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20440440220224 = 263106460626147
BaseRepresentation
bin1001010010111001010010…
…01011011010101001000000
32200101002100102102220202210
410221130221023122221000
510134344010144021344
6111250113020342120
74206526110101403
oct451345113325100
980332312386683
1020440440220224
116570818694442
1223615b20a4940
13b536a9c58a6b
14509473261d3a
15256a81c21db9
hex1297292daa40

20440440220224 has 28 divisors (see below), whose sum is σ = 54081998083184. Its totient is φ = 6813480073344.

The previous prime is 20440440220169. The next prime is 20440440220229. The reversal of 20440440220224 is 42202204404402.

It is a happy number.

It is a super-2 number, since 2×204404402202242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20440440220191 and 20440440220200.

It is not an unprimeable number, because it can be changed into a prime (20440440220229) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 53230312882 + ... + 53230313265.

Almost surely, 220440440220224 is an apocalyptic number.

20440440220224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20440440220224 is an abundant number, since it is smaller than the sum of its proper divisors (33641557862960).

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

20440440220224 is a wasteful number, since it uses less digits than its factorization.

20440440220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106460626162 (or 106460626152 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 20440440220224 its reverse (42202204404402), we get a palindrome (62642644624626).

The spelling of 20440440220224 in words is "twenty trillion, four hundred forty billion, four hundred forty million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 106460626147 212921252294 319381878441 425842504588 638763756882 851685009176 1277527513764 1703370018352 2555055027528 3406740036704 5110110055056 6813480073408 10220220110112 20440440220224