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443136672411114 = 2311378771907108503
BaseRepresentation
bin110010011000001111100101…
…1111100100010110111101010
32011010000110012121201020211210
41210300133023330202313222
5431040322401114123424
64210250102114533550
7162224365562413233
oct14460371374426752
92133013177636753
10443136672411114
11119219231032820
124184aa32b972b6
13160357bb9b5696
147b5dd0232a08a
1536370060ad729
hex19307cbf22dea

443136672411114 has 128 divisors (see below), whose sum is σ = 994637258790912. Its totient is φ = 130435931024640.

The previous prime is 443136672411067. The next prime is 443136672411133. The reversal of 443136672411114 is 411114276631344.

It is a super-2 number, since 2×4431366724111142 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4084041787 + ... + 4084150289.

It is an arithmetic number, because the mean of its divisors is an integer number (7770603584304).

Almost surely, 2443136672411114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443136672411114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497318629395456).

443136672411114 is an abundant number, since it is smaller than the sum of its proper divisors (551500586379798).

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

443136672411114 is a wasteful number, since it uses less digits than its factorization.

443136672411114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111340.

The product of its digits is 1161216, while the sum is 48.

The spelling of 443136672411114 in words is "four hundred forty-three trillion, one hundred thirty-six billion, six hundred seventy-two million, four hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 877 1221 1754 1907 2442 2631 3814 5262 5721 9647 11442 19294 20977 28941 32449 41954 57882 62931 64898 70559 97347 108503 125862 141118 194694 211677 217006 325509 356939 423354 651018 713878 776149 1070817 1193533 1552298 1672439 2141634 2328447 2387066 3344878 3580599 4014611 4656894 5017317 7161198 8029222 10034634 12043833 18396829 24087666 36793658 44160721 55190487 61880243 88321442 95157131 110380974 123760486 132482163 185640729 190314262 206915221 264964326 285471393 371281458 413830442 570942786 620745663 680682673 1046728441 1241491326 1361365346 2042048019 2093456882 2276067431 3140185323 3520813847 4084096038 4552134862 6280370646 6828202293 7041627694 7655863177 10562441541 13656404586 15311726354 21124883082 22967589531 38728952317 45935179062 77457904634 84214494947 116186856951 168428989894 181464648817 232373713902 252643484841 362929297634 505286969682 544393946451 1088787892902 1996111136987 3992222273974 5988333410961 6714192006229 11976666821922 13428384012458 20142576018687 40285152037374 73856112068519 147712224137038 221568336205557 443136672411114