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14022330320440 = 23513212371676887
BaseRepresentation
bin1100110000001101010000…
…0001001000011000111000
31211122112002022100202200201
43030003110001020120320
53314220213030223230
645453434123211544
72645036263060441
oct314032401103070
954575068322621
1014022330320440
1145169229a4972
1216a5756076bb4
137a93b935b800
143669820362c8
15194b465295ca
hexcc0d4048638

14022330320440 has 96 divisors (see below), whose sum is σ = 34191511555680. Its totient is φ = 5173287215616.

The previous prime is 14022330320419. The next prime is 14022330320503. The reversal of 14022330320440 is 4402303322041.

It is a junction number, because it is equal to n+sod(n) for n = 14022330320399 and 14022330320408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7523677 + ... + 9200563.

It is an arithmetic number, because the mean of its divisors is an integer number (356161578705).

Almost surely, 214022330320440 is an apocalyptic number.

14022330320440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022330320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095755777840).

14022330320440 is an abundant number, since it is smaller than the sum of its proper divisors (20169181235240).

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

14022330320440 is a wasteful number, since it uses less digits than its factorization.

14022330320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678161 (or 1678144 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 14022330320440 its reverse (4402303322041), we get a palindrome (18424633642481).

The spelling of 14022330320440 in words is "fourteen trillion, twenty-two billion, three hundred thirty million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1237 1352 1690 2474 3380 4948 6185 6760 9896 12370 16081 24740 32162 49480 64324 80405 128648 160810 209053 321620 418106 643240 836212 1045265 1672424 1676887 2090530 3353774 4181060 6707548 8362120 8384435 13415096 16768870 21799531 33537740 43599062 67075480 87198124 108997655 174396248 217995310 283393903 435990620 566787806 871981240 1133575612 1416969515 2074309219 2267151224 2833939030 4148618438 5667878060 8297236876 10371546095 11335756120 16594473752 20743092190 26966019847 41486184380 53932039694 82972368760 107864079388 134830099235 215728158776 269660198470 350558258011 539320396940 701116516022 1078640793880 1402233032044 1752791290055 2804466064088 3505582580110 7011165160220 14022330320440