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24230144103242 = 27111276471914817
BaseRepresentation
bin1011000001001100001010…
…01000011101001101001010
310011210101020101212222221112
411200212011020131031022
511133441313342300432
6123311101411010322
75050366362440660
oct540460510351512
9104711211788845
1024230144103242
1177a1a45738820
122873b6a2999a2
131069b7b5a95cc
145daa60cb8c30
152c04358a67b2
hex16098521d34a

24230144103242 has 64 divisors (see below), whose sum is σ = 45740927287296. Its totient is φ = 9351501788160.

The previous prime is 24230144103199. The next prime is 24230144103259.

It is a happy number.

24230144103242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24230144103199 and 24230144103208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11696618 + ... + 13611434.

It is an arithmetic number, because the mean of its divisors is an integer number (714701988864).

Almost surely, 224230144103242 is an apocalyptic number.

24230144103242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24230144103242 is a deficient number, since it is larger than the sum of its proper divisors (21510783184054).

24230144103242 is a wasteful number, since it uses less digits than its factorization.

24230144103242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915611.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 2423014 and 4103242, that added together give a palindrome (6526256).

The spelling of 24230144103242 in words is "twenty-four trillion, two hundred thirty billion, one hundred forty-four million, one hundred three thousand, two hundred forty-two".

Divisors: 1 2 7 11 14 22 77 127 154 254 647 889 1294 1397 1778 2794 4529 7117 9058 9779 14234 19558 49819 82169 99638 164338 575183 903859 1150366 1807718 1914817 3829634 6327013 12654026 13403719 21062987 26807438 42125974 147440909 243181759 294881818 486363518 1238886599 1702272313 2477773198 2674999349 3404544626 5349998698 8672206193 13627752589 17344412386 18724995443 27255505178 37449990886 95394268123 157338598073 190788536246 314677196146 1101370186511 1730724578803 2202740373022 3461449157606 12115072051621 24230144103242