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2144908116 = 2232132352549
BaseRepresentation
bin111111111011000…
…1011001101010100
312112111000121210100
41333312023031110
513343044024431
6552500454100
7104103263301
oct17766131524
95474017710
102144908116
11a0082123a
124ba3aa330
132824b2700
14164c1a0a8
15c84884e6
hex7fd8b354

2144908116 has 54 divisors (see below), whose sum is σ = 5871015150. Its totient is φ = 659969856.

The previous prime is 2144908111. The next prime is 2144908127. The reversal of 2144908116 is 6118094412.

It can be written as a sum of positive squares in 3 ways, for example, as 244296900 + 1900611216 = 15630^2 + 43596^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144908111) 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 17 ways as a sum of consecutive naturals, for example, 170191 + ... + 182358.

Almost surely, 22144908116 is an apocalyptic number.

2144908116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2144908116 is an abundant number, since it is smaller than the sum of its proper divisors (3726107034).

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

2144908116 is a wasteful number, since it uses less digits than its factorization.

2144908116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352585 (or 352567 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2144908116 is about 46313.1527322423. The cubic root of 2144908116 is about 1289.6431751501.

The spelling of 2144908116 in words is "two billion, one hundred forty-four million, nine hundred eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 352549 705098 1057647 1410196 2115294 3172941 4230588 4583137 6345882 9166274 12691764 13749411 18332548 27498822 41248233 54997644 59580781 82496466 119161562 164992932 178742343 238323124 357484686 536227029 714969372 1072454058 2144908116