Search a number
-
+
24230723497036 = 227267101173105601
BaseRepresentation
bin1011000001001101001111…
…01010101010110001001100
310011210102201210010020210221
411200212213222222301030
511133444010203401121
6123311235105241124
75050416626264500
oct540464752526114
9104712653106727
1024230723497036
1177a22127a1971
1228740b03331a4
131069c4163bb84
145daab7c1a300
152c046b6a3b41
hex1609a7aaac4c

24230723497036 has 144 divisors (see below), whose sum is σ = 50851453599072. Its totient is φ = 10069678080000.

The previous prime is 24230723497031. The next prime is 24230723497087. The reversal of 24230723497036 is 63079432703242.

It is a super-2 number, since 2×242307234970362 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24230723497031) 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, 229402636 + ... + 229508236.

It is an arithmetic number, because the mean of its divisors is an integer number (353135094438).

Almost surely, 224230723497036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24230723497036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425726799536).

24230723497036 is an abundant number, since it is smaller than the sum of its proper divisors (26620730102036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24230723497036 is a wasteful number, since it uses less digits than its factorization.

24230723497036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105960 (or 105951 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 52.

The spelling of 24230723497036 in words is "twenty-four trillion, two hundred thirty billion, seven hundred twenty-three million, four hundred ninety-seven thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 67 98 101 134 173 196 202 268 346 404 469 692 707 938 1211 1414 1876 2422 2828 3283 4844 4949 6566 6767 8477 9898 11591 13132 13534 16954 17473 19796 23182 27068 33908 34946 46364 47369 69892 81137 94738 105601 122311 162274 189476 211202 244622 324548 331583 422404 489244 567959 663166 739207 856177 1135918 1170691 1326332 1478414 1712354 2271836 2341382 2956828 3424708 4682764 5174449 7075267 8194837 10348898 10665701 14150534 16389674 18268973 20697796 21331402 28301068 32779348 36537946 42662804 49526869 57363859 73075892 74659907 99053738 114727718 127882811 149319814 198107476 229455436 255765622 298639628 346688083 511531244 522619349 693376166 714601967 895179677 1045238698 1224021191 1386752332 1429203934 1790359354 1845166273 2090477396 2448042382 2858407868 3580718708 3690332546 4896084764 5002213769 7380665092 8568148337 10004427538 12916163911 17136296674 20008855076 25832327822 34272593348 35015496383 51664655644 59977038359 70030992766 90413147377 119954076718 123626140291 140061985532 180826294754 239908153436 247252280582 361652589508 494504561164 865382982037 1730765964074 3461531928148 6057680874259 12115361748518 24230723497036