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21490109040 = 2435689912979
BaseRepresentation
bin10100000000111010…
…010000101001110000
32001110200102122120110
4110000322100221300
5323002431442130
613512235341320
71360354625061
oct240072205160
961420378513
1021490109040
119128673aa4
1241b8bb1840
132046315b6a
14107c172568
1585b9aeab0
hex500e90a70

21490109040 has 80 divisors (see below), whose sum is σ = 66634128000. Its totient is φ = 5729423616.

The previous prime is 21490109033. The next prime is 21490109077. The reversal of 21490109040 is 4090109412.

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

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 = 21490108989 and 21490109007.

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, 1649271 + ... + 1662249.

It is an arithmetic number, because the mean of its divisors is an integer number (832926600).

Almost surely, 221490109040 is an apocalyptic number.

21490109040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21490109040 is an abundant number, since it is smaller than the sum of its proper divisors (45144018960).

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

21490109040 is a wasteful number, since it uses less digits than its factorization.

21490109040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19894 (or 19888 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 21490109040 in words is "twenty-one billion, four hundred ninety million, one hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6899 12979 13798 20697 25958 27596 34495 38937 41394 51916 55192 64895 68990 77874 82788 103485 103832 110384 129790 137980 155748 165576 194685 206970 207664 259580 275960 311496 331152 389370 413940 519160 551920 622992 778740 827880 1038320 1557480 1655760 3114960 89542121 179084242 268626363 358168484 447710605 537252726 716336968 895421210 1074505452 1343131815 1432673936 1790842420 2149010904 2686263630 3581684840 4298021808 5372527260 7163369680 10745054520 21490109040