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20412443440 = 2452979111373
BaseRepresentation
bin10011000000101011…
…010010101100110000
31221200120121120021201
4103000223102230300
5313301041142230
613213301300544
71321560622624
oct230053225460
957616546251
1020412443440
118725323974
123b58104754
131c03c84ccc
14db8da9184
157e708b5ca
hex4c0ad2b30

20412443440 has 80 divisors (see below), whose sum is σ = 49717353600. Its totient is φ = 7783566336.

The previous prime is 20412443423. The next prime is 20412443461. The reversal of 20412443440 is 4434421402.

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

It is a junction number, because it is equal to n+sod(n) for n = 20412443399 and 20412443408.

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, 127594 + ... + 238966.

It is an arithmetic number, because the mean of its divisors is an integer number (621466920).

Almost surely, 220412443440 is an apocalyptic number.

20412443440 is a gapful number since it is divisible by the number (20) 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 20412443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24858676800).

20412443440 is an abundant number, since it is smaller than the sum of its proper divisors (29304910160).

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

20412443440 is a wasteful number, since it uses less digits than its factorization.

20412443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111494 (or 111488 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20412443440 its reverse (4434421402), we get a palindrome (24846864842).

The spelling of 20412443440 in words is "twenty billion, four hundred twelve million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 79 80 116 145 158 232 290 316 395 464 580 632 790 1160 1264 1580 2291 2320 3160 4582 6320 9164 11455 18328 22910 36656 45820 91640 111373 183280 222746 445492 556865 890984 1113730 1781968 2227460 3229817 4454920 6459634 8798467 8909840 12919268 16149085 17596934 25838536 32298170 35193868 43992335 51677072 64596340 70387736 87984670 129192680 140775472 175969340 255155543 258385360 351938680 510311086 703877360 1020622172 1275777715 2041244344 2551555430 4082488688 5103110860 10206221720 20412443440