Search a number
-
+
261440706353724 = 22354753107977487
BaseRepresentation
bin111011011100011101101000…
…011011101001101000111100
31021021200111011100012101200000
4323130131220123221220330
5233231421031311304344
62324012111421034300
7106032316265360352
oct7334355033515074
91237614140171600
10261440706353724
1176337420a9a797
12253a4b636b5990
13b2b59a2c4bb71
14487bb24c837d2
152035a157b3a69
hexedc7686e9a3c

261440706353724 has 144 divisors (see below), whose sum is σ = 713128249387008. Its totient is φ = 83683415469888.

The previous prime is 261440706353699. The next prime is 261440706353737. The reversal of 261440706353724 is 427353607044162.

261440706353724 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 40 + 7 + 0 + 63 + 537 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51567492 + ... + 56409995.

It is an arithmetic number, because the mean of its divisors is an integer number (4952279509632).

Almost surely, 2261440706353724 is an apocalyptic number.

It is an amenable number.

261440706353724 is an abundant number, since it is smaller than the sum of its proper divisors (451687543033284).

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

261440706353724 is a wasteful number, since it uses less digits than its factorization.

261440706353724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107977606 (or 107977592 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 261440706353724 in words is "two hundred sixty-one trillion, four hundred forty billion, seven hundred six million, three hundred fifty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 53 54 81 94 106 108 141 159 162 188 212 243 282 318 324 423 477 486 564 636 846 954 972 1269 1431 1692 1908 2491 2538 2862 3807 4293 4982 5076 5724 7473 7614 8586 9964 11421 12879 14946 15228 17172 22419 22842 25758 29892 44838 45684 51516 67257 89676 134514 201771 269028 403542 605313 807084 1210626 2421252 107977487 215954974 323932461 431909948 647864922 971797383 1295729844 1943594766 2915392149 3887189532 5074941889 5722806811 5830784298 8746176447 10149883778 11445613622 11661568596 15224825667 17168420433 17492352894 20299767556 22891227244 26238529341 30449651334 34336840866 34984705788 45674477001 51505261299 52477058682 60899302668 68673681732 91348954002 103010522598 104954117364 137023431003 154515783897 182697908004 206021045196 268971920117 274046862006 309031567794 411070293009 463547351691 537943840234 548093724012 618063135588 806915760351 822140586018 927094703382 1075887680468 1233210879027 1390642055073 1613831520702 1644281172036 1854189406764 2420747281053 2466421758054 2781284110146 3227663041404 4841494562106 4932843516108 5562568220292 7262241843159 9682989124212 14524483686318 21786725529477 29048967372636 43573451058954 65360176588431 87146902117908 130720353176862 261440706353724