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4344344007481 = 4726127272
BaseRepresentation
bin111111001101111111000…
…101001101001100111001
3120101022111210200201011201
4333031333011031030321
51032134204031214411
613123433013054201
7625603615531222
oct77157705151471
916338453621151
104344344007481
111425475a32035
125a1b68027361
13256892966a0a
141103a5950249
15780166c93c1
hex3f37f14d339

4344344007481 has 27 divisors (see below), whose sum is σ = 4518918524367. Its totient is φ = 4176455001840.

The previous prime is 4344344007433. The next prime is 4344344007503. The reversal of 4344344007481 is 1847004434434.

The square root of 4344344007481 is 2084309.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 141269987881 + 4203074019600 = 375859^2 + 2050140^2 .

It is not a de Polignac number, because 4344344007481 - 211 = 4344344005433 is a prime.

It is a super-2 number, since 2×43443440074812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4344044007481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5975713540 + ... + 5975714266.

Almost surely, 24344344007481 is an apocalyptic number.

4344344007481 is the 2084309-th square number.

4344344007481 is the 1042155-th centered octagonal number.

It is an amenable number.

4344344007481 is a deficient number, since it is larger than the sum of its proper divisors (174574516886).

4344344007481 is an frugal number, since it uses more digits than its factorization.

4344344007481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 46.

The spelling of 4344344007481 in words is "four trillion, three hundred forty-four billion, three hundred forty-four million, seven thousand, four hundred eighty-one".

Divisors: 1 47 61 727 2209 2867 3721 34169 44347 134749 174887 528529 1605943 2084309 2705167 8219689 24840863 32240269 97962523 127142849 1167520561 1515292643 1966656409 5975713903 71218754221 92432851223 4344344007481