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140113114033113 = 3513297320951171
BaseRepresentation
bin11111110110111010100000…
…011000111110101111011001
3200101002200102211020210100000
4133312322200120332233121
5121331103124143024423
61213555024225203213
741340560403512214
oct3766724030765731
9611080384223300
10140113114033113
114070a702148541
121386aa3a490509
1360247c1109b40
142685721cbc77b
15112e9e4ba0843
hex7f6ea063ebd9

140113114033113 has 96 divisors (see below), whose sum is σ = 237023122976640. Its totient is φ = 82109814151680.

The previous prime is 140113114033051. The next prime is 140113114033127. The reversal of 140113114033113 is 311330411311041.

140113114033113 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 311 + 4 + 0 + 331 + 13 = 666.

It is not a de Polignac number, because 140113114033113 - 228 = 140112845597657 is a prime.

It is a super-2 number, since 2×1401131140331132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140113114033183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3787983 + ... + 17163188.

It is an arithmetic number, because the mean of its divisors is an integer number (2468990864340).

Almost surely, 2140113114033113 is an apocalyptic number.

140113114033113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

140113114033113 is a deficient number, since it is larger than the sum of its proper divisors (96910008943527).

140113114033113 is a wasteful number, since it uses less digits than its factorization.

140113114033113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20951301 (or 20951289 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 140113114033113 its reverse (311330411311041), we get a palindrome (451443525344154).

The spelling of 140113114033113 in words is "one hundred forty trillion, one hundred thirteen billion, one hundred fourteen million, thirty-three thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 29 39 73 81 87 117 219 243 261 351 377 657 783 949 1053 1131 1971 2117 2349 2847 3159 3393 5913 6351 7047 8541 10179 17739 19053 25623 27521 30537 57159 76869 82563 91611 171477 230607 247689 514431 743067 2229201 6687603 20951171 62853513 188560539 272365223 565681617 607583959 817095669 1529435483 1697044851 1822751877 2451287007 4588306449 5091134553 5468255631 7353861021 7898591467 13764919347 16404766893 19882661279 22061583063 23695774401 41294758041 44353629007 49214300679 59647983837 66184749189 71087323203 123884274123 133060887021 147642902037 178943951511 213261969609 371652822369 399182661063 536831854533 576597177091 639785908827 1197547983189 1610495563599 1729791531273 1919357726481 3592643949567 4831486690797 5189374593819 10777931848701 15568123781457 46704371344371 140113114033113