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4142247300 = 22325222320639
BaseRepresentation
bin1111011011100101…
…1010110110000100
3101200200100222001200
43312321122312010
531440403403200
61523010422500
7204435343512
oct36671326604
911620328050
104142247300
111836210784
12977291a30
13510237909
142b41c14b2
151939c2800
hexf6e5ad84

4142247300 has 108 divisors (see below), whose sum is σ = 13042498560. Its totient is φ = 1099592640.

The previous prime is 4142247293. The next prime is 4142247301. The reversal of 4142247300 is 37422414.

4142247300 is a `hidden beast` number, since 414 + 2 + 247 + 3 + 0 + 0 = 666.

4142247300 is nontrivially palindromic in base 14.

It is not an unprimeable number, because it can be changed into a prime (4142247301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190381 + ... + 211019.

Almost surely, 24142247300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142247300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521249280).

4142247300 is an abundant number, since it is smaller than the sum of its proper divisors (8900251260).

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

4142247300 is a wasteful number, since it uses less digits than its factorization.

4142247300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20882 (or 20872 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4142247300 is about 64360.2928831123. The cubic root of 4142247300 is about 1605.9992612796. Note that the first 3 decimals are identical.

Adding to 4142247300 its reverse (37422414), we get a palindrome (4179669714).

The spelling of 4142247300 in words is "four billion, one hundred forty-two million, two hundred forty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 223 225 300 446 450 669 892 900 1115 1338 2007 2230 2676 3345 4014 4460 5575 6690 8028 10035 11150 13380 16725 20070 20639 22300 33450 40140 41278 50175 61917 66900 82556 100350 103195 123834 185751 200700 206390 247668 309585 371502 412780 515975 619170 743004 928755 1031950 1238340 1547925 1857510 2063900 3095850 3715020 4602497 4643775 6191700 9204994 9287550 13807491 18409988 18575100 23012485 27614982 41422473 46024970 55229964 69037455 82844946 92049940 115062425 138074910 165689892 207112365 230124850 276149820 345187275 414224730 460249700 690374550 828449460 1035561825 1380749100 2071123650 4142247300