Search a number
-
+
424321000123424 = 251011303285735267
BaseRepresentation
bin110000001111010101110111…
…0011110111010110000100000
32001122101200200001210011010212
41200132223232132322300200
5421104033402012422144
64102242213145513252
7155243115642003455
oct14036535636726040
92048350601704125
10424321000123424
111132245865a90a8
123b7103044a2828
131529c3b60b4b41
1476ad362dad82c
15340c86a0a249e
hex181eaee7bac20

424321000123424 has 96 divisors (see below), whose sum is σ = 844620015931776. Its totient is φ = 209819270707200.

The previous prime is 424321000123421. The next prime is 424321000123439.

It is a happy number.

424321000123424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4243210001234242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (424321000123421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12031655039 + ... + 12031690305.

It is an arithmetic number, because the mean of its divisors is an integer number (8798125165956).

Almost surely, 2424321000123424 is an apocalyptic number.

It is an amenable number.

424321000123424 is a deficient number, since it is larger than the sum of its proper divisors (420299015808352).

424321000123424 is a wasteful number, since it uses less digits than its factorization.

424321000123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39538 (or 39530 counting only the distinct ones).

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

It can be divided in two parts, 424321000 and 123424, that added together give a palindrome (424444424).

The spelling of 424321000123424 in words is "four hundred twenty-four trillion, three hundred twenty-one billion, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 101 202 404 808 1303 1616 2606 2857 3232 5212 5714 10424 11428 20848 22856 35267 41696 45712 70534 91424 131603 141068 263206 282136 288557 526412 564272 577114 1052824 1128544 1154228 2105648 2308456 3561967 3722671 4211296 4616912 7123934 7445342 9233824 14247868 14890684 28495736 29781368 45952901 56991472 59562736 91905802 100757819 113982944 119125472 183811604 201515638 367623208 375989771 403031276 735246416 751979542 806062552 1470492832 1503959084 1612125104 3007918168 3224250208 4641243001 6015836336 9282486002 10176539719 12031672672 18564972004 20353079438 37129944008 40706158876 74259888016 81412317752 131287438157 148519776032 162824635504 262574876314 325649271008 525149752628 1050299505256 2100599010512 4201198021024 13260031253857 26520062507714 53040125015428 106080250030856 212160500061712 424321000123424