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42434241220200 = 23352191370281337
BaseRepresentation
bin10011010010111111111011…
…10111111100111001101000
312120020200012020020110000010
421221133331313330321220
521030220311223021300
6230130004333411520
711636526025032114
oct1151377567747150
9176220166213003
1042434241220200
1112580295a01845
124914059639ba0
131a8a6bb410cbb
14a69b8495c744
154d8c2a73ea50
hex2697fddfce68

42434241220200 has 96 divisors (see below), whose sum is σ = 132234871426560. Its totient is φ = 11256552614400.

The previous prime is 42434241220181. The next prime is 42434241220237. The reversal of 42434241220200 is 202214243424.

It is a happy number.

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, 185026069 + ... + 185255268.

It is an arithmetic number, because the mean of its divisors is an integer number (1377446577360).

Almost surely, 242434241220200 is an apocalyptic number.

42434241220200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42434241220200 is an abundant number, since it is smaller than the sum of its proper divisors (89800630206360).

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

42434241220200 is a wasteful number, since it uses less digits than its factorization.

42434241220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370281547 (or 370281538 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42434241220200 its reverse (202214243424), we get a palindrome (42636455463624).

The spelling of 42434241220200 in words is "forty-two trillion, four hundred thirty-four billion, two hundred forty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 191 200 300 382 573 600 764 955 1146 1528 1910 2292 2865 3820 4584 4775 5730 7640 9550 11460 14325 19100 22920 28650 38200 57300 114600 370281337 740562674 1110844011 1481125348 1851406685 2221688022 2962250696 3702813370 4443376044 5554220055 7405626740 8886752088 9257033425 11108440110 14811253480 18514066850 22216880220 27771100275 37028133700 44433760440 55542200550 70723735367 74056267400 111084401100 141447470734 212171206101 222168802200 282894941468 353618676835 424342412202 565789882936 707237353670 848684824404 1060856030505 1414474707340 1697369648808 1768093384175 2121712061010 2828949414680 3536186768350 4243424122020 5304280152525 7072373536700 8486848244040 10608560305050 14144747073400 21217120610100 42434241220200