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2414124032 = 21017138679
BaseRepresentation
bin1000111111100100…
…1001110000000000
320020020121012121012
42033321021300000
514421003432112
61035315020052
7113552500325
oct21771116000
96206535535
102414124032
11102978a131
1257459a628
132c61c2678
1418c898b4c
15e1e16022
hex8fe49c00

2414124032 has 44 divisors (see below), whose sum is σ = 5109803280. Its totient is φ = 1136050176.

The previous prime is 2414124029. The next prime is 2414124047. The reversal of 2414124032 is 2304214142.

It is a junction number, because it is equal to n+sod(n) for n = 2414123989 and 2414124007.

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 3 ways as a sum of consecutive naturals, for example, 51932 + ... + 86747.

Almost surely, 22414124032 is an apocalyptic number.

It is an amenable number.

2414124032 is an abundant number, since it is smaller than the sum of its proper divisors (2695679248).

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

2414124032 is a wasteful number, since it uses less digits than its factorization.

2414124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138716 (or 138698 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2414124032 is about 49133.7361901169. The cubic root of 2414124032 is about 1341.4871793397.

Adding to 2414124032 its reverse (2304214142), we get a palindrome (4718338174).

The spelling of 2414124032 in words is "two billion, four hundred fourteen million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 8704 17408 138679 277358 554716 1109432 2218864 2357543 4437728 4715086 8875456 9430172 17750912 18860344 35501824 37720688 71003648 75441376 142007296 150882752 301765504 603531008 1207062016 2414124032