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34420423320140 = 225111336373309077
BaseRepresentation
bin1111101001110001000010…
…00110101110001001001100
311111212120010111000222201112
413310320201012232021030
514002421011332221030
6201112305120031152
710151536114556624
oct764704106561114
9144776114028645
1034420423320140
11aa7068a6977a0
123a3aaaa1624b8
131628aa7b68920
1486dd59089884
153ea54a666a95
hex1f4e211ae24c

34420423320140 has 96 divisors (see below), whose sum is σ = 84943132190784. Its totient is φ = 11550528322560.

The previous prime is 34420423320113. The next prime is 34420423320169. The reversal of 34420423320140 is 4102332402443.

It is a junction number, because it is equal to n+sod(n) for n = 34420423320097 and 34420423320106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8747282 + ... + 12056358.

It is an arithmetic number, because the mean of its divisors is an integer number (884824293654).

Almost surely, 234420423320140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34420423320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42471566095392).

34420423320140 is an abundant number, since it is smaller than the sum of its proper divisors (50522708870644).

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

34420423320140 is a wasteful number, since it uses less digits than its factorization.

34420423320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312747 (or 3312745 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34420423320140 its reverse (4102332402443), we get a palindrome (38522755722583).

The spelling of 34420423320140 in words is "thirty-four trillion, four hundred twenty billion, four hundred twenty-three million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 3637 7274 14548 18185 36370 40007 47281 72740 80014 94562 160028 189124 200035 236405 400070 472810 520091 800140 945620 1040182 2080364 2600455 3309077 5200910 6618154 10401820 13236308 16545385 33090770 36399847 43018001 66181540 72799694 86036002 145599388 172072004 181999235 215090005 363998470 430180010 473198011 727996940 860360020 946396022 1892792044 2365990055 4731980110 9463960220 12035113049 24070226098 48140452196 60175565245 120351130490 132386243539 156456469637 240702260980 264772487078 312912939274 529544974156 625825878548 661931217695 782282348185 1323862435390 1564564696370 1721021166007 2647724870780 3129129392740 3442042332014 6884084664028 8605105830035 17210211660070 34420423320140