Search a number
-
+
4033420144 = 241328368521
BaseRepresentation
bin1111000001101001…
…0001101101110000
3101102002120222021021
43300122101231300
531230023421034
61504122105224
7201644335255
oct36032215560
911362528237
104033420144
11178a840286
1294694b214
134c3823350
142a397342c
151891776b4
hexf0691b70

4033420144 has 40 divisors (see below), whose sum is σ = 8445747632. Its totient is φ = 1854973440.

The previous prime is 4033420133. The next prime is 4033420159. The reversal of 4033420144 is 4410243304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24604 + ... + 93124.

Almost surely, 24033420144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222873816).

4033420144 is an abundant number, since it is smaller than the sum of its proper divisors (4412327488).

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

4033420144 is a wasteful number, since it uses less digits than its factorization.

4033420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68825 (or 68819 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4033420144 is about 63509.2130639327. The cubic root of 4033420144 is about 1591.8097274346.

Adding to 4033420144 its reverse (4410243304), we get a palindrome (8443663448).

The spelling of 4033420144 in words is "four billion, thirty-three million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 283 566 1132 2264 3679 4528 7358 14716 29432 58864 68521 137042 274084 548168 890773 1096336 1781546 3563092 7126184 14252368 19391443 38782886 77565772 155131544 252088759 310263088 504177518 1008355036 2016710072 4033420144