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14242321414132 = 22717239331378223
BaseRepresentation
bin1100111101000000110010…
…0000100011011111110100
31212102112220212102020021121
43033100030200203133310
53331321233240223012
650142455423553324
72666655000365440
oct317201440433764
955375825366247
1014242321414132
1145a11531616a9
12172031075b844
137c40782577b6
14373491161820
1519a71ea5aa07
hexcf40c8237f4

14242321414132 has 96 divisors (see below), whose sum is σ = 30377983426560. Its totient is φ = 5703466728960.

The previous prime is 14242321414127. The next prime is 14242321414171. The reversal of 14242321414132 is 23141412324241.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37466773 + ... + 37844995.

It is an arithmetic number, because the mean of its divisors is an integer number (316437327360).

Almost surely, 214242321414132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14242321414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188991713280).

14242321414132 is an abundant number, since it is smaller than the sum of its proper divisors (16135662012428).

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

14242321414132 is a wasteful number, since it uses less digits than its factorization.

14242321414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378821 (or 378819 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 14242321414132 its reverse (23141412324241), we get a palindrome (37383733738373).

The spelling of 14242321414132 in words is "fourteen trillion, two hundred forty-two billion, three hundred twenty-one million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 239 331 476 478 662 956 1324 1673 2317 3346 4063 4634 5627 6692 8126 9268 11254 16252 22508 28441 39389 56882 78778 79109 113764 157556 158218 316436 378223 553763 756446 1107526 1344853 1512892 2215052 2647561 2689706 5295122 5379412 6429791 9413971 10590244 12859582 18827942 25719164 37655884 45008537 90017074 90395297 125191813 180034148 180790594 250383626 361581188 500767252 632767079 876342691 1265534158 1536720049 1752685382 2128260821 2531068316 3073440098 3505370764 4256521642 6146880196 8513043284 10757040343 14897825747 21514080686 29795651494 29920843307 43028161372 59591302988 59841686614 119683373228 209445903149 418891806298 508654336219 837783612596 1017308672438 2034617344876 3560580353533 7121160707066 14242321414132