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4102441414304 = 25442128998257
BaseRepresentation
bin111011101100101100100…
…100000010111010100000
3112112012010012021201222212
4323230230210002322200
51014203300000224204
612420345141021252
7602251215443432
oct73545444027240
915465105251885
104102441414304
111341921256442
125630b73b4828
13239b2136430c
141027b8720652
1571aa96ebc6e
hex3bb2c902ea0

4102441414304 has 24 divisors (see below), whose sum is σ = 8078508703188. Its totient is φ = 2050756664320.

The previous prime is 4102441414303. The next prime is 4102441414319. The reversal of 4102441414304 is 4034141442014.

It can be written as a sum of positive squares in 2 ways, for example, as 4030538064400 + 71903349904 = 2007620^2 + 268148^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4102441414303) 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 3 ways as a sum of consecutive naturals, for example, 14357657 + ... + 14640600.

Almost surely, 24102441414304 is an apocalyptic number.

It is an amenable number.

4102441414304 is a deficient number, since it is larger than the sum of its proper divisors (3976067288884).

4102441414304 is a wasteful number, since it uses less digits than its factorization.

4102441414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29002688 (or 29002680 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4102441414304 its reverse (4034141442014), we get a palindrome (8136582856318).

The spelling of 4102441414304 in words is "four trillion, one hundred two billion, four hundred forty-one million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 4421 8842 17684 35368 70736 141472 28998257 57996514 115993028 231986056 463972112 927944224 128201294197 256402588394 512805176788 1025610353576 2051220707152 4102441414304