Search a number
-
+
12403414404144 = 2433113992518783
BaseRepresentation
bin1011010001111110010100…
…0111000000110000110000
31121220202101021110011202000
42310133211013000300300
53111204143041413034
642214014440454000
72420055112612401
oct264374507006060
947822337404660
1012403414404144
113a52293090605
121483a4647a300
136bc8385280ba
1430c48541b9a8
15167994469599
hexb47e51c0c30

12403414404144 has 80 divisors (see below), whose sum is σ = 35605530624000. Its totient is φ = 4134107121984.

The previous prime is 12403414404137. The next prime is 12403414404149. The reversal of 12403414404144 is 44140441430421.

12403414404144 is a `hidden beast` number, since 1 + 2 + 40 + 34 + 1 + 440 + 4 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12403414404099 and 12403414404108.

It is not an unprimeable number, because it can be changed into a prime (12403414404149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3664977 + ... + 6183759.

It is an arithmetic number, because the mean of its divisors is an integer number (445069132800).

Almost surely, 212403414404144 is an apocalyptic number.

It is an amenable number.

12403414404144 is an abundant number, since it is smaller than the sum of its proper divisors (23202116219856).

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

12403414404144 is a wasteful number, since it uses less digits than its factorization.

12403414404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530199 (or 2530187 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 12403414404144 its reverse (44140441430421), we get a palindrome (56543855834565).

The spelling of 12403414404144 in words is "twelve trillion, four hundred three billion, four hundred fourteen million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11399 22798 34197 45596 68394 91192 102591 136788 182384 205182 273576 307773 410364 547152 615546 820728 1231092 1641456 2462184 2518783 4924368 5037566 7556349 10075132 15112698 20150264 22669047 30225396 40300528 45338094 60450792 68007141 90676188 120901584 136014282 181352376 272028564 362704752 544057128 1088114256 28711607417 57423214834 86134822251 114846429668 172269644502 229692859336 258404466753 344539289004 459385718672 516808933506 689078578008 775213400259 1033617867012 1378157156016 1550426800518 2067235734024 3100853601036 4134471468048 6201707202072 12403414404144