Search a number
-
+
3307094214912 = 28324001358753
BaseRepresentation
bin110000000111111110001…
…011010000100100000000
3102201011012002012202112200
4300013332023100210000
5413140412104334122
611011131430153200
7460633610004645
oct60077613204400
912634162182480
103307094214912
111065592517704
12454b2b1b2800
131acb1c330cc7
14b60c82bbdcc
155b059b2c5ac
hex301fe2d0900

3307094214912 has 108 divisors (see below), whose sum is σ = 9537577693644. Its totient is φ = 1102086144000.

The previous prime is 3307094214887. The next prime is 3307094214937. The reversal of 3307094214912 is 2194124907033.

3307094214912 is a `hidden beast` number, since 3 + 3 + 0 + 70 + 94 + 2 + 1 + 491 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3307094214887) and next prime (3307094214937).

It can be written as a sum of positive squares in 2 ways, for example, as 95199399936 + 3211894814976 = 308544^2 + 1792176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9038928 + ... + 9397680.

Almost surely, 23307094214912 is an apocalyptic number.

3307094214912 is a gapful number since it is divisible by the number (32) 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 3307094214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768788846822).

3307094214912 is an abundant number, since it is smaller than the sum of its proper divisors (6230483478732).

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

3307094214912 is a wasteful number, since it uses less digits than its factorization.

3307094214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362776 (or 362759 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3307094214912 in words is "three trillion, three hundred seven billion, ninety-four million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4001 8002 12003 16004 24006 32008 36009 48012 64016 72018 96024 128032 144036 192048 256064 288072 358753 384096 512128 576144 717506 768192 1024256 1076259 1152288 1435012 1536384 2152518 2304576 2870024 3072768 3228777 4305036 4609152 5740048 6457554 8610072 9218304 11480096 12915108 17220144 22960192 25830216 34440288 45920384 51660432 68880576 91840768 103320864 137761152 206641728 275522304 413283456 826566912 1435370753 2870741506 4306112259 5741483012 8612224518 11482966024 12918336777 17224449036 22965932048 25836673554 34448898072 45931864096 51673347108 68897796144 91863728192 103346694216 137795592288 183727456384 206693388432 275591184576 367454912768 413386776864 551182369152 826773553728 1102364738304 1653547107456 3307094214912