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14142222211332 = 22317591816491677
BaseRepresentation
bin1100110111001011111000…
…1000011001100100000100
31212001222112210002212101010
43031302332020121210010
53323201232341230312
650024502554402220
72656512310245105
oct315627610314404
955058483085333
1014142222211332
11456275682a016
121704a35730370
137b77b5023397
1436c6b6c7a3ac
15197d11c7793c
hexcdcbe219904

14142222211332 has 96 divisors (see below), whose sum is σ = 35728118375040. Its totient is φ = 4337478236160.

The previous prime is 14142222211331. The next prime is 14142222211367. The reversal of 14142222211332 is 23311222224141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14142222211332.

It is not an unprimeable number, because it can be changed into a prime (14142222211331) 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, 1067323 + ... + 5424354.

It is an arithmetic number, because the mean of its divisors is an integer number (372167899740).

Almost surely, 214142222211332 is an apocalyptic number.

14142222211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14142222211332 is an abundant number, since it is smaller than the sum of its proper divisors (21585896163708).

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

14142222211332 is a wasteful number, since it uses less digits than its factorization.

14142222211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491941 (or 6491939 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 14142222211332 its reverse (23311222224141), we get a palindrome (37453444435473).

The spelling of 14142222211332 in words is "fourteen trillion, one hundred forty-two billion, two hundred twenty-two million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 181 204 236 354 362 543 708 724 1003 1086 2006 2172 3009 3077 4012 6018 6154 9231 10679 12036 12308 18462 21358 32037 36924 42716 64074 128148 181543 363086 544629 726172 1089258 2178516 6491677 12983354 19475031 25966708 38950062 77900124 110358509 220717018 331075527 383008943 441434036 662151054 766017886 1149026829 1174993537 1324302108 1532035772 2298053658 2349987074 3524980611 4596107316 4699974148 6511152031 7049961222 13022304062 14099922444 19533456093 19974890129 26044608124 39066912186 39949780258 59924670387 69324618683 78133824372 79899560516 119849340774 138649237366 207973856049 239698681548 277298474732 415947712098 831895424196 1178518517611 2357037035222 3535555552833 4714074070444 7071111105666 14142222211332