Search a number
-
+
124421134131441 = 3273348411156823
BaseRepresentation
bin11100010010100100001101…
…100000001010000011110001
3121022112112200202122012222100
4130102210031200022003301
5112302003440314201231
61120342140244531013
735131062456225000
oct3422441540120361
9538475622565870
10124421134131441
113670a785623a04
1211b557960b0a69
135456b2a1ac654
1422a202d31cc37
15e5b72c5ee1e6
hex71290d80a0f1

124421134131441 has 48 divisors (see below), whose sum is σ = 209591521401600. Its totient is φ = 71095688838720.

The previous prime is 124421134131397. The next prime is 124421134131491. The reversal of 124421134131441 is 144131431124421.

124421134131441 is a `hidden beast` number, since 1 + 2 + 4 + 42 + 11 + 34 + 131 + 441 = 666.

It is not a de Polignac number, because 124421134131441 - 211 = 124421134129393 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124421134131396 and 124421134131405.

It is not an unprimeable number, because it can be changed into a prime (124421134131491) 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, 106975756 + ... + 108132578.

It is an arithmetic number, because the mean of its divisors is an integer number (4366490029200).

Almost surely, 2124421134131441 is an apocalyptic number.

It is an amenable number.

124421134131441 is a deficient number, since it is larger than the sum of its proper divisors (85170387270159).

124421134131441 is a wasteful number, since it uses less digits than its factorization.

124421134131441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191691 (or 1191674 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 124421134131441 its reverse (144131431124421), we get a palindrome (268552565255862).

The spelling of 124421134131441 in words is "one hundred twenty-four trillion, four hundred twenty-one billion, one hundred thirty-four million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 34841 104523 243887 313569 731661 1156823 1707209 2194983 3470469 5121627 8097761 10411407 11950463 15364881 24293283 35851389 56684327 72879849 107554167 170052981 396790289 510158943 1190370867 3571112601 40304870143 120914610429 282134091001 362743831287 846402273003 1974938637007 2539206819009 5924815911021 13824570459049 17774447733063 41473711377147 124421134131441