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24021413102440 = 2351353871604249
BaseRepresentation
bin1010111011000111010111…
…10010111000001101101000
310011001102110120200111222001
411131203223302320031220
511122031323223234230
6123031141305140344
75026330003265065
oct535435362701550
9104042416614861
1024021413102440
117721473506486
12283b61678a6b4
131053295472590
145d08dd405c6c
152b9cbab8e0ca
hex15d8ebcb8368

24021413102440 has 64 divisors (see below), whose sum is σ = 59303953170000. Its totient is φ = 8702096812032.

The previous prime is 24021413102417. The next prime is 24021413102461. The reversal of 24021413102440 is 4420131412042.

It can be written as a sum of positive squares in 8 ways, for example, as 1953347254884 + 22068065847556 = 1397622^2 + 4697666^2 .

It is a super-2 number, since 2×240214131024402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24021413102399 and 24021413102408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435774565 + ... + 435829684.

Almost surely, 224021413102440 is an apocalyptic number.

24021413102440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24021413102440 is an abundant number, since it is smaller than the sum of its proper divisors (35282540067560).

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

24021413102440 is a wasteful number, since it uses less digits than its factorization.

24021413102440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871604326 (or 871604322 counting only the distinct ones).

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

Adding to 24021413102440 its reverse (4420131412042), we get a palindrome (28441544514482).

The spelling of 24021413102440 in words is "twenty-four trillion, twenty-one billion, four hundred thirteen million, one hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 5512 6890 13780 27560 871604249 1743208498 3486416996 4358021245 6972833992 8716042490 11330855237 17432084980 22661710474 34864169960 45323420948 46195025197 56654276185 90646841896 92390050394 113308552370 184780100788 226617104740 230975125985 369560201576 453234209480 461950251970 600535327561 923900503940 1201070655122 1847801007880 2402141310244 3002676637805 4804282620488 6005353275610 12010706551220 24021413102440