Search a number
-
+
14140214231100 = 22352101466673737
BaseRepresentation
bin1100110111000100011001…
…1100100100000000111100
31212001210100211201220022220
43031301012130210000330
53323133124320343400
650023531424405340
72656411455555246
oct315610634440074
955053324656286
1014140214231100
114561916331821
121704575176850
137b75550138b9
1436c566305096
15197c4583a7a0
hexcdc4672403c

14140214231100 has 72 divisors (see below), whose sum is σ = 41317426067568. Its totient is φ = 3733389888000.

The previous prime is 14140214231081. The next prime is 14140214231113. The reversal of 14140214231100 is 113241204141.

It is a happy number.

It is a super-3 number, since 3×141402142311003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233306569 + ... + 233367168.

Almost surely, 214140214231100 is an apocalyptic number.

14140214231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14140214231100 is an abundant number, since it is smaller than the sum of its proper divisors (27177211836468).

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

14140214231100 is a wasteful number, since it uses less digits than its factorization.

14140214231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466673855 (or 466673848 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14140214231100 its reverse (113241204141), we get a palindrome (14253455435241).

The spelling of 14140214231100 in words is "fourteen trillion, one hundred forty billion, two hundred fourteen million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 466673737 933347474 1400021211 1866694948 2333368685 2800042422 4666737370 5600084844 7000106055 9333474740 11666843425 14000212110 23333686850 28000424220 35000530275 46667373700 47134047437 70001060550 94268094874 140002121100 141402142311 188536189748 235670237185 282804284622 471340474370 565608569244 707010711555 942680948740 1178351185925 1414021423110 2356702371850 2828042846220 3535053557775 4713404743700 7070107115550 14140214231100