Search a number
-
+
14011242401412 = 2234268716093999
BaseRepresentation
bin1100101111100011111100…
…1000000100111010000100
31211121110110120111010020000
43023320333020010322010
53314030011023321122
645444401554441300
72644164435240054
oct313707710047204
954543416433200
1014011242401412
114512153077223
1216a3580893230
137a8340160489
1436620d5db564
151946e7dc00ac
hexcbe3f204e84

14011242401412 has 60 divisors (see below), whose sum is σ = 36641789184000. Its totient is φ = 4668675691824.

The previous prime is 14011242401411. The next prime is 14011242401477. The reversal of 14011242401412 is 21410424211041.

14011242401412 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 2 + 4 + 240 + 1 + 412 = 666.

It is a super-2 number, since 2×140112424014122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14011242401411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7176412 + ... + 8917587.

It is an arithmetic number, because the mean of its divisors is an integer number (610696486400).

Almost surely, 214011242401412 is an apocalyptic number.

14011242401412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14011242401412 is an abundant number, since it is smaller than the sum of its proper divisors (22630546782588).

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

14011242401412 is a wasteful number, since it uses less digits than its factorization.

14011242401412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16096702 (or 16096691 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14011242401412 its reverse (21410424211041), we get a palindrome (35421666612453).

The spelling of 14011242401412 in words is "fourteen trillion, eleven billion, two hundred forty-two million, four hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2687 5374 8061 10748 16122 24183 32244 48366 72549 96732 145098 217647 290196 435294 870588 16093999 32187998 48281997 64375996 96563994 144845991 193127988 289691982 434537973 579383964 869075946 1303613919 1738151892 2607227838 5214455676 43244575313 86489150626 129733725939 172978301252 259467451878 389201177817 518934903756 778402355634 1167603533451 1556804711268 2335207066902 3502810600353 4670414133804 7005621200706 14011242401412