Search a number
-
+
23424140424 = 23319236773299
BaseRepresentation
bin10101110100001100…
…000000010010001000
32020110110122121212110
4111310030000102020
5340433034443144
614432204342320
71456320623406
oct256414002210
966413577773
1023424140424
119a30353443
1246588449a0
132293c03629
1411c2d78476
159216910b9
hex574300488

23424140424 has 128 divisors (see below), whose sum is σ = 64437120000. Its totient is φ = 7062891264.

The previous prime is 23424140413. The next prime is 23424140471. The reversal of 23424140424 is 42404142432.

It is a junction number, because it is equal to n+sod(n) for n = 23424140391 and 23424140400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7098727 + ... + 7102025.

It is an arithmetic number, because the mean of its divisors is an integer number (503415000).

Almost surely, 223424140424 is an apocalyptic number.

23424140424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23424140424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32218560000).

23424140424 is an abundant number, since it is smaller than the sum of its proper divisors (41012979576).

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

23424140424 is a wasteful number, since it uses less digits than its factorization.

23424140424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 23424140424 its reverse (42404142432), we get a palindrome (65828282856).

The spelling of 23424140424 in words is "twenty-three billion, four hundred twenty-four million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 677 874 1311 1354 1748 2031 2622 2708 3299 3496 4062 5244 5416 6598 8124 9897 10488 12863 13196 15571 16248 19794 25726 26392 31142 38589 39588 46713 51452 62284 62681 75877 77178 79176 93426 102904 124568 125362 151754 154356 186852 188043 227631 250724 295849 303508 308712 373704 376086 455262 501448 591698 607016 752172 887547 910524 1183396 1441663 1504344 1775094 1821048 2233423 2366792 2883326 3550188 4324989 4466846 5766652 6700269 7100376 8649978 8933692 11533304 13400538 17299956 17867384 26801076 34599912 42435037 51368729 53602152 84870074 102737458 127305111 154106187 169740148 205474916 254610222 308212374 339480296 410949832 509220444 616424748 976005851 1018440888 1232849496 1952011702 2928017553 3904023404 5856035106 7808046808 11712070212 23424140424