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20244114324 = 22337186114389
BaseRepresentation
bin10010110110101001…
…001010101110010100
31221020211212120011000
4102312221022232110
5312424443124244
613144445343300
71314445063320
oct226651125624
957224776130
1020244114324
1186493027a5
123b0b867b30
131ba8139395
14da08ac980
157d73db169
hex4b6a4ab94

20244114324 has 96 divisors (see below), whose sum is σ = 60018963200. Its totient is φ = 5780522880.

The previous prime is 20244114323. The next prime is 20244114329. The reversal of 20244114324 is 42341144202.

20244114324 is a `hidden beast` number, since 202 + 4 + 411 + 43 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20244114323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399722 + ... + 1414110.

Almost surely, 220244114324 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 20244114324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30009481600).

20244114324 is an abundant number, since it is smaller than the sum of its proper divisors (39774848876).

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

20244114324 is a wasteful number, since it uses less digits than its factorization.

20244114324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16270 (or 16262 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20244114324 its reverse (42341144202), we get a palindrome (62585258526).

The spelling of 20244114324 in words is "twenty billion, two hundred forty-four million, one hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1861 3722 5583 7444 11166 13027 14389 16749 22332 26054 28778 33498 39081 43167 50247 52108 57556 66996 78162 86334 100494 100723 117243 129501 156324 172668 200988 201446 234486 259002 302169 351729 388503 402892 468972 518004 604338 703458 777006 906507 1208676 1406916 1554012 1813014 2719521 3626028 5439042 10878084 26777929 53555858 80333787 107111716 160667574 187445503 241001361 321335148 374891006 482002722 562336509 723004083 749782012 964005444 1124673018 1446008166 1687009527 2249346036 2892016332 3374019054 5061028581 6748038108 10122057162 20244114324