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14244425440 = 255723535147
BaseRepresentation
bin11010100010000100…
…01010111011100000
31100202201101210020121
431101002022323200
5213133033103230
610313243250024
71012663422100
oct152102127340
940681353217
1014244425440
11604a674733
122916519914
13146014c10b
14991b41200
1558581577a
hex35108aee0

14244425440 has 144 divisors (see below), whose sum is σ = 39265258032. Its totient is φ = 4869021696.

The previous prime is 14244425417. The next prime is 14244425453. The reversal of 14244425440 is 4452444241.

It is a happy number.

It is a super-2 number, since 2×142444254402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14244425396 and 14244425405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764947 + ... + 2770093.

It is an arithmetic number, because the mean of its divisors is an integer number (272675403).

Almost surely, 214244425440 is an apocalyptic number.

14244425440 is a gapful number since it is divisible by the number (10) 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 14244425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19632629016).

14244425440 is an abundant number, since it is smaller than the sum of its proper divisors (25020832592).

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

14244425440 is a wasteful number, since it uses less digits than its factorization.

14244425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 34.

Adding to 14244425440 its reverse (4452444241), we get a palindrome (18696869681).

The spelling of 14244425440 in words is "fourteen billion, two hundred forty-four million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 353 392 490 560 706 784 980 1120 1412 1568 1765 1960 2471 2824 3530 3920 4942 5147 5648 7060 7840 9884 10294 11296 12355 14120 17297 19768 20588 24710 25735 28240 34594 36029 39536 41176 49420 51470 56480 69188 72058 79072 82352 86485 98840 102940 138376 144116 164704 172970 180145 197680 205880 252203 276752 288232 345940 360290 395360 411760 504406 553504 576464 691880 720580 823520 1008812 1152928 1261015 1383760 1441160 1816891 2017624 2522030 2767520 2882320 3633782 4035248 5044060 5764640 7267564 8070496 9084455 10088120 12718237 14535128 18168910 20176240 25436474 29070256 36337820 40352480 50872948 58140512 63591185 72675640 89027659 101745896 127182370 145351280 178055318 203491792 254364740 290702560 356110636 406983584 445138295 508729480 712221272 890276590 1017458960 1424442544 1780553180 2034917920 2848885088 3561106360 7122212720 14244425440