Search a number
-
+
42102024332144 = 247375910931537
BaseRepresentation
bin10011001001010101001000…
…01101000110001101110000
312112001220200110112221011212
421210222210031012031300
521004244421212112034
6225313223012455252
711603525261053220
oct1144524415061560
9175056613487155
1042102024332144
1112462406157727
12487b7a291a528
131a65285b54b2a
14a57a6abba080
154d0284a012ce
hex264aa4346370

42102024332144 has 20 divisors (see below), whose sum is σ = 93225911021424. Its totient is φ = 18043724713728.

The previous prime is 42102024332141. The next prime is 42102024332153. The reversal of 42102024332144 is 44123342020124.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42102024332144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102024332141) 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 3 ways as a sum of consecutive naturals, for example, 187955465657 + ... + 187955465880.

Almost surely, 242102024332144 is an apocalyptic number.

It is an amenable number.

42102024332144 is an abundant number, since it is smaller than the sum of its proper divisors (51123886689280).

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

42102024332144 is a wasteful number, since it uses less digits than its factorization.

42102024332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375910931552 (or 375910931546 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42102024332144 its reverse (44123342020124), we get a palindrome (86225366352268).

The spelling of 42102024332144 in words is "forty-two trillion, one hundred two billion, twenty-four million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 375910931537 751821863074 1503643726148 2631376520759 3007287452296 5262753041518 6014574904592 10525506083036 21051012166072 42102024332144