Search a number
-
+
124432331306661 = 3272521541572901
BaseRepresentation
bin11100010010101110101000…
…111001111111011010100101
3121022120121121010002122202200
4130102232220321333122211
5112302144403303303121
61120351231315125113
735131640111521500
oct3422565071773245
9538517533078680
10124432331306661
1136714501095424
1211b5799bba3799
135457bc2c12611
1422a27b2478137
15e5bb8563aa26
hex712ba8e7f6a5

124432331306661 has 36 divisors (see below), whose sum is σ = 209481481639404. Its totient is φ = 70967712816000.

The previous prime is 124432331306651. The next prime is 124432331306677. The reversal of 124432331306661 is 166603133234421.

It can be written as a sum of positive squares in 2 ways, for example, as 9894604333761 + 114537726972900 = 3145569^2 + 10702230^2 .

It is not a de Polignac number, because 124432331306661 - 211 = 124432331304613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124432331306641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270556690 + ... + 271016211.

It is an arithmetic number, because the mean of its divisors is an integer number (5818930045539).

Almost surely, 2124432331306661 is an apocalyptic number.

It is an amenable number.

124432331306661 is a deficient number, since it is larger than the sum of its proper divisors (85049150332743).

124432331306661 is a wasteful number, since it uses less digits than its factorization.

124432331306661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541573442 (or 541573432 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 124432331306661 in words is "one hundred twenty-four trillion, four hundred thirty-two billion, three hundred thirty-one million, three hundred six thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 521 1563 3647 4689 10941 25529 32823 76587 229761 541572901 1624718703 3791010307 4874156109 11373030921 26537072149 34119092763 79611216447 238833649341 282159481421 846478444263 1975116369947 2539435332789 5925349109841 13825814589629 17776047329523 41477443768887 124432331306661