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450314013450730 = 2511131573835236981
BaseRepresentation
bin110011001100011101110011…
…0110011110010000111101010
32012001102121011212010110112111
41212120323212303302013222
5433010421044420410410
64233423222450232534
7163565054021555452
oct14630734663620752
92161377155113474
10450314013450730
11120536111a26a20
1242609a57b8574a
131643657710a8c0
147d2b45916cd62
15370da7a83ab8a
hex1998ee6cf21ea

450314013450730 has 128 divisors (see below), whose sum is σ = 960840231837696. Its totient is φ = 149799413836800.

The previous prime is 450314013450673. The next prime is 450314013450739. The reversal of 450314013450730 is 37054310413054.

It is a happy number.

It is a super-3 number, since 3×4503140134507303 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (450314013450739) 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, 83368840 + ... + 88605820.

It is an arithmetic number, because the mean of its divisors is an integer number (7506564311232).

Almost surely, 2450314013450730 is an apocalyptic number.

450314013450730 is an abundant number, since it is smaller than the sum of its proper divisors (510526218386966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450314013450730 is a wasteful number, since it uses less digits than its factorization.

450314013450730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237552.

The product of its (nonzero) digits is 302400, while the sum is 40.

Adding to 450314013450730 its reverse (37054310413054), we get a palindrome (487368323863784).

The spelling of 450314013450730 in words is "four hundred fifty trillion, three hundred fourteen billion, thirteen million, four hundred fifty thousand, seven hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 157 286 314 383 715 766 785 1430 1570 1727 1915 2041 3454 3830 4082 4213 4979 8426 8635 9958 10205 17270 20410 21065 22451 24895 42130 44902 49790 54769 60131 109538 112255 120262 224510 273845 300655 547690 601310 661441 781703 1322882 1563406 3307205 3908515 5236981 6614410 7817030 8598733 10473962 17197466 26184905 42993665 52369810 57606791 68080753 85987330 115213582 136161506 288033955 340403765 576067910 680807530 748888283 822206017 1497776566 1644412034 2005763723 3744441415 4011527446 4111030085 7488882830 8222060170 9044266187 10028818615 10688678221 18088532374 20057637230 21377356442 22063400953 26074928399 44126801906 45221330935 52149856798 53443391105 90442661870 106886782210 110317004765 117575460431 130374641995 220634009530 235150920862 260749283990 286824212389 314904904511 573648424778 587877302155 629809809022 1175754604310 1434121061945 1574524522555 2868242123890 3149049045110 3463953949621 4093763758643 6927907899242 8187527517286 17319769748105 20468818793215 34639539496210 40937637586430 45031401345073 90062802690146 225157006725365 450314013450730