Search a number
-
+
8023441104 = 2432721137109
BaseRepresentation
bin1110111100011101…
…11111111011010000
3202201011112001001100
413132032333323100
5112413000103404
63404054104400
7402554060400
oct73616777320
922634461040
108023441104
113448029068
12167b04b100
139ab35c8b3
1456184a800
1531e5cad39
hex1de3bfed0

8023441104 has 90 divisors (see below), whose sum is σ = 26120553810. Its totient is φ = 2292409728.

The previous prime is 8023441103. The next prime is 8023441109. The reversal of 8023441104 is 4011443208.

It can be written as a sum of positive squares in only one way, i.e., 6748951104 + 1274490000 = 82152^2 + 35700^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8023441103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 561499 + ... + 575610.

Almost surely, 28023441104 is an apocalyptic number.

8023441104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8023441104 is an abundant number, since it is smaller than the sum of its proper divisors (18097112706).

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

8023441104 is a wasteful number, since it uses less digits than its factorization.

8023441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137137 (or 1137121 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8023441104 is about 89573.6630042559. The cubic root of 8023441104 is about 2001.9515204979.

The spelling of 8023441104 in words is "eight billion, twenty-three million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 1137109 2274218 3411327 4548436 6822654 7959763 9096872 10233981 13645308 15919526 18193744 20467962 23879289 27290616 31839052 40935924 47758578 54581232 55718341 63678104 71637867 81871848 95517156 111436682 127356208 143275734 163743696 167155023 191034312 222873364 286551468 334310046 382068624 445746728 501465069 573102936 668620092 891493456 1002930138 1146205872 1337240184 2005860276 2674480368 4011720552 8023441104