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141434440323111 = 3213175931109108127
BaseRepresentation
bin100000001010001001000101…
…100100110001000000100111
3200112210000000022210000122200
4200022021011210301000213
5122014230213210314421
61220450030201225543
741535205164615315
oct4012110544610047
9615700008700580
10141434440323111
114107a011412a91
1213a42b37a922b3
1360bc2975c0290
1426cd66b9550b5
15115407aec6726
hex80a245931027

141434440323111 has 96 divisors (see below), whose sum is σ = 233556246443520. Its totient is φ = 81704143798272.

The previous prime is 141434440323103. The next prime is 141434440323203. The reversal of 141434440323111 is 111323044434141.

141434440323111 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 3 + 4 + 4 + 403 + 231 + 11 = 666.

It is not a de Polignac number, because 141434440323111 - 23 = 141434440323103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141434440327111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1307985930 + ... + 1308094056.

It is an arithmetic number, because the mean of its divisors is an integer number (2432877567120).

Almost surely, 2141434440323111 is an apocalyptic number.

141434440323111 is a deficient number, since it is larger than the sum of its proper divisors (92121806120409).

141434440323111 is a wasteful number, since it uses less digits than its factorization.

141434440323111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109865 (or 109862 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 141434440323111 its reverse (111323044434141), we get a palindrome (252757484757252).

The spelling of 141434440323111 in words is "one hundred forty-one trillion, four hundred thirty-four billion, four hundred forty million, three hundred twenty-three thousand, one hundred eleven".

Divisors: 1 3 9 13 17 39 51 117 153 221 593 663 1109 1779 1989 3327 5337 7709 9981 10081 14417 18853 23127 30243 43251 56559 69381 90729 108127 129753 131053 169677 245089 324381 393159 657637 735267 973143 1179477 1405651 1838159 1972911 2205801 4216953 5514477 5918733 8549281 11179829 12650859 16543431 23896067 25647843 33539487 64119311 71688201 76943529 100618461 119912843 145337777 192357933 215064603 359738529 436013331 577073799 833551043 1079215587 1090028287 1308039993 1558866959 2038518331 2500653129 3270084861 4676600877 6115554993 7501959387 9810254583 14029802631 14170367731 18346664979 26500738303 42511103193 71108315899 79502214909 127533309579 213324947697 238506644727 639974843091 924408106687 1208841370283 2773224320061 3626524110849 8319672960183 10879572332547 15714937813679 47144813441037 141434440323111