Search a number
-
+
24444022040 = 2353122938597
BaseRepresentation
bin10110110000111110…
…100010110100011000
32100002112201222102122
4112300332202310120
5400030132201130
615121320120412
71523513521244
oct266076426430
970075658378
1024444022040
11a404016609
1248a2306108
1323c72b2089
14127c5bd424
15980e9d2e5
hex5b0fa2d18

24444022040 has 64 divisors (see below), whose sum is σ = 56804578560. Its totient is φ = 9456975360.

The previous prime is 24444022013. The next prime is 24444022051. The reversal of 24444022040 is 4022044442.

It is a super-4 number, since 4×244440220404 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839022 + ... + 2847618.

It is an arithmetic number, because the mean of its divisors is an integer number (887571540).

Almost surely, 224444022040 is an apocalyptic number.

24444022040 is a gapful number since it is divisible by the number (20) 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 24444022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28402289280).

24444022040 is an abundant number, since it is smaller than the sum of its proper divisors (32360556520).

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

24444022040 is a wasteful number, since it uses less digits than its factorization.

24444022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10932 (or 10928 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 24444022040 its reverse (4022044442), we get a palindrome (28466066482).

It can be divided in two parts, 2444402 and 2040, that added together give a palindrome (2446442).

The spelling of 24444022040 in words is "twenty-four billion, four hundred forty-four million, twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2293 4586 8597 9172 11465 17194 18344 22930 34388 42985 45860 68776 71083 85970 91720 142166 171940 266507 284332 343880 355415 533014 568664 710830 1066028 1332535 1421660 2132056 2665070 2843320 5330140 10660280 19712921 39425842 78851684 98564605 157703368 197129210 394258420 611100551 788516840 1222201102 2444402204 3055502755 4888804408 6111005510 12222011020 24444022040