Search a number
-
+
420300142052 = 2271922731710979
BaseRepresentation
bin1100001110110111101…
…01110011010111100100
31111011212102212102201212
412013123311303113210
523341233314021202
6521025550410552
742236300155430
oct6073365632744
91434772772655
10420300142052
111522805225aa
1269559800a58
133083226360b
14164b22979c0
15adedba0652
hex61dbd735e4

420300142052 has 96 divisors (see below), whose sum is σ = 891625190400. Its totient is φ = 169345047168.

The previous prime is 420300142051. The next prime is 420300142091. The reversal of 420300142052 is 250241003024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (420300142051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38276699 + ... + 38287677.

It is an arithmetic number, because the mean of its divisors is an integer number (9287762400).

Almost surely, 2420300142052 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 420300142052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445812595200).

420300142052 is an abundant number, since it is smaller than the sum of its proper divisors (471325048348).

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

420300142052 is a wasteful number, since it uses less digits than its factorization.

420300142052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 420300142052 its reverse (250241003024), we get a palindrome (670541145076).

The spelling of 420300142052 in words is "four hundred twenty billion, three hundred million, one hundred forty-two thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 227 266 317 454 532 634 908 1268 1589 2219 3178 4313 4438 6023 6356 8626 8876 10979 12046 17252 21958 24092 30191 42161 43916 60382 71959 76853 84322 120764 143918 153706 168644 208601 287836 307412 417202 503713 834404 1007426 1367221 1460207 2014852 2492233 2734442 2920414 3480343 4984466 5468884 5840828 6960686 9570547 9968932 13921372 17445631 19141094 24362401 34891262 38282188 47352427 48724802 66126517 69782524 94704854 97449604 132253034 189409708 264506068 331466989 462885619 662933978 790037861 925771238 1325867956 1580075722 1851542476 3160151444 5530265027 11060530054 15010719359 22121060108 30021438718 60042877436 105075035513 210150071026 420300142052