Search a number
-
+
2035045531441 = 131733127819791
BaseRepresentation
bin11101100111010010001…
…010100111111100110001
321012112210211012022022001
4131213102022213330301
5231320233124001231
64154515332214001
7300012216415066
oct35472212477461
97175724168261
102035045531441
1171507017030a
1228a4a476a301
13119b9a03a520
14706d504cc6d
1537e09a53b61
hex1d9d22a7f31

2035045531441 has 16 divisors (see below), whose sum is σ = 2327515077888. Its totient is φ = 1762661894400.

The previous prime is 2035045531439. The next prime is 2035045531451. The reversal of 2035045531441 is 1441355405302.

It is a cyclic number.

It is not a de Polignac number, because 2035045531441 - 21 = 2035045531439 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2035045531441.

It is not an unprimeable number, because it can be changed into a prime (2035045531451) 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 15 ways as a sum of consecutive naturals, for example, 13836745 + ... + 13983046.

It is an arithmetic number, because the mean of its divisors is an integer number (145469692368).

Almost surely, 22035045531441 is an apocalyptic number.

It is an amenable number.

2035045531441 is a deficient number, since it is larger than the sum of its proper divisors (292469546447).

2035045531441 is a wasteful number, since it uses less digits than its factorization.

2035045531441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27820152.

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

The spelling of 2035045531441 in words is "two trillion, thirty-five billion, forty-five million, five hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 13 17 221 331 4303 5627 73151 27819791 361657283 472936447 6148173811 9208350821 119708560673 156541963957 2035045531441