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240342502303341 = 36418041169069
BaseRepresentation
bin110110101001011100011001…
…011110010110011001101101
31011111222112000020001211000000
4312221130121132112121231
5223000232421042201331
62211055453222454513
7101424113155045554
oct6651343136263155
91144875006054000
10240342502303341
116a64275691a249
1222b57ba1894439
13a41527bc92459
14434c8d3c9cd9b
151cbbcd79850e6
hexda971979666d

240342502303341 has 28 divisors (see below), whose sum is σ = 369137907327420. Its totient is φ = 156320326681920.

The previous prime is 240342502303327. The next prime is 240342502303367. The reversal of 240342502303341 is 143303205243042.

240342502303341 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 4 + 2 + 5 + 0 + 2 + 303 + 341 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15551073945225 + 224791428358116 = 3943485^2 + 14993046^2 .

It is not a de Polignac number, because 240342502303341 - 213 = 240342502295149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240342502303296 and 240342502303305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240342502303741) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4020554646 + ... + 4020614423.

It is an arithmetic number, because the mean of its divisors is an integer number (13183496690265).

Almost surely, 2240342502303341 is an apocalyptic number.

It is an amenable number.

240342502303341 is a deficient number, since it is larger than the sum of its proper divisors (128795405024079).

240342502303341 is an frugal number, since it uses more digits than its factorization.

240342502303341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041169128 (or 8041169113 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 240342502303341 its reverse (143303205243042), we get a palindrome (383645707546383).

The spelling of 240342502303341 in words is "two hundred forty trillion, three hundred forty-two billion, five hundred two million, three hundred three thousand, three hundred forty-one".

Divisors: 1 3 9 27 41 81 123 243 369 729 1107 3321 9963 29889 8041169069 24123507207 72370521621 217111564863 329687931829 651334694589 989063795487 1954004083767 2967191386461 5862012251301 8901574159383 26704722478149 80114167434447 240342502303341