 140651156039. The next prime is 140651156053.

140651156041 is nontrivially palindromic in base 10.

140651156041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 140651156041 - 21 = 140651156039 is a prime.

It is a super-3 number, since 3×1406511560413 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 140651155988 and 140651156006.

It is not an unprimeable number, because it can be changed into a prime (140651156941) 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 31 ways as a sum of consecutive naturals, for example, 1360411 + ... + 1460143.

It is an arithmetic number, because the mean of its divisors is an integer number (5089426020).

Almost surely, 2140651156041 is an apocalyptic number.

140651156041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140651156041 is a deficient number, since it is larger than the sum of its proper divisors (22210476599).

140651156041 is a wasteful number, since it uses less digits than its factorization.

140651156041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99897.

The product of its (nonzero) digits is 14400, while the sum is 34.

It can be divided in two parts, 140651 and 156041, that added together give a palindrome (296692).

The spelling of 140651156041 in words is "one hundred forty billion, six hundred fifty-one million, one hundred fifty-six thousand, forty-one".

Divisors: 1 11 41 53 59 451 583 649 2173 2419 3127 23903 26609 34397 99733 128207 1097063 1410277 4089053 5285849 5884247 44979583 58144339 64726717 216719809 241254127 311865091 2383917899 2653795397 3430516001 12786468731 140651156041