Search a number
-
+
5342433223400 = 23527131103266129
BaseRepresentation
bin100110110111110000111…
…0101011010001011101000
3200220201202100122020122222
41031233201311122023220
51200012300401122100
615210140244533212
71060656322064210
oct115574165321350
920821670566588
105342433223400
11177a793306629
127234960b1208
132c9a350c4290
1414680a2c3240
1593e80302485
hex4dbe1d5a2e8

5342433223400 has 192 divisors, whose sum is σ = 15301495641600. Its totient is φ = 1689252802560.

The previous prime is 5342433223357. The next prime is 5342433223459. The reversal of 5342433223400 is 43223342435.

It is a super-2 number, since 2×53424332234002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19941536 + ... + 20207664.

It is an arithmetic number, because the mean of its divisors is an integer number (79695289800).

Almost surely, 25342433223400 is an apocalyptic number.

5342433223400 is a gapful number since it is divisible by the number (50) 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 5342433223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650747820800).

5342433223400 is an abundant number, since it is smaller than the sum of its proper divisors (9959062418200).

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

5342433223400 is a wasteful number, since it uses less digits than its factorization.

5342433223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267268 (or 267259 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 35.

Adding to 5342433223400 its reverse (43223342435), we get a palindrome (5385656565835).

The spelling of 5342433223400 in words is "five trillion, three hundred forty-two billion, four hundred thirty-three million, two hundred twenty-three thousand, four hundred".