Search a number
-
+
42333202014 = 231011071813607
BaseRepresentation
bin100111011011010000…
…010110011001011110
311001021021101110221220
4213123100112121132
51143144244431024
631240403234210
73026025165015
oct473320263136
9131237343856
1042333202014
1116a53a97274
128255378966
133cb8580c7c
1420983dda7c
15117b765e79
hex9db41665e

42333202014 has 64 divisors (see below), whose sum is σ = 86804669952. Its totient is φ = 13760496000.

The previous prime is 42333202013. The next prime is 42333202031. The reversal of 42333202014 is 41020233324.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333202013) 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 31 ways as a sum of consecutive naturals, for example, 11734599 + ... + 11738205.

It is an arithmetic number, because the mean of its divisors is an integer number (1356322968).

Almost surely, 242333202014 is an apocalyptic number.

42333202014 is an abundant number, since it is smaller than the sum of its proper divisors (44471467938).

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

42333202014 is a wasteful number, since it uses less digits than its factorization.

42333202014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42333202014 its reverse (41020233324), we get a palindrome (83353435338).

The spelling of 42333202014 in words is "forty-two billion, three hundred thirty-three million, two hundred two thousand, fourteen".

Divisors: 1 2 3 6 101 107 181 202 214 303 321 362 543 606 642 1086 3607 7214 10807 10821 18281 19367 21614 21642 32421 36562 38734 54843 58101 64842 109686 116202 364307 385949 652867 728614 771898 1092921 1157847 1305734 1956067 1958601 2185842 2315694 3912134 3917202 5868201 11736402 38980849 65939567 69856769 77961698 116942547 131879134 139713538 197818701 209570307 233885094 395637402 419140614 7055533669 14111067338 21166601007 42333202014