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2440400121 = 32291792957
BaseRepresentation
bin1001000101110101…
…1000110011111001
320022002001011121200
42101131120303321
514444220300441
61042054124413
7114322026105
oct22135306371
96262034550
102440400121
1110425a6805
12581350709
132cb792653
14192178905
15e43a67b6
hex91758cf9

2440400121 has 12 divisors (see below), whose sum is σ = 3526268772. Its totient is φ = 1626358176.

The previous prime is 2440400087. The next prime is 2440400153. The reversal of 2440400121 is 1210040442.

2440400121 is a `hidden beast` number, since 244 + 0 + 400 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1818596025 + 621804096 = 42645^2 + 24936^2 .

It is not a de Polignac number, because 2440400121 - 26 = 2440400057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2440400094 and 2440400103.

It is not an unprimeable number, because it can be changed into a prime (2440400021) 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 11 ways as a sum of consecutive naturals, for example, 20226 + ... + 72731.

It is an arithmetic number, because the mean of its divisors is an integer number (293855731).

Almost surely, 22440400121 is an apocalyptic number.

It is an amenable number.

2440400121 is a deficient number, since it is larger than the sum of its proper divisors (1085868651).

2440400121 is a wasteful number, since it uses less digits than its factorization.

2440400121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95880 (or 95877 counting only the distinct ones).

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

The square root of 2440400121 is about 49400.4060813269. The cubic root of 2440400121 is about 1346.3366839744.

Adding to 2440400121 its reverse (1210040442), we get a palindrome (3650440563).

The spelling of 2440400121 in words is "two billion, four hundred forty million, four hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 2917 8751 26253 92957 278871 836613 271155569 813466707 2440400121