Search a number
-
+
42102431420 = 22572912178521
BaseRepresentation
bin100111001101100000…
…000001111010111100
311000200012011010012212
4213031200001322330
51142211210301140
631201441115552
73020223522320
oct471540017274
9130605133185
1042102431420
11169457a7975
1281b0028bb8
133c7c81201a
1420758cb980
15116637e765
hex9cd801ebc

42102431420 has 96 divisors (see below), whose sum is σ = 104628343680. Its totient is φ = 13924270080.

The previous prime is 42102431407. The next prime is 42102431429. The reversal of 42102431420 is 2413420124.

It is a super-2 number, since 2×421024314202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102431429) 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 31 ways as a sum of consecutive naturals, for example, 4936760 + ... + 4945280.

It is an arithmetic number, because the mean of its divisors is an integer number (1089878580).

Almost surely, 242102431420 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 42102431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52314171840).

42102431420 is an abundant number, since it is smaller than the sum of its proper divisors (62525912260).

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

42102431420 is a wasteful number, since it uses less digits than its factorization.

42102431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9783 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42102431420 its reverse (2413420124), we get a palindrome (44515851544).

The spelling of 42102431420 in words is "forty-two billion, one hundred two million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 1217 2030 2434 4060 4868 6085 8519 8521 12170 17038 17042 24340 34076 34084 35293 42595 42605 59647 70586 85190 85210 119294 141172 170380 170420 176465 238588 247051 247109 298235 352930 494102 494218 596470 705860 988204 988436 1192940 1235255 1235545 1729763 2470510 2471090 3459526 4941020 4942180 6919052 8648815 10370057 17297630 20740114 34595260 41480228 51850285 72590399 103700570 145180798 207401140 290361596 300731653 362951995 601463306 725903990 1202926612 1451807980 1503658265 2105121571 3007316530 4210243142 6014633060 8420486284 10525607855 21051215710 42102431420