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4003456144025 = 521375913162269
BaseRepresentation
bin111010010000100000100…
…101001101001010011001
3112011201121202001000020102
4322100200211031022121
51011043034233102100
612303055023105145
7562145242514552
oct72204045151231
915151552030212
104003456144025
111303946694848
12547a914421b5
132306a7b4b380
14dbaa8363329
156e214602cd5
hex3a42094d299

4003456144025 has 24 divisors (see below), whose sum is σ = 5346257114520. Its totient is φ = 2956341219840.

The previous prime is 4003456144021. The next prime is 4003456144031. The reversal of 4003456144025 is 5204416543004.

It can be written as a sum of positive squares in 12 ways, for example, as 2163949855369 + 1839506288656 = 1471037^2 + 1356284^2 .

It is not a de Polignac number, because 4003456144025 - 22 = 4003456144021 is a prime.

It is a super-2 number, since 2×40034561440252 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4003456144025.

It is not an unprimeable number, because it can be changed into a prime (4003456144021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24590591 + ... + 24752859.

It is an arithmetic number, because the mean of its divisors is an integer number (222760713105).

Almost surely, 24003456144025 is an apocalyptic number.

It is an amenable number.

4003456144025 is a deficient number, since it is larger than the sum of its proper divisors (1342800970495).

4003456144025 is a wasteful number, since it uses less digits than its factorization.

4003456144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238205 (or 238200 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 4003456144025 in words is "four trillion, three billion, four hundred fifty-six million, one hundred forty-four thousand, twenty-five".

Divisors: 1 5 13 25 65 325 75913 162269 379565 811345 986869 1897825 2109497 4056725 4934345 10547485 24671725 52737425 12318326597 61591632985 160138245761 307958164925 800691228805 4003456144025