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21404320440 = 2335389458533
BaseRepresentation
bin10011111011110011…
…000000001010111000
32001020201000010201220
4103323303000022320
5322314001223230
613455532512040
71355263502406
oct237363001270
961221003656
1021404320440
1190941a9828
12419431b620
132031609a89
141070a00476
158541b5d10
hex4fbcc02b8

21404320440 has 64 divisors (see below), whose sum is σ = 64378173600. Its totient is φ = 5693133312.

The previous prime is 21404320391. The next prime is 21404320499. The reversal of 21404320440 is 4402340412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21404320440.

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, 182587 + ... + 275946.

Almost surely, 221404320440 is an apocalyptic number.

21404320440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21404320440 is an abundant number, since it is smaller than the sum of its proper divisors (42973853160).

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

21404320440 is a wasteful number, since it uses less digits than its factorization.

21404320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458936 (or 458932 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21404320440 its reverse (4402340412), we get a palindrome (25806660852).

The spelling of 21404320440 in words is "twenty-one billion, four hundred four million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 1167 1556 1945 2334 3112 3890 4668 5835 7780 9336 11670 15560 23340 46680 458533 917066 1375599 1834132 2292665 2751198 3668264 4585330 5502396 6877995 9170660 11004792 13755990 18341320 27511980 55023960 178369337 356738674 535108011 713477348 891846685 1070216022 1426954696 1783693370 2140432044 2675540055 3567386740 4280864088 5351080110 7134773480 10702160220 21404320440