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1404112211440 = 24538950988643
BaseRepresentation
bin10100011011101011100…
…111000000110111110000
311222020020222211210002021
4110123223213000313300
5141001110211231230
62553012405401224
7203305131605461
oct24335347006760
94866228753067
101404112211440
114a1531813644
121a8162409214
13a253a856393
144bd6080cd68
15267ce19cc7a
hex146eb9c0df0

1404112211440 has 80 divisors (see below), whose sum is σ = 3279420237600. Its totient is φ = 559094168576.

The previous prime is 1404112211413. The next prime is 1404112211443. The reversal of 1404112211440 is 441122114041.

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

It is a super-2 number, since 2×14041122114402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404112211443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15795759 + ... + 15884401.

It is an arithmetic number, because the mean of its divisors is an integer number (40992752970).

Almost surely, 21404112211440 is an apocalyptic number.

1404112211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1404112211440 is an abundant number, since it is smaller than the sum of its proper divisors (1875308026160).

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

1404112211440 is a wasteful number, since it uses less digits than its factorization.

1404112211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89554 (or 89548 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1404112211440 its reverse (441122114041), we get a palindrome (1845234325481).

The spelling of 1404112211440 in words is "one trillion, four hundred four billion, one hundred twelve million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 389 509 778 1018 1556 1945 2036 2545 3112 3890 4072 5090 6224 7780 8144 10180 15560 20360 31120 40720 88643 177286 198001 354572 396002 443215 709144 792004 886430 990005 1418288 1584008 1772860 1980010 3168016 3545720 3960020 7091440 7920040 15840080 34482127 45119287 68964254 90238574 137928508 172410635 180477148 225596435 275857016 344821270 360954296 451192870 551714032 689642540 721908592 902385740 1379285080 1804771480 2758570160 3609542960 17551402643 35102805286 70205610572 87757013215 140411221144 175514026430 280822442288 351028052860 702056105720 1404112211440