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2401211141 = 72449109141
BaseRepresentation
bin1000111100011111…
…1001001100000101
320012100022011102222
42033013321030011
514404202224031
61034134142125
7113334646400
oct21707711405
96170264388
102401211141
11102246a51a
125701b1945
132c3620cc4
1418ac96d37
15e0c14e7b
hex8f1f9305

2401211141 has 12 divisors (see below), whose sum is σ = 2799492300. Its totient is φ = 2053578240.

The previous prime is 2401211129. The next prime is 2401211143. The reversal of 2401211141 is 1411121042.

2401211141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1988268100 + 412943041 = 44590^2 + 20321^2 .

It is not a de Polignac number, because 2401211141 - 26 = 2401211077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401211143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32570 + ... + 76571.

It is an arithmetic number, because the mean of its divisors is an integer number (233291025).

Almost surely, 22401211141 is an apocalyptic number.

It is an amenable number.

2401211141 is a deficient number, since it is larger than the sum of its proper divisors (398281159).

2401211141 is a wasteful number, since it uses less digits than its factorization.

2401211141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109604 (or 109597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 2401211141 is about 49002.1544526361. The cubic root of 2401211141 is about 1339.0910783162.

Adding to 2401211141 its reverse (1411121042), we get a palindrome (3812332183).

Subtracting from 2401211141 its reverse (1411121042), we obtain a palindrome (990090099).

It can be divided in two parts, 24012 and 11141, that added together give a palindrome (35153).

The spelling of 2401211141 in words is "two billion, four hundred one million, two hundred eleven thousand, one hundred forty-one".

Divisors: 1 7 49 449 3143 22001 109141 763987 5347909 49004309 343030163 2401211141