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14214412144 = 243189322001
BaseRepresentation
bin11010011110011111…
…01011011101110000
31100200121220221202001
431033033223131300
5213102342142034
610310252103344
71012150336552
oct151717533560
940617827661
1014214412144
116034735259
122908464b54
131456b7107a
1498bb6b4d2
15582d87a14
hex34f3eb770

14214412144 has 40 divisors (see below), whose sum is σ = 28748338560. Its totient is φ = 6800640000.

The previous prime is 14214412127. The next prime is 14214412151. The reversal of 14214412144 is 44121441241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116857 + ... + 205144.

It is an arithmetic number, because the mean of its divisors is an integer number (718708464).

Almost surely, 214214412144 is an apocalyptic number.

It is an amenable number.

14214412144 is an abundant number, since it is smaller than the sum of its proper divisors (14533926416).

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

14214412144 is a wasteful number, since it uses less digits than its factorization.

14214412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322129 (or 322123 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 14214412144 its reverse (44121441241), we get a palindrome (58335853385).

The spelling of 14214412144 in words is "fourteen billion, two hundred fourteen million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 89 124 178 248 356 496 712 1424 2759 5518 11036 22072 44144 322001 644002 1288004 2576008 5152016 9982031 19964062 28658089 39928124 57316178 79856248 114632356 159712496 229264712 458529424 888400759 1776801518 3553603036 7107206072 14214412144