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14002013413212 = 223111730372054579
BaseRepresentation
bin1100101111000001100100…
…0010010001111101011100
31211120120122101111221110020
43023300121002101331130
53313402110413210322
645440234113312140
72643416642155656
oct313603102217534
954516571457406
1014002013413212
1145092475a3850
1216a1825b65650
137a74cc116606
143659b5a196d6
15194357a6005c
hexcbc19091f5c

14002013413212 has 96 divisors (see below), whose sum is σ = 37750491313920. Its totient is φ = 3992127237120.

The previous prime is 14002013413211. The next prime is 14002013413307. The reversal of 14002013413212 is 21231431020041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14002013413211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5787739 + ... + 7842317.

It is an arithmetic number, because the mean of its divisors is an integer number (393234284520).

Almost surely, 214002013413212 is an apocalyptic number.

14002013413212 is a gapful number since it is divisible by the number (12) 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 14002013413212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875245656960).

14002013413212 is an abundant number, since it is smaller than the sum of its proper divisors (23748477900708).

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

14002013413212 is a wasteful number, since it uses less digits than its factorization.

14002013413212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057651 (or 2057649 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14002013413212 its reverse (21231431020041), we get a palindrome (35233444433253).

The spelling of 14002013413212 in words is "fourteen trillion, two billion, thirteen million, four hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 3037 6074 9111 12148 18222 33407 36444 51629 66814 100221 103258 133628 154887 200442 206516 309774 400884 567919 619548 1135838 1703757 2054579 2271676 3407514 4109158 6163737 6815028 8218316 12327474 22600369 24654948 34927843 45200738 67801107 69855686 90401476 104783529 135602214 139711372 209567058 271204428 384206273 419134116 768412546 1152618819 1536825092 2305237638 4610475276 6239756423 12479512846 18719269269 24959025692 37438538538 68637320653 74877077076 106075859191 137274641306 205911961959 212151718382 274549282612 318227577573 411823923918 424303436764 636455155146 823647847836 1166834451101 1272910310292 2333668902202 3500503353303 4667337804404 7001006706606 14002013413212