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22440001041000 = 2332532493333449
BaseRepresentation
bin1010001101000101110000…
…10010100111001001101000
32221110020120020220011002200
411012202320102213021220
510420124110231303000
6115420443312300200
74504144100455524
oct506427022471150
987406506804080
1022440001041000
11717182963a394
122625032b41660
13c6a11051176a
1457815d66cd84
1528dab139c500
hex1468b84a7268

22440001041000 has 96 divisors (see below), whose sum is σ = 75847203549000. Its totient is φ = 5984000275200.

The previous prime is 22440001040999. The next prime is 22440001041019. The reversal of 22440001041000 is 14010004422.

22440001041000 is a `hidden beast` number, since 2 + 244 + 0 + 0 + 0 + 10 + 410 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5226646426596 + 17213354614404 = 2286186^2 + 4148898^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1246657725 + ... + 1246675724.

Almost surely, 222440001041000 is an apocalyptic number.

22440001041000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22440001041000 is an abundant number, since it is smaller than the sum of its proper divisors (53407202508000).

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

22440001041000 is a wasteful number, since it uses less digits than its factorization.

22440001041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493333476 (or 2493333459 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22440001041000 its reverse (14010004422), we get a palindrome (22454011045422).

The spelling of 22440001041000 in words is "twenty-two trillion, four hundred forty billion, one million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 2493333449 4986666898 7480000347 9973333796 12466667245 14960000694 19946667592 22440001041 24933334490 29920001388 37400001735 44880002082 49866668980 59840002776 62333336225 74800003470 89760004164 99733337960 112200005205 124666672450 149600006940 179520008328 187000008675 224400010410 249333344900 299200013880 311666681125 374000017350 448800020820 498666689800 561000026025 623333362250 748000034700 897600041640 935000043375 1122000052050 1246666724500 1496000069400 1870000086750 2244000104100 2493333449000 2805000130125 3740000173500 4488000208200 5610000260250 7480000347000 11220000520500 22440001041000