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234132324201444 = 22323281794509457
BaseRepresentation
bin110101001111000100101110…
…000000111011001111100100
31010200222211110020100102121110
4311033010232000323033210
5221142010444443421234
62145542523241345020
7100213334154124044
oct6517045600731744
91120884406312543
10234132324201444
1168668a63216039
12223144b5798170
13a084777a680b6
1441b60ca347724
151c104bbc391e9
hexd4f12e03b3e4

234132324201444 has 72 divisors (see below), whose sum is σ = 571163981956960. Its totient is φ = 74641742284032.

The previous prime is 234132324201427. The next prime is 234132324201491. The reversal of 234132324201444 is 444102423231432.

234132324201444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49665564 + ... + 54175020.

Almost surely, 2234132324201444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234132324201444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285581990978480).

234132324201444 is an abundant number, since it is smaller than the sum of its proper divisors (337031657755516).

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

234132324201444 is a wasteful number, since it uses less digits than its factorization.

234132324201444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517689 (or 4517664 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 234132324201444 its reverse (444102423231432), we get a palindrome (678234747432876).

The spelling of 234132324201444 in words is "two hundred thirty-four trillion, one hundred thirty-two billion, three hundred twenty-four million, two hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1587 2116 3174 6348 8179 16358 24537 32716 49074 98148 188117 376234 564351 752468 1128702 2257404 4326691 4509457 8653382 9018914 12980073 13528371 17306764 18037828 25960146 27056742 51920292 54113484 103717511 207435022 311152533 414870044 622305066 1244610132 2385502753 4771005506 7156508259 9542011012 14313016518 28626033036 36882848803 73765697606 110648546409 147531395212 221297092818 442594185636 848305522469 1696611044938 2544916567407 3393222089876 5089833134814 10179666269628 19511027016787 39022054033574 58533081050361 78044108067148 117066162100722 234132324201444