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1140403221 = 322910143261
BaseRepresentation
bin100001111111001…
…0010110000010101
32221110212111010100
41003332102300111
54313420400341
6305054444313
740155160506
oct10376226025
92843774110
101140403221
11535800901
12279b03699
13152358c09
14ab658bad
156a1b73b6
hex43f92c15

1140403221 has 24 divisors (see below), whose sum is σ = 1720962360. Its totient is φ = 726768000.

The previous prime is 1140403213. The next prime is 1140403249. The reversal of 1140403221 is 1223040411.

1140403221 is a `hidden beast` number, since 1 + 1 + 40 + 403 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 497780721 + 642622500 = 22311^2 + 25350^2 .

It is not a de Polignac number, because 1140403221 - 23 = 1140403213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1140403194 and 1140403203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140403261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4731 + ... + 47991.

It is an arithmetic number, because the mean of its divisors is an integer number (71706765).

Almost surely, 21140403221 is an apocalyptic number.

It is an amenable number.

1140403221 is a deficient number, since it is larger than the sum of its proper divisors (580559139).

1140403221 is a wasteful number, since it uses less digits than its factorization.

1140403221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43397 (or 43394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1140403221 is about 33769.8566920264. The cubic root of 1140403221 is about 1044.7670767393.

Adding to 1140403221 its reverse (1223040411), we get a palindrome (2363443632).

It can be divided in two parts, 1140403 and 221, that added together give a square (1140624 = 10682).

The spelling of 1140403221 in words is "one billion, one hundred forty million, four hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 101 261 303 909 2929 8787 26361 43261 129783 389349 1254569 3763707 4369361 11291121 13108083 39324249 126711469 380134407 1140403221