Search a number
-
+
24044400402420 = 223517109216265519
BaseRepresentation
bin1010111011110010001011…
…11100011101111111110100
310011010121210121100100101210
411131321011330131333310
511122420413000334140
6123045502310521420
75031102441151266
oct535710574357764
9104117717310353
1024044400402420
11773019a211162
122843b71066270
1310554b9a05c28
145d1a80349b36
152ba6b3ce0d80
hex15de45f1dff4

24044400402420 has 96 divisors (see below), whose sum is σ = 71938562572800. Its totient is φ = 5979309041664.

The previous prime is 24044400402419. The next prime is 24044400402431. The reversal of 24044400402420 is 2420400444042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108021580 + ... + 108243939.

It is an arithmetic number, because the mean of its divisors is an integer number (749360026800).

Almost surely, 224044400402420 is an apocalyptic number.

24044400402420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24044400402420 is an abundant number, since it is smaller than the sum of its proper divisors (47894162170380).

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

24044400402420 is a wasteful number, since it uses less digits than its factorization.

24044400402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216265657 (or 216265655 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 24044400402420 its reverse (2420400444042), we get a palindrome (26464800846462).

The spelling of 24044400402420 in words is "twenty-four trillion, forty-four billion, four hundred million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 109 170 204 218 255 327 340 436 510 545 654 1020 1090 1308 1635 1853 2180 3270 3706 5559 6540 7412 9265 11118 18530 22236 27795 37060 55590 111180 216265519 432531038 648796557 865062076 1081327595 1297593114 2162655190 2595186228 3243982785 3676513823 4325310380 6487965570 7353027646 11029541469 12975931140 14706055292 18382569115 22059082938 23572941571 36765138230 44118165876 47145883142 55147707345 70718824713 73530276460 94291766284 110295414690 117864707855 141437649426 220590829380 235729415710 282875298852 353594123565 400740006707 471458831420 707188247130 801480013414 1202220020121 1414376494260 1602960026828 2003700033535 2404440040242 4007400067070 4808880080484 6011100100605 8014800134140 12022200201210 24044400402420