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42265420353 = 361373199307
BaseRepresentation
bin100111010111001101…
…110010001001000001
311001002112211211000000
4213113031302021001
51143024421422403
631225542350213
73024243100602
oct472715621101
9131075754000
1042265420353
1116a19800972
12823672b369
133ca750b090
14208d3d7da9
1511758277a3
hex9d7372241

42265420353 has 112 divisors (see below), whose sum is σ = 69752636800. Its totient is φ = 25441143552.

The previous prime is 42265420331. The next prime is 42265420411. The reversal of 42265420353 is 35302456224.

42265420353 is a `hidden beast` number, since 4 + 2 + 265 + 42 + 0 + 353 = 666.

It is not a de Polignac number, because 42265420353 - 25 = 42265420321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42265420313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 137672226 + ... + 137672532.

It is an arithmetic number, because the mean of its divisors is an integer number (622791400).

Almost surely, 242265420353 is an apocalyptic number.

It is an amenable number.

42265420353 is a deficient number, since it is larger than the sum of its proper divisors (27487216447).

42265420353 is a wasteful number, since it uses less digits than its factorization.

42265420353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 42265420353 its reverse (35302456224), we get a palindrome (77567876577).

The spelling of 42265420353 in words is "forty-two billion, two hundred sixty-five million, four hundred twenty thousand, three hundred fifty-three".

Divisors: 1 3 9 13 27 39 73 81 117 199 219 243 307 351 597 657 729 921 949 1053 1791 1971 2587 2763 2847 3159 3991 5373 5913 7761 8289 8541 9477 11973 14527 16119 17739 22411 23283 24867 25623 35919 43581 48357 53217 61093 67233 69849 74601 76869 107757 130743 145071 183279 188851 201699 209547 223803 230607 291343 323271 392229 549837 566553 605097 628641 691821 794209 874029 969813 1176687 1649511 1699659 1815291 1885923 2382627 2622087 2909439 3530061 4459789 4948533 5098977 5445873 7147881 7866261 10590183 13379367 14845599 15296931 16337619 21443643 23598783 40138101 44536797 45890793 57977257 64330929 70796349 120414303 137672379 173931771 192992787 212389047 361242909 521795313 578978361 1083728727 1565385939 3251186181 4696157817 14088473451 42265420353