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10040022124450 = 252736137096329
BaseRepresentation
bin1001001000011001111111…
…1100111100011110100010
31022112211001101220211100221
42102012133330330132202
52303443431130440300
633204153354033254
72054240051653003
oct222063774743642
938484041824327
1010040022124450
113220a4982352a
1211619a711882a
1357aa01986176
14269d226191aa
1512626d84a31a
hex9219ff3c7a2

10040022124450 has 96 divisors (see below), whose sum is σ = 18990880376400. Its totient is φ = 3948331806720.

The previous prime is 10040022124421. The next prime is 10040022124459. The reversal of 10040022124450 is 5442122004001.

It can be written as a sum of positive squares in 24 ways, for example, as 2647294956601 + 7392727167849 = 1627051^2 + 2718957^2 .

It is a super-5 number, since 5×100400221244505 (a number of 66 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10040022124459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1586348886 + ... + 1586355214.

Almost surely, 210040022124450 is an apocalyptic number.

10040022124450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10040022124450 is a deficient number, since it is larger than the sum of its proper divisors (8950858251950).

10040022124450 is a wasteful number, since it uses less digits than its factorization.

10040022124450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10040022124450 its reverse (5442122004001), we get a palindrome (15482144128451).

The spelling of 10040022124450 in words is "ten trillion, forty billion, twenty-two million, one hundred twenty-four thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 73 146 365 613 709 730 1226 1418 1825 3065 3545 3650 6130 6329 7090 12658 15325 17725 30650 31645 35450 44749 51757 63290 89498 103514 158225 223745 258785 316450 434617 447490 462017 517570 869234 924034 1118725 1293925 2173085 2237450 2310085 2587850 3879677 4346170 4487261 4620170 7759354 8974522 10865425 11550425 19398385 21730850 22436305 23100850 31727041 38796770 44872610 63454082 96991925 112181525 158635205 193983850 224363050 283216421 317270410 327570053 566432842 655140106 793176025 1416082105 1586352050 1637850265 2750690993 2832164210 3275700530 5501381986 7080410525 8189251325 13753454965 14160821050 16378502650 27506909930 68767274825 137534549650 200800442489 401600884978 1004002212445 2008004424890 5020011062225 10040022124450