Search a number
-
+
12014420400 = 2432523337339
BaseRepresentation
bin10110011000001110…
…11000000110110000
31011000022020210102100
423030013120012300
5144101142423100
65304102420400
7603504613503
oct131407300660
934008223370
1012014420400
115105910964
1223b3731700
1311961433c8
1481d8d313a
154a4b6d400
hex2cc1d81b0

12014420400 has 90 divisors (see below), whose sum is σ = 41693388620. Its totient is φ = 3203844480.

The previous prime is 12014420389. The next prime is 12014420401. The reversal of 12014420400 is 402441021.

12014420400 is a `hidden beast` number, since 1 + 201 + 4 + 420 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12014420401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1665070 + ... + 1672269.

Almost surely, 212014420400 is an apocalyptic number.

12014420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014420400 is an abundant number, since it is smaller than the sum of its proper divisors (29678968220).

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

12014420400 is a wasteful number, since it uses less digits than its factorization.

12014420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337363 (or 3337349 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12014420400 its reverse (402441021), we get a palindrome (12416861421).

The spelling of 12014420400 in words is "twelve billion, fourteen million, four hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3337339 6674678 10012017 13349356 16686695 20024034 26698712 30036051 33373390 40048068 50060085 53397424 60072102 66746780 80096136 83433475 100120170 120144204 133493560 150180255 160192272 166866950 200240340 240288408 250300425 266987120 300360510 333733900 400480680 480576816 500600850 600721020 667467800 750901275 800961360 1001201700 1201442040 1334935600 1501802550 2002403400 2402884080 3003605100 4004806800 6007210200 12014420400