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4005114534253 = 74373266368447
BaseRepresentation
bin111010010010000011011…
…011011101100101101101
3112011212220022120221221201
4322102003123131211231
51011104433310044003
612303531344125501
7562234320555520
oct72220333354555
915155808527851
104005114534253
111304617817988
12548274906891
132308b05b9471
14dbbc46d6bb7
156e2aeed7b1d
hex3a4836dd96d

4005114534253 has 32 divisors (see below), whose sum is σ = 4749734854656. Its totient is φ = 3305895804288.

The previous prime is 4005114534247. The next prime is 4005114534277. The reversal of 4005114534253 is 3524354115004.

It is not a de Polignac number, because 4005114534253 - 221 = 4005112437101 is a prime.

It is a super-2 number, since 2×40051145342532 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005114534293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58479876 + ... + 58548322.

It is an arithmetic number, because the mean of its divisors is an integer number (148429214208).

Almost surely, 24005114534253 is an apocalyptic number.

4005114534253 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4005114534253 is a deficient number, since it is larger than the sum of its proper divisors (744620320403).

4005114534253 is a wasteful number, since it uses less digits than its factorization.

4005114534253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71233.

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 4005114534253 its reverse (3524354115004), we get a palindrome (7529468649257).

The spelling of 4005114534253 in words is "four trillion, five billion, one hundred fourteen million, five hundred thirty-four thousand, two hundred fifty-three".

Divisors: 1 7 43 73 301 511 2663 3139 18641 21973 68447 114509 194399 479129 801563 1360793 2943221 4996631 8359157 20602547 34976417 58514099 182274361 214855133 1275920527 1503985931 7837797523 13306028353 54864582661 93142198471 572159219179 4005114534253