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14093419648 = 277112362171
BaseRepresentation
bin11010010000000100…
…01000010010000000
31100101012020220020111
431020002020102000
5212330403412043
610250250521104
71006151043010
oct151002102200
940335226214
1014093419648
115a82405860
122893a36194
131437a8a489
14979a73c40
1557743809d
hex348088480

14093419648 has 128 divisors (see below), whose sum is σ = 36527293440. Its totient is φ = 5252121600.

The previous prime is 14093419633. The next prime is 14093419673. The reversal of 14093419648 is 84691439041.

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

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, 195603 + ... + 257773.

It is an arithmetic number, because the mean of its divisors is an integer number (285369480).

Almost surely, 214093419648 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 14093419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18263646720).

14093419648 is an abundant number, since it is smaller than the sum of its proper divisors (22433873792).

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

14093419648 is a wasteful number, since it uses less digits than its factorization.

14093419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62226 (or 62214 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 14093419648 in words is "fourteen billion, ninety-three million, four hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 128 154 161 176 184 224 253 308 322 352 368 448 506 616 644 704 736 896 1012 1232 1288 1408 1472 1771 2024 2464 2576 2944 3542 4048 4928 5152 7084 8096 9856 10304 14168 16192 20608 28336 32384 56672 62171 113344 124342 226688 248684 435197 497368 683881 870394 994736 1367762 1429933 1740788 1989472 2735524 2859866 3481576 3978944 4787167 5471048 5719732 6963152 7957888 9574334 10009531 10942096 11439464 13926304 15729263 19148668 20019062 21884192 22878928 27852608 31458526 38297336 40038124 43768384 45757856 55705216 62917052 76594672 80076248 87536768 91515712 110104841 125834104 153189344 160152496 183031424 220209682 251668208 306378688 320304992 440419364 503336416 612757376 640609984 880838728 1006672832 1281219968 1761677456 2013345664 3523354912 7046709824 14093419648