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141035322235134 = 231931415916497779
BaseRepresentation
bin100000000100010101011000…
…010010000101100011111110
3200111100211211002200102112010
4200010111120102011203332
5121441210314443011014
61215542422123352050
741464315522056345
oct4004253022054376
9614324732612463
10141035322235134
1140a358206891a8
1213999710082626
13609075c8b4592
1426b8208960b5c
1511489bbc35359
hex8045584858fe

141035322235134 has 128 divisors (see below), whose sum is σ = 319291435008000. Its totient is φ = 41336832556800.

The previous prime is 141035322235111. The next prime is 141035322235139. The reversal of 141035322235134 is 431532223530141.

It is a happy number.

It is a super-3 number, since 3×1410353222351343 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141035322235092 and 141035322235101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141035322235139) 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 63 ways as a sum of consecutive naturals, for example, 299857 + ... + 16797635.

It is an arithmetic number, because the mean of its divisors is an integer number (2494464336000).

Almost surely, 2141035322235134 is an apocalyptic number.

141035322235134 is an abundant number, since it is smaller than the sum of its proper divisors (178256112772866).

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

141035322235134 is a wasteful number, since it uses less digits than its factorization.

141035322235134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16497934.

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 141035322235134 its reverse (431532223530141), we get a palindrome (572567545765275).

The spelling of 141035322235134 in words is "one hundred forty-one trillion, thirty-five billion, three hundred twenty-two million, two hundred thirty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 19 31 38 41 57 59 62 82 93 114 118 123 177 186 246 354 589 779 1121 1178 1271 1558 1767 1829 2242 2337 2419 2542 3363 3534 3658 3813 4674 4838 5487 6726 7257 7626 10974 14514 24149 34751 45961 48298 69502 72447 74989 91922 104253 137883 144894 149978 208506 224967 275766 449934 1424791 2849582 4274373 8548746 16497779 32995558 49493337 98986674 313457801 511431149 626915602 676408939 940373403 973368961 1022862298 1352817878 1534293447 1880746806 1946737922 2029226817 2920106883 3068586894 4058453634 5840213766 9717191831 12851769841 18494010259 19434383662 20968677109 25703539682 29151575493 30174437791 36988020518 38555309523 39908127401 41937354218 55482030777 58303150986 60348875582 62906031327 77110619046 79816254802 90523313373 110964061554 119724382203 125812062654 181046626746 239448764406 398404865071 573314318029 758254420619 796809730142 1146628636058 1195214595213 1237151949431 1516508841238 1719942954087 2274763261857 2390429190426 2474303898862 3439885908174 3711455848293 4549526523714 7422911696586 23505887039189 47011774078378 70517661117567 141035322235134