Search a number
-
+
42043421400 = 23352313316829
BaseRepresentation
bin100111001001111110…
…111011001011011000
311000112002010002200120
4213021332323023120
51142101103441100
631151532233240
73015606120411
oct471176731330
9130462102616
1042043421400
1116915462862
12819430b820
133c70520856
14206bb2a808
1511610c50a0
hex9c9fbb2d8

42043421400 has 192 divisors, whose sum is σ = 134965171200. Its totient is φ = 10815552000.

The previous prime is 42043421393. The next prime is 42043421411. The reversal of 42043421400 is 412434024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6153186 + ... + 6160014.

It is an arithmetic number, because the mean of its divisors is an integer number (702943600).

Almost surely, 242043421400 is an apocalyptic number.

42043421400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42043421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67482585600).

42043421400 is an abundant number, since it is smaller than the sum of its proper divisors (92921749800).

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

42043421400 is a wasteful number, since it uses less digits than its factorization.

42043421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7210 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42043421400 its reverse (412434024), we get a palindrome (42455855424).

The spelling of 42043421400 in words is "forty-two billion, forty-three million, four hundred twenty-one thousand, four hundred".