Search a number
-
+
24413144140 = 22571141386651
BaseRepresentation
bin10110101111001000…
…110000010001001100
32100000101122012220201
4112233020300101030
5344444231103030
615114254223244
71522660205230
oct265710602114
970011565821
1024413144140
11a398646590
124893ab4b24
1323c0a90628
1412784625c0
1597d3ee2ca
hex5af23044c

24413144140 has 96 divisors (see below), whose sum is σ = 65477196288. Its totient is φ = 7423680000.

The previous prime is 24413144131. The next prime is 24413144143. The reversal of 24413144140 is 4144131442.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 24413144099 and 24413144108.

It is not an unprimeable number, because it can be changed into a prime (24413144143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130186 + ... + 256465.

It is an arithmetic number, because the mean of its divisors is an integer number (682054128).

Almost surely, 224413144140 is an apocalyptic number.

24413144140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24413144140 is an abundant number, since it is smaller than the sum of its proper divisors (41064052148).

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

24413144140 is a wasteful number, since it uses less digits than its factorization.

24413144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386719 (or 386717 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 24413144140 its reverse (4144131442), we get a palindrome (28557275582).

The spelling of 24413144140 in words is "twenty-four billion, four hundred thirteen million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 220 287 308 385 410 451 574 770 820 902 1148 1435 1540 1804 2255 2870 3157 4510 5740 6314 9020 12628 15785 31570 63140 386651 773302 1546604 1933255 2706557 3866510 4253161 5413114 7733020 8506322 10826228 13532785 15852691 17012644 21265805 27065570 29772127 31705382 42531610 54131140 59544254 63410764 79263455 85063220 110968837 119088508 148860635 158526910 174379601 221937674 297721270 317053820 348759202 443875348 554844185 595442540 697518404 871898005 1109688370 1220657207 1743796010 2219376740 2441314414 3487592020 4882628828 6103286035 12206572070 24413144140