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440434023043044 = 2235091201571110513
BaseRepresentation
bin110010000100100101000100…
…1011111011000111111100100
32010202110002012100010011101110
41210021022021133120333210
5430212032334344334134
64200420332535225020
7161525210450004402
oct14411121137307744
92122402170104343
10440434023043044
11118377024a09958
1241493093218170
1315b9a99a147884
147aa9198762472
1535dba766457e9
hex19092897d8fe4

440434023043044 has 96 divisors (see below), whose sum is σ = 1030834266094080. Its totient is φ = 146361351168000.

The previous prime is 440434023043039. The next prime is 440434023043067. The reversal of 440434023043044 is 440340320434044.

It is a super-2 number, since 2×4404340230430442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440434023042993 and 440434023043011.

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, 41894223132 + ... + 41894233644.

It is an arithmetic number, because the mean of its divisors is an integer number (10737856938480).

Almost surely, 2440434023043044 is an apocalyptic number.

It is an amenable number.

440434023043044 is an abundant number, since it is smaller than the sum of its proper divisors (590400243051036).

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

440434023043044 is a wasteful number, since it uses less digits than its factorization.

440434023043044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17941 (or 17939 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 440434023043044 its reverse (440340320434044), we get a palindrome (880774343477088).

The spelling of 440434023043044 in words is "four hundred forty trillion, four hundred thirty-four billion, twenty-three million, forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 12 509 1018 1201 1527 2036 2402 3054 3603 4804 5711 6108 7206 10513 11422 14412 17133 21026 22844 31539 34266 42052 63078 68532 126156 611309 1222618 1833927 2445236 2906899 3667854 5351117 5813798 6858911 7335708 8720697 10702234 11627596 12626113 13717822 16053351 17441394 20576733 21404468 25252226 27435644 32106702 34882788 37878339 41153466 50504452 60039743 64213404 75756678 82306932 120079486 151513356 180119229 240158972 360238458 720476916 3491185699 6426691517 6982371398 10473557097 12853383034 13964742796 19280074551 20947114194 25706766068 30560229187 38560149102 41894228388 61120458374 72107731343 77120298204 91680687561 122240916748 144215462686 183361375122 216323194029 288430925372 366722750244 432646388058 865292776116 36702835253587 73405670507174 110108505760761 146811341014348 220217011521522 440434023043044