Search a number
-
+
14223443454252 = 223229281354713669
BaseRepresentation
bin1100111011111010011101…
…0010110110100100101100
31212100202012020012111201100
43032332213102312210230
53331014103011014002
650130054255443100
72665416121361514
oct316764722664454
955322166174640
1014223443454252
114594146030a6a
121718722526490
137c235a179736
143725bdcb4844
15199eb757b11c
hexcefa74b692c

14223443454252 has 144 divisors (see below), whose sum is σ = 37339103037600. Its totient is φ = 4559749770240.

The previous prime is 14223443454229. The next prime is 14223443454271. The reversal of 14223443454252 is 25245434432241.

14223443454252 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 344 + 3 + 4 + 54 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14223443454198 and 14223443454207.

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, 1040555274 + ... + 1040568942.

It is an arithmetic number, because the mean of its divisors is an integer number (259299326650).

Almost surely, 214223443454252 is an apocalyptic number.

14223443454252 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 14223443454252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18669551518800).

14223443454252 is an abundant number, since it is smaller than the sum of its proper divisors (23115659583348).

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

14223443454252 is a wasteful number, since it uses less digits than its factorization.

14223443454252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536 (or 17531 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 45.

Adding to 14223443454252 its reverse (25245434432241), we get a palindrome (39468877886493).

The spelling of 14223443454252 in words is "fourteen trillion, two hundred twenty-three billion, four hundred forty-three million, four hundred fifty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 281 348 522 562 843 1044 1124 1686 2529 3372 3547 5058 7094 8149 10116 10641 13669 14188 16298 21282 24447 27338 31923 32596 41007 42564 48894 54676 63846 73341 82014 97788 102863 123021 127692 146682 164028 205726 246042 293364 308589 396401 411452 492084 617178 792802 925767 996707 1189203 1234356 1585604 1851534 1993414 2378406 2990121 3567609 3703068 3840989 3986828 4756812 5980242 7135218 7681978 8970363 11522967 11960484 14270436 15363956 17940726 23045934 28904503 34568901 35881452 46091868 48483943 57809006 69137802 86713509 96967886 111388681 115618012 138275604 145451829 173427018 193935772 222777362 260140527 290903658 334166043 346854036 436355487 445554724 520281054 581807316 668332086 872710974 1002498129 1040562108 1336664172 1406034347 1745421948 2004996258 2812068694 4009992516 4218103041 5624137388 8436206082 12654309123 13623987983 16872412164 25308618246 27247975966 40871963949 50617236492 54495951932 81743927898 122615891847 163487855796 245231783694 395095651507 490463567388 790191303014 1185286954521 1580382606028 2370573909042 3555860863563 4741147818084 7111721727126 14223443454252