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2440241001 = 321122240809
BaseRepresentation
bin1001000101110011…
…0001111101101001
320022001202002100100
42101130301331221
514444200203001
61042050500013
7114320464152
oct22134617551
96261662310
102440241001
1110424a8200
12581294609
132cb7380b3
14192136929
15e4374586
hex91731f69

2440241001 has 18 divisors (see below), whose sum is σ = 3874360490. Its totient is φ = 1478933280.

The previous prime is 2440240991. The next prime is 2440241053. The reversal of 2440241001 is 1001420442.

It can be written as a sum of positive squares in only one way, i.e., 2299106601 + 141134400 = 47949^2 + 11880^2 .

It is not a de Polignac number, because 2440241001 - 29 = 2440240489 is a prime.

It is a super-2 number, since 2×24402410012 = 11909552285922964002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2440241201) 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 17 ways as a sum of consecutive naturals, for example, 1119316 + ... + 1121493.

Almost surely, 22440241001 is an apocalyptic number.

It is an amenable number.

2440241001 is a deficient number, since it is larger than the sum of its proper divisors (1434119489).

2440241001 is a wasteful number, since it uses less digits than its factorization.

2440241001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240837 (or 2240823 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2440241001 is about 49398.7955419968. The cubic root of 2440241001 is about 1346.3074218672.

Adding to 2440241001 its reverse (1001420442), we get a palindrome (3441661443).

It can be divided in two parts, 244024 and 1001, that added together give a square (245025 = 4952).

The spelling of 2440241001 in words is "two billion, four hundred forty million, two hundred forty-one thousand, one".

Divisors: 1 3 9 11 33 99 121 363 1089 2240809 6722427 20167281 24648899 73946697 221840091 271137889 813413667 2440241001