Search a number
-
+
121042441311441 = 313611091387333647
BaseRepresentation
bin11011100001011001100011…
…101101111001010011010001
3120212120112200212000110122020
4123201121203231321103101
5111331124404433431231
61105234044020002053
734332012351140106
oct3341314355712321
9525515625013566
10121042441311441
11356278a1606601
12116aaa04830329
13527033a499140
1421c66b1db8aad
15ded8d1d8a396
hex6e1663b794d1

121042441311441 has 64 divisors (see below), whose sum is σ = 178292611875840. Its totient is φ = 72586986762240.

The previous prime is 121042441311439. The next prime is 121042441311479. The reversal of 121042441311441 is 144113144240121.

It is a happy number.

It is not a de Polignac number, because 121042441311441 - 21 = 121042441311439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121042441311541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3597404680 + ... + 3597438326.

It is an arithmetic number, because the mean of its divisors is an integer number (2785822060560).

Almost surely, 2121042441311441 is an apocalyptic number.

It is an amenable number.

121042441311441 is a deficient number, since it is larger than the sum of its proper divisors (57250170564399).

121042441311441 is a wasteful number, since it uses less digits than its factorization.

121042441311441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47706.

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 121042441311441 its reverse (144113144240121), we get a palindrome (265155585551562).

The spelling of 121042441311441 in words is "one hundred twenty-one trillion, forty-two billion, four hundred forty-one million, three hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 13 39 61 109 183 327 793 1417 2379 4251 6649 13873 19947 33647 41619 86437 100941 180349 259311 437411 541047 846253 1312233 1512157 2052467 2538759 3667523 4536471 6157401 11001289 11002569 19658041 26682071 33003867 47677799 58974123 80046213 92241577 143033397 223718903 276724731 466784831 671156709 1199140501 1400354493 2908345739 3597421503 6068202803 8725037217 18204608409 28473874691 50879546579 85421624073 152638639737 370160370983 661434105527 1110481112949 1984302316581 3103652341319 9310957023957 40347480437147 121042441311441