Search a number
-
+
3234442301312 = 27238363131371
BaseRepresentation
bin101111000100010011110…
…010001100111110000000
3102110012122211211011002212
4233010103302030332000
5410443114212120222
610513514323401252
7452452331636525
oct57042362147600
912405584734085
103234442301312
1110377a03a2702
12442a34223228
131a6011668311
14b27953cd14c
15592067d46e2
hex2f113c8cf80

3234442301312 has 64 divisors (see below), whose sum is σ = 6724627896960. Its totient is φ = 1546710443520.

The previous prime is 3234442301303. The next prime is 3234442301333. The reversal of 3234442301312 is 2131032444323.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 24554987 + ... + 24686357.

It is an arithmetic number, because the mean of its divisors is an integer number (105072310890).

Almost surely, 23234442301312 is an apocalyptic number.

3234442301312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3234442301312 is an abundant number, since it is smaller than the sum of its proper divisors (3490185595648).

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

3234442301312 is a wasteful number, since it uses less digits than its factorization.

3234442301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139771 (or 139759 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 3234442301312 its reverse (2131032444323), we get a palindrome (5365474745635).

The spelling of 3234442301312 in words is "three trillion, two hundred thirty-four billion, four hundred forty-two million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 8363 16726 33452 66904 131371 133808 192349 262742 267616 384698 525484 535232 769396 1050968 1070464 1538792 2101936 3021533 3077584 4203872 6043066 6155168 8407744 12086132 12310336 16815488 24172264 24620672 48344528 96689056 193378112 386756224 1098655673 2197311346 4394622692 8789245384 17578490768 25269080479 35156981536 50538160958 70313963072 101076321916 140627926144 202152643832 404305287664 808610575328 1617221150656 3234442301312