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14421208838784 = 2731123111477331
BaseRepresentation
bin1101000111011011001100…
…0001111011001010000000
31220001122122211122222001220
43101312303001323022000
53342234113430320114
650401002322155040
73015616666405566
oct321666301731200
956048584588056
1014421208838784
11466000047a520
12174ab157b2a80
13807bb6537527
1437bdc12a7a36
151a01de7470a9
hexd1db307b280

14421208838784 has 128 divisors (see below), whose sum is σ = 41806840988160. Its totient is φ = 4368169344000.

The previous prime is 14421208838783. The next prime is 14421208838801. The reversal of 14421208838784 is 48783880212441.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (14421208838783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9022999 + ... + 10500329.

It is an arithmetic number, because the mean of its divisors is an integer number (326615945220).

Almost surely, 214421208838784 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 14421208838784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20903420494080).

14421208838784 is an abundant number, since it is smaller than the sum of its proper divisors (27385632149376).

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

14421208838784 is a wasteful number, since it uses less digits than its factorization.

14421208838784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479670 (or 1479658 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 60.

The spelling of 14421208838784 in words is "fourteen trillion, four hundred twenty-one billion, two hundred eight million, eight hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2311 4224 4622 6933 9244 13866 18488 25421 27732 36976 50842 55464 73952 76263 101684 110928 147904 152526 203368 221856 295808 305052 406736 443712 610104 813472 887424 1220208 1477331 1626944 2440416 2954662 3253888 4431993 4880832 5909324 8863986 9761664 11818648 16250641 17727972 23637296 32501282 35455944 47274592 48751923 65002564 70911888 94549184 97503846 130005128 141823776 189098368 195007692 260010256 283647552 390015384 520020512 567295104 780030768 1040041024 1560061536 2080082048 3120123072 3414111941 6240246144 6828223882 10242335823 13656447764 20484671646 27312895528 37555231351 40969343292 54625791056 75110462702 81938686584 109251582112 112665694053 150220925404 163877373168 218503164224 225331388106 300441850808 327754746336 437006328448 450662776212 600883701616 655509492672 901325552424 1201767403232 1311018985344 1802651104848 2403534806464 3605302209696 4807069612928 7210604419392 14421208838784