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14124234420 = 22325217936011
BaseRepresentation
bin11010010011101111…
…01011011010110100
31100110100020110011100
431021313223122310
5212411301000140
610253311210100
71010004004002
oct151167533264
940410213140
1014124234420
115a9884240a
1228a2216930
13144128927a
1497dbb5a72
15579ec3530
hex349deb6b4

14124234420 has 72 divisors (see below), whose sum is σ = 42864363360. Its totient is φ = 3764629440.

The previous prime is 14124234401. The next prime is 14124234433. The reversal of 14124234420 is 2443242141.

14124234420 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 4 + 234 + 420 = 666.

It is a super-3 number, since 3×141242344203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374215 + ... + 410225.

It is an arithmetic number, because the mean of its divisors is an integer number (595338380).

Almost surely, 214124234420 is an apocalyptic number.

14124234420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124234420 is an abundant number, since it is smaller than the sum of its proper divisors (28740128940).

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

14124234420 is a wasteful number, since it uses less digits than its factorization.

14124234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38205 (or 38200 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14124234420 its reverse (2443242141), we get a palindrome (16567476561).

The spelling of 14124234420 in words is "fourteen billion, one hundred twenty-four million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2179 4358 6537 8716 10895 13074 19611 21790 26148 32685 36011 39222 43580 65370 72022 78444 98055 108033 130740 144044 180055 196110 216066 324099 360110 392220 432132 540165 648198 720220 1080330 1296396 1620495 2160660 3240990 6481980 78467969 156935938 235403907 313871876 392339845 470807814 706211721 784679690 941615628 1177019535 1412423442 1569359380 2354039070 2824846884 3531058605 4708078140 7062117210 14124234420