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1445440440 = 233517896733
BaseRepresentation
bin101011000100111…
…1010101110111000
310201201211222112010
41112021322232320
510430013043230
6355232445520
750551020033
oct12611725670
93651758463
101445440440
11681a05884
123440a98a0
131a05cb702
14d9d8001a
1586d6d9b0
hex5627abb8

1445440440 has 64 divisors (see below), whose sum is σ = 4339389600. Its totient is φ = 385178112.

The previous prime is 1445440429. The next prime is 1445440457. The reversal of 1445440440 is 440445441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1445440398 and 1445440407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211314 + ... + 218046.

Almost surely, 21445440440 is an apocalyptic number.

1445440440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1445440440 is an abundant number, since it is smaller than the sum of its proper divisors (2893949160).

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

1445440440 is a wasteful number, since it uses less digits than its factorization.

1445440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 1445440440 is about 38018.9484336429. The cubic root of 1445440440 is about 1130.6635724527.

Adding to 1445440440 its reverse (440445441), we get a palindrome (1885885881).

The spelling of 1445440440 in words is "one billion, four hundred forty-five million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1789 3578 5367 6733 7156 8945 10734 13466 14312 17890 20199 21468 26835 26932 33665 35780 40398 42936 53670 53864 67330 71560 80796 100995 107340 134660 161592 201990 214680 269320 403980 807960 12045337 24090674 36136011 48181348 60226685 72272022 96362696 120453370 144544044 180680055 240906740 289088088 361360110 481813480 722720220 1445440440