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44221340020 = 225112131405637
BaseRepresentation
bin101001001011110011…
…000001100101110100
311020010212020211101011
4221023303001211310
51211031130340040
632152012442004
73123563121364
oct511363014564
9136125224334
1044221340020
1117832880300
1286a1779304
1342297c05b0
1421d709a9a4
15123c3ce3ea
hexa4bcc1974

44221340020 has 72 divisors (see below), whose sum is σ = 109926514152. Its totient is φ = 14843516160.

The previous prime is 44221340017. The next prime is 44221340041. The reversal of 44221340020 is 2004312244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1536953616 + 42684386404 = 39204^2 + 206602^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 44221339973 and 44221340000.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 671359 + ... + 734278.

It is an arithmetic number, because the mean of its divisors is an integer number (1526757141).

Almost surely, 244221340020 is an apocalyptic number.

It is an amenable number.

44221340020 is an abundant number, since it is smaller than the sum of its proper divisors (65705174132).

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

44221340020 is a wasteful number, since it uses less digits than its factorization.

44221340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405681 (or 1405668 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 44221340020 its reverse (2004312244), we get a palindrome (46225652264).

The spelling of 44221340020 in words is "forty-four billion, two hundred twenty-one million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 7865 15730 31460 1405637 2811274 5622548 7028185 14056370 15462007 18273281 28112740 30924014 36546562 61848028 73093124 77310035 91366405 154620070 170082077 182732810 201006091 309240140 340164154 365465620 402012182 680328308 804024364 850410385 1005030455 1700820770 2010060910 2211067001 3401641540 4020121820 4422134002 8844268004 11055335005 22110670010 44221340020