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440221315043040 = 25351753948690569
BaseRepresentation
bin110010000011000010000001…
…1000110110000111011100000
32010201200202011100111012010020
41210012010003012300323200
5430200041223122334130
64200134514044433440
7161503640366562606
oct14406040306607340
92121622140435106
10440221315043040
111182a48a1883213
1241459a0b848880
1315b838cc0b338b
147a9cb7aa05876
1535d62776ece10
hex19061031b0ee0

440221315043040 has 96 divisors (see below), whose sum is σ = 1468267562553120. Its totient is φ = 110486918283264.

The previous prime is 440221315043039. The next prime is 440221315043053. The reversal of 440221315043040 is 40340513122044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 440221315042992 and 440221315043010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26974337125 + ... + 26974353444.

It is an arithmetic number, because the mean of its divisors is an integer number (15294453776595).

Almost surely, 2440221315043040 is an apocalyptic number.

440221315043040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440221315043040 is an abundant number, since it is smaller than the sum of its proper divisors (1028046247510080).

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

440221315043040 is a wasteful number, since it uses less digits than its factorization.

440221315043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53948690604 (or 53948690596 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 440221315043040 its reverse (40340513122044), we get a palindrome (480561828165084).

The spelling of 440221315043040 in words is "four hundred forty trillion, two hundred twenty-one billion, three hundred fifteen million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 53948690569 107897381138 161846071707 215794762276 269743452845 323692143414 431589524552 539486905690 647384286828 809230358535 863179049104 917127739673 1078973811380 1294768573656 1618460717070 1726358098208 1834255479346 2157947622760 2589537147312 2751383219019 3236921434140 3668510958692 4315895245520 4585638698365 5179074294624 5502766438038 6473842868280 7337021917384 8631790491040 9171277396730 11005532876076 12947685736560 13756916095095 14674043834768 18342554793460 22011065752152 25895371473120 27513832190190 29348087669536 36685109586920 44022131504304 55027664380380 73370219173840 88044263008608 110055328760760 146740438347680 220110657521520 440221315043040