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45045104221200 = 24352367102282253
BaseRepresentation
bin10100011110111111000010…
…11011111001110000010000
312220111021021202120222101210
422033133201123321300100
521401004333140034300
6235445234000500120
712326254450260066
oct1217374133716020
9186437252528353
1045045104221200
11133975810115a6
12507606231a640
131c19973030ac5
14b1a2a22a0036
15531ad70b7050
hex28f7e16f9c10

45045104221200 has 120 divisors (see below), whose sum is σ = 144687658250368. Its totient is φ = 11979297354240.

The previous prime is 45045104221181. The next prime is 45045104221211. The reversal of 45045104221200 is 212240154054.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×450451042212002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50700727 + ... + 51581526.

Almost surely, 245045104221200 is an apocalyptic number.

45045104221200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45045104221200 is an abundant number, since it is smaller than the sum of its proper divisors (99642554029168).

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

45045104221200 is a wasteful number, since it uses less digits than its factorization.

45045104221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102282641 (or 102282630 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 45045104221200 its reverse (212240154054), we get a palindrome (45257344375254).

The spelling of 45045104221200 in words is "forty-five trillion, forty-five billion, one hundred four million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 367 400 600 734 1101 1200 1468 1835 2202 2936 3670 4404 5505 5872 7340 8808 9175 11010 14680 17616 18350 22020 27525 29360 36700 44040 55050 73400 88080 110100 146800 220200 440400 102282253 204564506 306846759 409129012 511411265 613693518 818258024 1022822530 1227387036 1534233795 1636516048 2045645060 2454774072 2557056325 3068467590 4091290120 4909548144 5114112650 6136935180 7671168975 8182580240 10228225300 12273870360 15342337950 20456450600 24547740720 30684675900 37537586851 40912901200 61369351800 75075173702 112612760553 122738703600 150150347404 187687934255 225225521106 300300694808 375375868510 450451042212 563063802765 600601389616 750751737020 900902084424 938439671275 1126127605530 1501503474040 1801804168848 1876879342550 2252255211060 2815319013825 3003006948080 3753758685100 4504510422120 5630638027650 7507517370200 9009020844240 11261276055300 15015034740400 22522552110600 45045104221200