Search a number
-
+
4231231400 = 23521147151271
BaseRepresentation
bin1111110000110011…
…0111011110101000
3101220212210211022002
43330030313132220
532131143401100
61535505550132
7206565605414
oct37414673650
911825724262
104231231400
111881468860
129a1045348
135257c2326
142c1d45d44
1519b6ed2d5
hexfc3377a8

4231231400 has 192 divisors, whose sum is σ = 11073576960. Its totient is φ = 1490400000.

The previous prime is 4231231393. The next prime is 4231231427. The reversal of 4231231400 is 41321324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15613265 + ... + 15613535.

It is an arithmetic number, because the mean of its divisors is an integer number (57674880).

Almost surely, 24231231400 is an apocalyptic number.

4231231400 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 4231231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536788480).

4231231400 is an abundant number, since it is smaller than the sum of its proper divisors (6842345560).

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

4231231400 is a wasteful number, since it uses less digits than its factorization.

4231231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4231231400 is about 65047.9161849171. The cubic root of 4231231400 is about 1617.4179514960.

Adding to 4231231400 its reverse (41321324), we get a palindrome (4272552724).

The spelling of 4231231400 in words is "four billion, two hundred thirty-one million, two hundred thirty-one thousand, four hundred".