Search a number
-
+
2240315365505 = 57242612146009
BaseRepresentation
bin100000100110011101001…
…100111001100010000001
321221011122102121022002212
4200212131030321202001
5243201131213144010
64433104153151505
7320600050256600
oct40463514714201
97834572538085
102240315365505
11794126689878
123022310bb595
131333510836b9
147a608d91a37
153d420980505
hex2099d339881

2240315365505 has 24 divisors (see below), whose sum is σ = 3128032760040. Its totient is φ = 1535855005440.

The previous prime is 2240315365499. The next prime is 2240315365511. The reversal of 2240315365505 is 5055635130422.

It is an interprime number because it is at equal distance from previous prime (2240315365499) and next prime (2240315365511).

It can be written as a sum of positive squares in 4 ways, for example, as 441629360704 + 1798686004801 = 664552^2 + 1341151^2 .

It is not a de Polignac number, because 2240315365505 - 24 = 2240315365489 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29060 + ... + 2116949.

It is an arithmetic number, because the mean of its divisors is an integer number (130334698335).

Almost surely, 22240315365505 is an apocalyptic number.

It is an amenable number.

2240315365505 is a deficient number, since it is larger than the sum of its proper divisors (887717394535).

2240315365505 is a wasteful number, since it uses less digits than its factorization.

2240315365505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150289 (or 2150282 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 2240315365505 in words is "two trillion, two hundred forty billion, three hundred fifteen million, three hundred sixty-five thousand, five hundred five".

Divisors: 1 5 7 35 49 245 4261 21305 29827 149135 208789 1043945 2146009 10730045 15022063 75110315 105154441 525772205 9144144349 45720721745 64009010443 320045052215 448063073101 2240315365505