Search a number
-
+
3446206234112 = 2929474938277
BaseRepresentation
bin110010001001100001111…
…001011111111000000000
3110012110021001000112122002
4302021201321133320000
5422430312243442422
611155055411403132
7503660126444645
oct62114171377000
913173231015562
103446206234112
111109589638714
12477a935b34a8
131bcc8bc47275
14bcb239dbdcc
155e99c8e8692
hex32261e5fe00

3446206234112 has 80 divisors (see below), whose sum is σ = 7274676087360. Its totient is φ = 1628287868928.

The previous prime is 3446206234099. The next prime is 3446206234123. The reversal of 3446206234112 is 2114326026443.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1771283 + ... + 3166994.

It is an arithmetic number, because the mean of its divisors is an integer number (90933451092).

Almost surely, 23446206234112 is an apocalyptic number.

3446206234112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3446206234112 is an abundant number, since it is smaller than the sum of its proper divisors (3828469853248).

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

3446206234112 is an equidigital number, since it uses as much as digits as its factorization.

3446206234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938371 (or 4938355 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 3446206234112 in words is "three trillion, four hundred forty-six billion, two hundred six million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 256 376 464 512 752 928 1363 1504 1856 2726 3008 3712 5452 6016 7424 10904 12032 14848 21808 24064 43616 87232 174464 348928 697856 4938277 9876554 19753108 39506216 79012432 143210033 158024864 232099019 286420066 316049728 464198038 572840132 632099456 928396076 1145680264 1264198912 1856792152 2291360528 2528397824 3713584304 4582721056 6730871551 7427168608 9165442112 13461743102 14854337216 18330884224 26923486204 29708674432 36661768448 53846972408 59417348864 73323536896 107693944816 118834697728 215387889632 430775779264 861551558528 1723103117056 3446206234112