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2114120448 = 28321183417
BaseRepresentation
bin111111000000010…
…1110101100000000
312110100002110001100
41332000232230000
513312203323243
6545440534400
7103250504316
oct17600565400
95410073040
102114120448
11995402a90
124b0021400
13278cc305b
14160ac40b6
15c59060d3
hex7e02eb00

2114120448 has 108 divisors (see below), whose sum is σ = 6649749288. Its totient is φ = 640634880.

The previous prime is 2114120447. The next prime is 2114120497. The reversal of 2114120448 is 8440214112.

2114120448 is a `hidden beast` number, since 211 + 4 + 1 + 2 + 0 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (2114120441) 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 11 ways as a sum of consecutive naturals, for example, 16365 + ... + 67052.

Almost surely, 22114120448 is an apocalyptic number.

It is an amenable number.

2114120448 is an abundant number, since it is smaller than the sum of its proper divisors (4535628840).

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

2114120448 is a wasteful number, since it uses less digits than its factorization.

2114120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83450 (or 83433 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2114120448 is about 45979.5655481867. The cubic root of 2114120448 is about 1283.4429703076.

The spelling of 2114120448 in words is "two billion, one hundred fourteen million, one hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 83417 166834 250251 333668 500502 667336 750753 917587 1001004 1334672 1501506 1835174 2002008 2669344 2752761 3003012 3670348 4004016 5338688 5505522 6006024 7340696 8008032 8258283 10677376 11011044 12012048 14681392 16016064 16516566 21354752 22022088 24024096 29362784 32032128 33033132 44044176 48048192 58725568 64064256 66066264 88088352 96096384 117451136 132132528 176176704 192192768 234902272 264265056 352353408 528530112 704706816 1057060224 2114120448