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13943187216 = 2432721165557
BaseRepresentation
bin11001111110001010…
…00010011100010000
31022222201120022002100
430333011002130100
5212023423442331
610223322520400
71002345064410
oct147705023420
938881508070
1013943187216
115a05624a22
122851666100
13141290984a
14963b28640
1556915eae6
hex33f142710

13943187216 has 120 divisors (see below), whose sum is σ = 44808106304. Its totient is φ = 3964826880.

The previous prime is 13943187191. The next prime is 13943187253. The reversal of 13943187216 is 61278134931.

13943187216 is a `hidden beast` number, since 139 + 431 + 8 + 72 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179910 + ... + 245466.

Almost surely, 213943187216 is an apocalyptic number.

13943187216 is a gapful number since it is divisible by the number (16) 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 13943187216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404053152).

13943187216 is an abundant number, since it is smaller than the sum of its proper divisors (30864919088).

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

13943187216 is a wasteful number, since it uses less digits than its factorization.

13943187216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65789 (or 65780 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 13943187216 in words is "thirteen billion, nine hundred forty-three million, one hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 211 252 336 422 504 633 844 1008 1266 1477 1688 1899 2532 2954 3376 3798 4431 5064 5908 7596 8862 10128 11816 13293 15192 17724 23632 26586 30384 35448 53172 65557 70896 106344 131114 196671 212688 262228 393342 458899 524456 590013 786684 917798 1048912 1180026 1376697 1573368 1835596 2360052 2753394 3146736 3671192 4130091 4720104 5506788 7342384 8260182 9440208 11013576 13832527 16520364 22027152 27665054 33040728 41497581 55330108 66081456 82995162 96827689 110660216 124492743 165990324 193655378 221320432 248985486 290483067 331980648 387310756 497970972 580966134 663961296 774621512 871449201 995941944 1161932268 1549243024 1742898402 1991883888 2323864536 3485796804 4647729072 6971593608 13943187216