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14240838744 = 2334116729819
BaseRepresentation
bin11010100001101000…
…11111010001011000
31100202110122120020000
431100310133101120
5213131123314434
610313034333000
71012621063206
oct152064372130
940673576200
1014240838744
116048644a20
12291528a160
13145c494702
1499148a076
15585357b99
hex350d1f458

14240838744 has 160 divisors (see below), whose sum is σ = 44164612800. Its totient is φ = 4250854080.

The previous prime is 14240838739. The next prime is 14240838847. The reversal of 14240838744 is 44783804241.

14240838744 is a `hidden beast` number, since 142 + 408 + 38 + 74 + 4 = 666.

It is a super-2 number, since 2×142408387442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14240838744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 462667 + ... + 492485.

It is an arithmetic number, because the mean of its divisors is an integer number (276028830).

Almost surely, 214240838744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14240838744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082306400).

14240838744 is an abundant number, since it is smaller than the sum of its proper divisors (29923774056).

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

14240838744 is a wasteful number, since it uses less digits than its factorization.

14240838744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29915 (or 29902 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 14240838744 in words is "fourteen billion, two hundred forty million, eight hundred thirty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 67 72 81 88 99 108 132 134 162 198 201 216 264 268 297 324 396 402 536 594 603 648 737 792 804 891 1188 1206 1474 1608 1782 1809 2211 2376 2412 2948 3564 3618 4422 4824 5427 5896 6633 7128 7236 8844 10854 13266 14472 17688 19899 21708 26532 29819 39798 43416 53064 59638 59697 79596 89457 119276 119394 159192 178914 238552 238788 268371 328009 357828 477576 536742 656018 715656 805113 984027 1073484 1312036 1610226 1968054 1997873 2146968 2415339 2624072 2952081 3220452 3936108 3995746 4830678 5904162 5993619 6440904 7872216 7991492 8856243 9661356 11808324 11987238 15982984 17712486 17980857 19322712 21976603 23616648 23974476 26568729 35424972 35961714 43953206 47948952 53137458 53942571 65929809 70849944 71923428 87906412 106274916 107885142 131859618 143846856 161827713 175812824 197789427 212549832 215770284 263719236 323655426 395578854 431540568 527438472 593368281 647310852 791157708 1186736562 1294621704 1582315416 1780104843 2373473124 3560209686 4746946248 7120419372 14240838744