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141040114414031 = 7237531553945143
BaseRepresentation
bin100000000100011001110101…
…111010110011000111001111
3200111101022012002000100010102
4200010121311322303013033
5121441300123242222111
61215544533432401315
741464545341653400
oct4004316572630717
9614338162010112
10141040114414031
1140a3785a751128
121399a628b4623b
13609104467acb1
1426b85411a59a7
151148b9c7da13b
hex804675eb31cf

141040114414031 has 48 divisors (see below), whose sum is σ = 171791316656064. Its totient is φ = 115330430831616.

The previous prime is 141040114414027. The next prime is 141040114414039. The reversal of 141040114414031 is 130414411040141.

141040114414031 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 141040114414031 - 22 = 141040114414027 is a prime.

It is a super-2 number, since 2×1410401144140312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141040114413985 and 141040114414003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141040114414039) 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, 148753646 + ... + 149698788.

It is an arithmetic number, because the mean of its divisors is an integer number (3578985763668).

Almost surely, 2141040114414031 is an apocalyptic number.

141040114414031 is a deficient number, since it is larger than the sum of its proper divisors (30751202242033).

141040114414031 is a wasteful number, since it uses less digits than its factorization.

141040114414031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946800 (or 946793 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 141040114414031 its reverse (130414411040141), we get a palindrome (271454525454172).

The spelling of 141040114414031 in words is "one hundred forty-one trillion, forty billion, one hundred fourteen million, four hundred fourteen thousand, thirty-one".

Divisors: 1 7 37 49 53 259 371 1553 1813 1961 2597 10871 13727 57461 76097 82309 96089 402227 576163 945143 2815589 3045433 4033141 6616001 21318031 34970291 46312007 50092579 149226217 244792037 350648053 1467807079 1713544259 1853425423 2454536371 10274649553 12973977961 54308861923 71922546871 77793775187 90817845727 380162033461 544556426309 2661134234227 2878369681919 3811894984163 20148587773433 141040114414031