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1414004231241 = 347217919710103
BaseRepresentation
bin10100100100111001001…
…110000100110001001001
312000011210101102110020000
4110210321032010301021
5141131340040344431
63001330133553213
7204105225440400
oct24447116046111
95004711373200
101414004231241
114a5748586518
121aa0631a5809
13a3456067934
144c61c4a4637
1526bac82b9e6
hex14939384c49

1414004231241 has 120 divisors (see below), whose sum is σ = 2483654944320. Its totient is φ = 799330690368.

The previous prime is 1414004231219. The next prime is 1414004231291. The reversal of 1414004231241 is 1421324004141.

1414004231241 is a `hidden beast` number, since 1 + 4 + 1 + 400 + 4 + 231 + 24 + 1 = 666.

It is not a de Polignac number, because 1414004231241 - 25 = 1414004231209 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1414004231291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 139953796 + ... + 139963898.

It is an arithmetic number, because the mean of its divisors is an integer number (20697124536).

Almost surely, 21414004231241 is an apocalyptic number.

It is an amenable number.

1414004231241 is a deficient number, since it is larger than the sum of its proper divisors (1069650713079).

1414004231241 is a wasteful number, since it uses less digits than its factorization.

1414004231241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1414004231241 its reverse (1421324004141), we get a palindrome (2835328235382).

The spelling of 1414004231241 in words is "one trillion, four hundred fourteen billion, four million, two hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 179 189 197 441 537 567 591 1253 1323 1379 1611 1773 3759 3969 4137 4833 5319 8771 9653 10103 11277 12411 14499 15957 26313 28959 30309 33831 35263 37233 70721 78939 86877 90927 101493 105789 111699 212163 236817 246841 260631 272781 317367 495047 636489 710451 740523 781893 818343 952101 1485141 1727887 1808437 1909467 1990291 2221569 2856303 4455423 5183661 5425311 5728401 5970873 6664707 12659059 13366269 13932037 15550983 16275933 17912619 19994121 37977177 40098807 41796111 46652949 48827799 53737857 88613413 97524259 113931531 125388333 139958847 146483397 161213571 265840239 292572777 341794593 356262089 376164999 797520717 877718331 1025383779 1068786267 1128494997 2392562151 2493834623 2633154993 3206358801 7177686453 7481503869 7899464979 9619076403 17456842361 22444511607 28857229209 52370527083 67333534821 157111581249 202000604463 471334743747 1414004231241