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441331340164044 = 2231144343951171719
BaseRepresentation
bin110010001011000110111010…
…1110000100011101111001100
32010212121212022220120212111220
41210112031311300203233030
5430321233041040222134
64202344452503243340
7161650065012460311
oct14426156560435714
92125555286525456
10441331340164044
11118692630046a80
12415b8b78a49550
1315c3449cb330c5
147ada79d6d0d08
153605093370149
hex1916375c23bcc

441331340164044 has 96 divisors (see below), whose sum is σ = 1125956907048960. Its totient is φ = 133431067848000.

The previous prime is 441331340164037. The next prime is 441331340164159. The reversal of 441331340164044 is 440461043133144.

It is a super-2 number, since 2×4413313401640442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441331340163987 and 441331340164005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2569992817 + ... + 2570164535.

It is an arithmetic number, because the mean of its divisors is an integer number (11728717781760).

Almost surely, 2441331340164044 is an apocalyptic number.

441331340164044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441331340164044 is an abundant number, since it is smaller than the sum of its proper divisors (684625566884916).

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

441331340164044 is a wasteful number, since it uses less digits than its factorization.

441331340164044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216131 (or 216129 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

Adding to 441331340164044 its reverse (440461043133144), we get a palindrome (881792383297188).

The spelling of 441331340164044 in words is "four hundred forty-one trillion, three hundred thirty-one billion, three hundred forty million, one hundred sixty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 443 886 1329 1772 2658 4873 5316 9746 14619 19492 29238 43951 58476 87902 131853 171719 175804 263706 343438 483461 515157 527412 686876 966922 1030314 1450383 1888909 1933844 2060628 2900766 3777818 5666727 5801532 7555636 11333454 19470293 22666908 38940586 58410879 76071517 77881172 116821758 152143034 214173223 228214551 233643516 304286068 428346446 456429102 642519669 836786687 856692892 912858204 1285039338 1673573374 2510360061 2570078676 3347146748 5020720122 7547221769 10041440244 15094443538 22641665307 30188887076 45283330614 83019439459 90566661228 166038878918 249058318377 332077757836 498116636754 996233273508 3343419243667 6686838487334 10030257731001 13373676974668 20060515462002 36777611680337 40121030924004 73555223360674 110332835041011 147110446721348 220665670082022 441331340164044