Search a number
-
+
8008404840080 = 245979901104233
BaseRepresentation
bin111010010001001101000…
…1000000010111010010000
31001100121002111120111221122
41310202122020002322100
52022202203114340310
625011002124541412
71454405510660201
oct164423210027220
931317074514848
108008404840080
112608388831a67
12a940ba6b1868
1346125cc81908
141d9874a0b5a8
15dd4b4c7d555
hex7489a202e90

8008404840080 has 80 divisors (see below), whose sum is σ = 18813575739504. Its totient is φ = 3169986969600.

The previous prime is 8008404840041. The next prime is 8008404840103. The reversal of 8008404840080 is 800484048008.

It can be written as a sum of positive squares in 8 ways, for example, as 832349678224 + 7176055161856 = 912332^2 + 2678816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76779644 + ... + 76883876.

Almost surely, 28008404840080 is an apocalyptic number.

8008404840080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008404840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9406787869752).

8008404840080 is an abundant number, since it is smaller than the sum of its proper divisors (10805170899424).

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

8008404840080 is a wasteful number, since it uses less digits than its factorization.

8008404840080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114244 (or 114238 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

Adding to 8008404840080 its reverse (800484048008), we get a palindrome (8808888888088).

The spelling of 8008404840080 in words is "eight trillion, eight billion, four hundred four million, eight hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 9901 19802 39604 49505 79208 99010 104233 158416 198020 208466 396040 416932 521165 792080 833864 960397 1042330 1667728 1920794 2084660 3841588 4169320 4801985 7683176 8338640 9603970 10110601 15366352 19207940 20221202 38415880 40442404 50553005 76831760 80884808 101106010 161769616 202212020 404424040 808848080 1032010933 2064021866 4128043732 5160054665 8256087464 10320109330 16512174928 20640218660 41280437320 82560874640 100105060501 200210121002 400420242004 500525302505 800840484008 1001050605010 1601680968016 2002101210020 4004202420040 8008404840080