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14071356355446 = 233131711701100769
BaseRepresentation
bin1100110011000011111000…
…1100100111001101110110
31211211012122000111101112000
43030300332030213031312
53321021114211333241
645532143013240130
72651423220355215
oct314607614471566
954735560441460
1014071356355446
1145356a0906675
1216b3158933046
137b0c003a8690
143690b327507c
15196065631eb6
hexccc3e327376

14071356355446 has 128 divisors (see below), whose sum is σ = 35659326729600. Its totient is φ = 4074574233600.

The previous prime is 14071356355439. The next prime is 14071356355451. The reversal of 14071356355446 is 64455365317041.

14071356355446 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 1 + 35 + 63 + 5 + 544 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14071356355392 and 14071356355401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139589350 + ... + 139690118.

It is an arithmetic number, because the mean of its divisors is an integer number (278588490075).

Almost surely, 214071356355446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14071356355446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829663364800).

14071356355446 is an abundant number, since it is smaller than the sum of its proper divisors (21587970374154).

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

14071356355446 is a wasteful number, since it uses less digits than its factorization.

14071356355446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112511 (or 112505 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 14071356355446 in words is "fourteen trillion, seventy-one billion, three hundred fifty-six million, three hundred fifty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 11701 11934 23402 35103 70206 100769 105309 152113 198917 201538 210618 302307 304226 315927 397834 456339 596751 604614 631854 906921 912678 1193502 1309997 1369017 1713073 1790253 1813842 2585921 2619994 2720763 2738034 3426146 3580506 3929991 4107051 5139219 5171842 5370759 5441526 7757763 7859982 8214102 10278438 10741518 11789973 15417657 15515526 22269949 23273289 23579946 30835314 35369919 44539898 46252971 46546578 66809847 69819867 70739838 92505942 133619694 139639734 200429541 400859082 601288623 1179098069 1202577246 2358196138 3537294207 7074588414 10611882621 15328274897 20044667173 21223765242 30656549794 31835647863 40089334346 45984824691 60134001519 63671295726 91969649382 120268003038 137954474073 180402004557 260580673249 275908948146 360804009114 413863422219 521161346498 541206013671 781742019747 827726844438 1082412027342 1563484039494 2345226059241 4690452118482 7035678177723 14071356355446