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1240401431241 = 327172574506503
BaseRepresentation
bin10010000011001101101…
…011111100101011001001
311101120200201010110121200
4102003031223330223021
5130310320231244431
62345455455254413
7155421206126220
oct22031553745311
94346621113550
101240401431241
114390622a8395
12180493b1a409
138cc7a89013b
144407014dcb7
15223eba69ee6
hex120cdafcac9

1240401431241 has 48 divisors (see below), whose sum is σ = 2176533275904. Its totient is φ = 664510758912.

The previous prime is 1240401431233. The next prime is 1240401431249. The reversal of 1240401431241 is 1421341040421.

1240401431241 is a `hidden beast` number, since 1 + 2 + 404 + 0 + 14 + 3 + 1 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (1240401431233) and next prime (1240401431249).

It is not a de Polignac number, because 1240401431241 - 23 = 1240401431233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1240401431249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1978005 + ... + 2528498.

It is an arithmetic number, because the mean of its divisors is an integer number (45344443248).

Almost surely, 21240401431241 is an apocalyptic number.

It is an amenable number.

1240401431241 is a deficient number, since it is larger than the sum of its proper divisors (936131844663).

1240401431241 is a wasteful number, since it uses less digits than its factorization.

1240401431241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506790 (or 4506787 counting only the distinct ones).

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

Adding to 1240401431241 its reverse (1421341040421), we get a palindrome (2661742471662).

The spelling of 1240401431241 in words is "one trillion, two hundred forty billion, four hundred one million, four hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 257 357 771 1071 1799 2313 4369 5397 13107 16191 30583 39321 91749 275247 4506503 13519509 31545521 40558527 76610551 94636563 229831653 283909689 536273857 689494959 1158171271 1608821571 3474513813 4826464713 8107198897 10423541439 19688911607 24321596691 59066734821 72964790073 137822381249 177200204463 413467143747 1240401431241