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14216845916840 = 2357271548334171
BaseRepresentation
bin1100111011100001111000…
…0011001111101010101000
31212100010011102202212210212
43032320132003033222220
53330412100023314330
650123043455400252
72665063460261540
oct316703603175250
955303142685725
1014216845916840
11459136a984506
1217173a0b23088
137c1848367c48
143721559a0320
15199c2d260295
hexcee1e0cfaa8

14216845916840 has 128 divisors (see below), whose sum is σ = 36700268728320. Its totient is φ = 4855332844800.

The previous prime is 14216845916797. The next prime is 14216845916857. The reversal of 14216845916840 is 4861954861241.

It is a self number, because there is not a number n which added to its sum of digits gives 14216845916840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416032955 + ... + 416067125.

It is an arithmetic number, because the mean of its divisors is an integer number (286720849440).

Almost surely, 214216845916840 is an apocalyptic number.

14216845916840 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 14216845916840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350134364160).

14216845916840 is an abundant number, since it is smaller than the sum of its proper divisors (22483422811480).

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

14216845916840 is a wasteful number, since it uses less digits than its factorization.

14216845916840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39943 (or 39939 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 59.

The spelling of 14216845916840 in words is "fourteen trillion, two hundred sixteen billion, eight hundred forty-five million, nine hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 271 280 542 1084 1355 1897 2168 2710 3794 5420 5483 7588 9485 10840 10966 15176 18970 21932 27415 34171 37940 38381 43864 54830 68342 75880 76762 109660 136684 153524 170855 191905 219320 239197 273368 307048 341710 383810 478394 683420 767620 956788 1195985 1366840 1485893 1535240 1913576 2391970 2971786 4783940 5943572 7429465 9260341 9567880 10401251 11887144 14858930 18520682 20802502 29717860 37041364 41605004 46301705 52006255 59435720 64822387 74082728 83210008 92603410 104012510 129644774 185206820 187359593 208025020 259289548 324111935 370413640 374719186 416050040 518579096 648223870 749438372 936797965 1296447740 1311517151 1498876744 1873595930 2592895480 2623034302 3747191860 5246068604 6557585755 7494383720 10492137208 13115171510 26230343020 50774449703 52460686040 101548899406 203097798812 253872248515 355421147921 406195597624 507744497030 710842295842 1015488994060 1421684591684 1777105739605 2030977988120 2843369183368 3554211479210 7108422958420 14216845916840