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20344113243504 = 24321075032624971
BaseRepresentation
bin1001010000000101110111…
…01001001010010101110000
32200000212201020020111020100
410220002323221022111300
510131304220442243004
6111133542343112400
74166546043232521
oct450027351122560
980025636214210
1020344113243504
116533987613076
1223469aa442700
13b475983b609b
14504935d5c848
152542e51c0739
hex1280bba4a570

20344113243504 has 120 divisors (see below), whose sum is σ = 57581637789312. Its totient is φ = 6704635374720.

The previous prime is 20344113243479. The next prime is 20344113243527. The reversal of 20344113243504 is 40534231144302.

20344113243504 is a `hidden beast` number, since 2 + 0 + 34 + 4 + 113 + 2 + 4 + 3 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6437739 + ... + 9062709.

Almost surely, 220344113243504 is an apocalyptic number.

20344113243504 is a gapful number since it is divisible by the number (24) 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 20344113243504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28790818894656).

20344113243504 is an abundant number, since it is smaller than the sum of its proper divisors (37237524545808).

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

20344113243504 is a wasteful number, since it uses less digits than its factorization.

20344113243504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625595 (or 2625586 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 20344113243504 its reverse (40534231144302), we get a palindrome (60878344387806).

The spelling of 20344113243504 in words is "twenty trillion, three hundred forty-four billion, one hundred thirteen million, two hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 503 642 856 963 1006 1284 1509 1712 1926 2012 2568 3018 3852 4024 4527 5136 6036 7704 8048 9054 12072 15408 18108 24144 36216 53821 72432 107642 161463 215284 322926 430568 484389 645852 861136 968778 1291704 1937556 2583408 2624971 3875112 5249942 7750224 7874913 10499884 15749826 20999768 23624739 31499652 41999536 47249478 62999304 94498956 125998608 188997912 280871897 377995824 561743794 842615691 1123487588 1320360413 1685231382 2246975176 2527847073 2640720826 3370462764 3961081239 4493950352 5055694146 5281441652 6740925528 7922162478 10111388292 10562883304 11883243717 13481851056 15844324956 20222776584 21125766608 23766487434 31688649912 40445553168 47532974868 63377299824 95065949736 141278564191 190131899472 282557128382 423835692573 565114256764 847671385146 1130228513528 1271507077719 1695342770292 2260457027056 2543014155438 3390685540584 5086028310876 6781371081168 10172056621752 20344113243504