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1440226745520 = 243555710773689
BaseRepresentation
bin10100111101010100001…
…101000001110010110000
312002200110212201012100120
4110331110031001302300
5142044041021324040
63021344145250240
7206024106230343
oct24752415016260
95080425635316
101440226745520
115058844a6622
121b3161033980
13a5a74949284
144d9c8d5c45a
15276e49d57d0
hex14f54341cb0

1440226745520 has 80 divisors (see below), whose sum is σ = 4472718950880. Its totient is φ = 383370913792.

The previous prime is 1440226745501. The next prime is 1440226745563. The reversal of 1440226745520 is 255476220441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14402267455202 (a number of 25 digits) contains 22 as substring.

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, 5253165 + ... + 5520524.

It is an arithmetic number, because the mean of its divisors is an integer number (55908986886).

Almost surely, 21440226745520 is an apocalyptic number.

1440226745520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440226745520 is an abundant number, since it is smaller than the sum of its proper divisors (3032492205360).

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

1440226745520 is a wasteful number, since it uses less digits than its factorization.

1440226745520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774262 (or 10774256 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 1440226745520 in words is "one trillion, four hundred forty billion, two hundred twenty-six million, seven hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 557 1114 1671 2228 2785 3342 4456 5570 6684 8355 8912 11140 13368 16710 22280 26736 33420 44560 66840 133680 10773689 21547378 32321067 43094756 53868445 64642134 86189512 107736890 129284268 161605335 172379024 215473780 258568536 323210670 430947560 517137072 646421340 861895120 1292842680 2585685360 6000944773 12001889546 18002834319 24003779092 30004723865 36005668638 48007558184 60009447730 72011337276 90014171595 96015116368 120018895460 144022674552 180028343190 240037790920 288045349104 360056686380 480075581840 720113372760 1440226745520