Search a number
-
+
14223442022412 = 22372892341116101
BaseRepresentation
bin1100111011111010011100…
…1101011001000000001100
31212100202012010111202121020
43032332213031121000030
53331014102124204122
650130054205034140
72665416103246200
oct316764715310014
955322163452536
1014223442022412
114594145243227
121718721b55950
137c2359a97aac
143725bda20b00
15199eb7396c5c
hexcefa735900c

14223442022412 has 144 divisors (see below), whose sum is σ = 39057279377760. Its totient is φ = 4016428416000.

The previous prime is 14223442022381. The next prime is 14223442022429. The reversal of 14223442022412 is 21422024432241.

14223442022412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122451162 + ... + 122567262.

It is an arithmetic number, because the mean of its divisors is an integer number (271231106790).

Almost surely, 214223442022412 is an apocalyptic number.

14223442022412 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 14223442022412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19528639688880).

14223442022412 is an abundant number, since it is smaller than the sum of its proper divisors (24833837355348).

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

14223442022412 is a wasteful number, since it uses less digits than its factorization.

14223442022412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118552 (or 118543 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 14223442022412 its reverse (21422024432241), we get a palindrome (35645466454653).

The spelling of 14223442022412 in words is "fourteen trillion, two hundred twenty-three billion, four hundred forty-two million, twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 89 98 147 178 196 267 294 356 534 588 623 1068 1246 1869 2341 2492 3738 4361 4682 7023 7476 8722 9364 13083 14046 16387 17444 26166 28092 32774 49161 52332 65548 98322 114709 116101 196644 208349 229418 232202 344127 348303 416698 458836 464404 625047 688254 696606 812707 833396 1250094 1376508 1393212 1458443 1625414 2438121 2500188 2916886 3250828 4375329 4876242 5688949 5833772 8750658 9752484 10209101 10332989 11377898 17066847 17501316 20418202 20665978 22755796 30627303 30998967 34133694 40836404 41331956 61254606 61997934 68267388 72330923 122509212 123995868 144661846 216992769 271792441 289323692 433985538 506316461 543584882 815377323 867971076 1012632922 1087169764 1518949383 1630754646 1902547087 2025265844 3037898766 3261509292 3805094174 5707641261 6075797532 7610188348 11415282522 13317829609 22830565044 24189527249 26635659218 39953488827 48379054498 53271318436 72568581747 79906977654 96758108996 145137163494 159813955308 169326690743 290274326988 338653381486 507980072229 677306762972 1015960144458 1185286835201 2031920288916 2370573670402 3555860505603 4741147340804 7111721011206 14223442022412