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14132334054132 = 22327374583330721
BaseRepresentation
bin1100110110100111000011…
…0000000100101011110100
31212001001000122210102201200
43031221300300010223310
53323021010004213012
650020145445052500
72656012261301340
oct315516060045364
955031018712650
1014132334054132
114559542165178
121702b360b7130
137b689a564ca8
1436c01990c620
15197933b0d3dc
hexcda70c04af4

14132334054132 has 144 divisors (see below), whose sum is σ = 41939444182272. Its totient is φ = 3927810631680.

The previous prime is 14132334054121. The next prime is 14132334054133. The reversal of 14132334054132 is 23145043323141.

14132334054132 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 233 + 4 + 0 + 5 + 413 + 2 = 666.

It is a super-2 number, since 2×141323340541322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132334054133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42566532 + ... + 42897252.

Almost surely, 214132334054132 is an apocalyptic number.

14132334054132 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 14132334054132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20969722091136).

14132334054132 is an abundant number, since it is smaller than the sum of its proper divisors (27807110128140).

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

14132334054132 is a wasteful number, since it uses less digits than its factorization.

14132334054132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335358 (or 335353 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 14132334054132 its reverse (23145043323141), we get a palindrome (37277377377273).

The spelling of 14132334054132 in words is "fourteen trillion, one hundred thirty-two billion, three hundred thirty-four million, fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4583 4662 9166 9324 13749 18332 27498 32081 41247 54996 64162 82494 96243 128324 164988 169571 192486 288729 330721 339142 384972 508713 577458 661442 678284 992163 1017426 1154916 1186997 1322884 1526139 1984326 2034852 2315047 2373994 2976489 3052278 3560991 3968652 4630094 4747988 5952978 6104556 6945141 7121982 9260188 10682973 11905956 12236677 13890282 14243964 20835423 21365946 24473354 27780564 36710031 41670846 42731892 48946708 73420062 83341692 85656739 110130093 146840124 171313478 220260186 256970217 342626956 440520372 513940434 770910651 1027880868 1515694343 1541821302 3031388686 3083642604 4547083029 6062777372 9094166058 10609860401 13641249087 18188332116 21219720802 27282498174 31829581203 42439441604 54564996348 56080690691 63659162406 95488743609 112161381382 127318324812 168242072073 190977487218 224322762764 336484144146 381954974436 392564834837 504726216219 672968288292 785129669674 1009452432438 1177694504511 1570259339348 2018904864876 2355389009022 3533083513533 4710778018044 7066167027066 14132334054132