Search a number
-
+
445455452124221 = 711234111361787991
BaseRepresentation
bin110010101001000111010110…
…1111111001011010000111101
32011102020010101100211101212212
41211102032231333023100331
5431341320231220433341
64215223224251310205
7162554044236650060
oct14522165577132075
92142203340741785
10445455452124221
11119a326617a7260
1241b6430174b365
13161733659a7c16
147c002321128d7
1536774ba2be5eb
hex19523adfcb43d

445455452124221 has 128 divisors (see below), whose sum is σ = 599885383974912. Its totient is φ = 320528001024000.

The previous prime is 445455452123977. The next prime is 445455452124229. The reversal of 445455452124221 is 122421254554544.

It is not a de Polignac number, because 445455452124221 - 210 = 445455452123197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 445455452124221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445455452124229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5062467536 + ... + 5062555526.

It is an arithmetic number, because the mean of its divisors is an integer number (4686604562304).

Almost surely, 2445455452124221 is an apocalyptic number.

445455452124221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

445455452124221 is a deficient number, since it is larger than the sum of its proper divisors (154429931850691).

445455452124221 is a wasteful number, since it uses less digits than its factorization.

445455452124221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88803.

The product of its digits is 10240000, while the sum is 50.

The spelling of 445455452124221 in words is "four hundred forty-five trillion, four hundred fifty-five billion, four hundred fifty-two million, one hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 7 11 23 41 77 113 161 253 287 451 617 791 943 1243 1771 2599 3157 4319 4633 6601 6787 8701 10373 14191 18193 25297 28589 32431 47509 50963 69721 72611 87991 99337 106559 156101 177079 200123 278267 356741 488047 581831 615937 745913 766931 967901 1092707 1172149 1603583 1947869 2023793 2858561 3607631 4072817 5368517 6400141 6775307 8205043 9942983 11225081 14166551 17639413 20009927 22261723 25253417 31444171 39683941 44800987 54290447 65746903 69600881 82975513 109372813 123475891 155832061 220109197 228688609 277787587 380033129 407662303 460228321 580828591 597194917 723215933 765609691 912730643 1248680281 1600820263 2225908327 2515574699 2853636121 4180364419 4484285333 5062511531 6134820511 6389114501 8740761967 9376232969 13735483091 15581358289 17609022893 24484991597 31389997331 42943743577 51195891521 65633630783 67483025621 96148381637 103138562659 141100871753 171394941179 251527640951 358371240647 472381179347 563154806731 721969938613 987706102271 1552109589283 1760693486657 2766804050461 3942083647117 5785135741873 10864767124981 19367628353227 40495950193111 63636493160603 445455452124221