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1214946144 = 25324218563
BaseRepresentation
bin100100001101010…
…1001101101100000
310010200010122210100
41020122221231200
54442011234034
6320320302400
742051605016
oct11032515540
93120118710
101214946144
11573895025
1229aa71a00
13164928459
14b75008b6
15719de099
hex486a9b60

1214946144 has 36 divisors (see below), whose sum is σ = 3455003916. Its totient is φ = 404981952.

The previous prime is 1214946137. The next prime is 1214946163. The reversal of 1214946144 is 4416494121.

It is a happy number.

1214946144 is a `hidden beast` number, since 1 + 21 + 494 + 6 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1214946099 and 1214946108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2108994 + ... + 2109569.

It is an arithmetic number, because the mean of its divisors is an integer number (95972331).

Almost surely, 21214946144 is an apocalyptic number.

It is an amenable number.

1214946144 is an abundant number, since it is smaller than the sum of its proper divisors (2240057772).

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

1214946144 is a wasteful number, since it uses less digits than its factorization.

1214946144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218579 (or 4218568 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1214946144 is about 34856.0775762276. The cubic root of 1214946144 is about 1067.0522248551.

The spelling of 1214946144 in words is "one billion, two hundred fourteen million, nine hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4218563 8437126 12655689 16874252 25311378 33748504 37967067 50622756 67497008 75934134 101245512 134994016 151868268 202491024 303736536 404982048 607473072 1214946144