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2114244128 = 25896071223
BaseRepresentation
bin111111000000100…
…1100111000100000
312110100022201201002
41332001030320200
513312221303003
6545443331132
7103251531023
oct17601147040
95410281632
102114244128
119954879a7
124b0080aa8
13279037439
14160b171ba
15c592ca88
hex7e04ce20

2114244128 has 48 divisors (see below), whose sum is σ = 4219568640. Its totient is φ = 1042669056.

The previous prime is 2114244127. The next prime is 2114244191. The reversal of 2114244128 is 8214424112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2114244128.

It is not an unprimeable number, because it can be changed into a prime (2114244127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1728125 + ... + 1729347.

It is an arithmetic number, because the mean of its divisors is an integer number (87907680).

Almost surely, 22114244128 is an apocalyptic number.

It is an amenable number.

2114244128 is a deficient number, since it is larger than the sum of its proper divisors (2105324512).

2114244128 is a wasteful number, since it uses less digits than its factorization.

2114244128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1921 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 2114244128 is about 45980.9104738042. The cubic root of 2114244128 is about 1283.4679977576.

The spelling of 2114244128 in words is "two billion, one hundred fourteen million, two hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 89 178 356 607 712 1214 1223 1424 2428 2446 2848 4856 4892 9712 9784 19424 19568 39136 54023 108046 108847 216092 217694 432184 435388 742361 864368 870776 1484722 1728736 1741552 2969444 3483104 5938888 11877776 23755552 66070129 132140258 264280516 528561032 1057122064 2114244128