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4212100144 = 24747800171
BaseRepresentation
bin1111101100001111…
…1000110000110000
3101212112210212011001
43323003320300300
532111244201034
61533543531344
7206244155230
oct37303706060
911775725131
104212100144
1118716911aa
12996759b54
13521854465
142bd5a5cc0
15199bbea14
hexfb0f8c30

4212100144 has 40 divisors (see below), whose sum is σ = 9525247488. Its totient is φ = 1766775360.

The previous prime is 4212100141. The next prime is 4212100163. The reversal of 4212100144 is 4410012124.

4212100144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4212100141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394822 + ... + 405349.

Almost surely, 24212100144 is an apocalyptic number.

It is an amenable number.

4212100144 is an abundant number, since it is smaller than the sum of its proper divisors (5313147344).

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

4212100144 is a wasteful number, since it uses less digits than its factorization.

4212100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800233 (or 800227 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4212100144 is about 64900.6944801055. The cubic root of 4212100144 is about 1614.9765825856.

Adding to 4212100144 its reverse (4410012124), we get a palindrome (8622112268).

The spelling of 4212100144 in words is "four billion, two hundred twelve million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 800171 1600342 3200684 5601197 6401368 11202394 12802736 22404788 37608037 44809576 75216074 89619152 150432148 263256259 300864296 526512518 601728592 1053025036 2106050072 4212100144