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240253103234545 = 51728145759337117
BaseRepresentation
bin110110101000001001001000…
…110111111101110111110001
31011111122222020211221120111221
4312220021020313331313301
5222442301323412001140
62210550430230305041
7101414466603360202
oct6650111067756761
91144588224846457
10240253103234545
116a608850432715
1222b427b21b8181
13a409a0280388b
144348452b0b5a9
151cb980425c14a
hexda8248dfddf1

240253103234545 has 64 divisors (see below), whose sum is σ = 307545483998016. Its totient is φ = 179550128701440.

The previous prime is 240253103234531. The next prime is 240253103234549. The reversal of 240253103234545 is 545432301352042.

It can be written as a sum of positive squares in 32 ways, for example, as 22825308877056 + 217427794357489 = 4777584^2 + 14745433^2 .

It is not a de Polignac number, because 240253103234545 - 221 = 240253101137393 is a prime.

It is a super-2 number, since 2×2402531032345452 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240253103234549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6472840327 + ... + 6472877443.

It is an arithmetic number, because the mean of its divisors is an integer number (4805398187469).

Almost surely, 2240253103234545 is an apocalyptic number.

It is an amenable number.

240253103234545 is a deficient number, since it is larger than the sum of its proper divisors (67292380763471).

240253103234545 is a wasteful number, since it uses less digits than its factorization.

240253103234545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38470.

The product of its (nonzero) digits is 1728000, while the sum is 43.

Adding to 240253103234545 its reverse (545432301352042), we get a palindrome (785685404586587).

The spelling of 240253103234545 in words is "two hundred forty trillion, two hundred fifty-three billion, one hundred three million, two hundred thirty-four thousand, five hundred forty-five".

Divisors: 1 5 17 85 281 457 593 1405 2285 2965 4777 7769 10081 23885 37117 38845 50405 128417 166633 185585 271001 630989 642085 833165 1355005 2183089 2832761 3154945 4607017 10429877 10915445 14163805 16962469 22010381 23035085 52149385 76151281 84812345 110051905 177307909 288361973 374176477 380756405 886539545 1294571777 1441809865 1870882385 4766453789 6184917061 6472858885 10058744117 23832268945 30924585305 50293720585 81029714413 105143590037 170998649989 405148572065 525717950185 854993249945 2826507096877 14132535484385 48050620646909 240253103234545