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22444221451040 = 255829941179821
BaseRepresentation
bin1010001101001101100111…
…10110001100101100100000
32221110122110101100012021122
411012212303312030230200
510420211231142413130
6115422422154311412
74504353505404134
oct506466366145440
987418411305248
1022444221451040
1171735a4986974
122625a10428568
13c6a6339b53cc
1457843dd993c4
1528dc5bb5e2e5
hex1469b3d8cb20

22444221451040 has 96 divisors (see below), whose sum is σ = 53145147731760. Its totient is φ = 8957280153600.

The previous prime is 22444221450961. The next prime is 22444221451051. The reversal of 22444221451040 is 4015412244422.

It can be written as a sum of positive squares in 8 ways, for example, as 4580986824976 + 17863234626064 = 2140324^2 + 4226492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124724330 + ... + 124904150.

Almost surely, 222444221451040 is an apocalyptic number.

22444221451040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22444221451040 is an abundant number, since it is smaller than the sum of its proper divisors (30700926280720).

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

22444221451040 is a wasteful number, since it uses less digits than its factorization.

22444221451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181606 (or 181598 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 22444221451040 its reverse (4015412244422), we get a palindrome (26459633695462).

The spelling of 22444221451040 in words is "twenty-two trillion, four hundred forty-four billion, two hundred twenty-one million, four hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 829 941 1658 1882 3316 3764 4145 4705 6632 7528 8290 9410 13264 15056 16580 18820 26528 30112 33160 37640 66320 75280 132640 150560 179821 359642 719284 780089 899105 1438568 1560178 1798210 2877136 3120356 3596420 3900445 5754272 6240712 7192840 7800890 12481424 14385680 15601780 24962848 28771360 31203560 62407120 124814240 149071609 169211561 298143218 338423122 596286436 676846244 745358045 846057805 1192572872 1353692488 1490716090 1692115610 2385145744 2707384976 2981432180 3384231220 4770291488 5414769952 5962864360 6768462440 11925728720 13536924880 23851457440 27073849760 140276384069 280552768138 561105536276 701381920345 1122211072552 1402763840690 2244422145104 2805527681380 4488844290208 5611055362760 11222110725520 22444221451040