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42214538300 = 225211311237963
BaseRepresentation
bin100111010100001011…
…101011110000111100
311000222000002201221112
4213110023223300330
51142423410211200
631220524021152
73023054440454
oct472413536074
9130860081845
1042214538300
11169a3008490
1282216917b8
133c99b0435c
142086750d64
151171126535
hex9d42ebc3c

42214538300 has 72 divisors (see below), whose sum is σ = 103157064192. Its totient is φ = 14855544000.

The previous prime is 42214538293. The next prime is 42214538309. The reversal of 42214538300 is 383541224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42214538309) by changing a digit.

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, 584882 + ... + 653081.

Almost surely, 242214538300 is an apocalyptic number.

It is an amenable number.

42214538300 is an abundant number, since it is smaller than the sum of its proper divisors (60942525892).

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

42214538300 is a wasteful number, since it uses less digits than its factorization.

42214538300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238019 (or 1238012 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 42214538300 in words is "forty-two billion, two hundred fourteen million, five hundred thirty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 1237963 2475926 4951852 6189815 12379630 13617593 24759260 27235186 30949075 38376853 54470372 61898150 68087965 76753706 123796300 136175930 153507412 191884265 272351860 340439825 383768530 422145383 680879650 767537060 844290766 959421325 1361759300 1688581532 1918842650 2110726915 3837685300 4221453830 8442907660 10553634575 21107269150 42214538300