Search a number
-
+
4241214432 = 253471317981
BaseRepresentation
bin1111110011001011…
…1100101111100000
3101221120121000110000
43330302330233200
532141222330212
61540503540000
7210046504440
oct37462745740
911846530400
104241214432
1118870671a4
129a445a600
135278a9250
142c33c4120
1519c5211dc
hexfccbcbe0

4241214432 has 240 divisors, whose sum is σ = 15352600032. Its totient is φ = 1118499840.

The previous prime is 4241214431. The next prime is 4241214433. The reversal of 4241214432 is 2344121424.

It is an interprime number because it is at equal distance from previous prime (4241214431) and next prime (4241214433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4241214396 and 4241214405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241214431) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 226882 + ... + 244862.

Almost surely, 24241214432 is an apocalyptic number.

4241214432 is a gapful number since it is divisible by the number (42) 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 4241214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676300016).

4241214432 is an abundant number, since it is smaller than the sum of its proper divisors (11111385600).

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

4241214432 is a wasteful number, since it uses less digits than its factorization.

4241214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18023 (or 18006 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4241214432 is about 65124.6069623457. The cubic root of 4241214432 is about 1618.6889804680.

Adding to 4241214432 its reverse (2344121424), we get a palindrome (6585335856).

The spelling of 4241214432 in words is "four billion, two hundred forty-one million, two hundred fourteen thousand, four hundred thirty-two".