Search a number
-
+
4301423313200 = 2452134996912399
BaseRepresentation
bin111110100110000000110…
…011110000000100110000
3120020012201120211112022222
4332212000303300010300
51030433303332010300
613052014021420212
7622524164616566
oct76460063600460
916205646745288
104301423313200
111409250360172
12595789b6a668
132528127792b0
1410c293501a36
1576d535b6785
hex3e980cf0130

4301423313200 has 240 divisors, whose sum is σ = 11172201600000. Its totient is φ = 1582081459200.

The previous prime is 4301423313139. The next prime is 4301423313223. The reversal of 4301423313200 is 23133241034.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4301423313200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1793005601 + ... + 1793007999.

It is an arithmetic number, because the mean of its divisors is an integer number (46550840000).

Almost surely, 24301423313200 is an apocalyptic number.

4301423313200 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 4301423313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586100800000).

4301423313200 is an abundant number, since it is smaller than the sum of its proper divisors (6870778286800).

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

4301423313200 is a wasteful number, since it uses less digits than its factorization.

4301423313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 4301423313200 its reverse (23133241034), we get a palindrome (4324556554234).

The spelling of 4301423313200 in words is "four trillion, three hundred one billion, four hundred twenty-three million, three hundred thirteen thousand, two hundred".