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20343200440224 = 2536128112362659
BaseRepresentation
bin1001010000000100001010…
…01111000101111110100000
32200000210100121122021112110
410220002011033011332200
510131300333303041344
6111133312014355320
74166514320440464
oct450020517057640
980023317567473
1020343200440224
1165335593364a2
1223467947bbb40
13b47481258bbc
1450488aa2c4a4
1525428eeb53b9
hex1280853c5fa0

20343200440224 has 96 divisors (see below), whose sum is σ = 54469484354880. Its totient is φ = 6646164940800.

The previous prime is 20343200440223. The next prime is 20343200440231. The reversal of 20343200440224 is 42204400234302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×203432004402242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20343200440191 and 20343200440200.

It is not an unprimeable number, because it can be changed into a prime (20343200440223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4535794 + ... + 7826865.

It is an arithmetic number, because the mean of its divisors is an integer number (567390462030).

Almost surely, 220343200440224 is an apocalyptic number.

20343200440224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20343200440224 is an abundant number, since it is smaller than the sum of its proper divisors (34126283914656).

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

20343200440224 is a wasteful number, since it uses less digits than its factorization.

20343200440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12363014 (or 12363006 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 20343200440224 its reverse (42204400234302), we get a palindrome (62547600674526).

The spelling of 20343200440224 in words is "twenty trillion, three hundred forty-three billion, two hundred million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 281 366 488 562 732 843 976 1124 1464 1686 1952 2248 2928 3372 4496 5856 6744 8992 13488 17141 26976 34282 51423 68564 102846 137128 205692 274256 411384 548512 822768 1645536 12362659 24725318 37087977 49450636 74175954 98901272 148351908 197802544 296703816 395605088 593407632 754122199 1186815264 1508244398 2262366597 3016488796 3473907179 4524733194 6032977592 6947814358 9049466388 10421721537 12065955184 13895628716 18098932776 20843443074 24131910368 27791257432 36197865552 41686886148 55582514864 72395731104 83373772296 111165029728 166747544592 211908337919 333495089184 423816675838 635725013757 847633351676 1271450027514 1695266703352 2542900055028 3390533406704 5085800110056 6781066813408 10171600220112 20343200440224