Search a number
-
+
4231451040 = 253533126633
BaseRepresentation
bin1111110000110110…
…1101000110100000
3101220220012222120220
43330031231012200
532131222413130
61535514403040
7206600511645
oct37415550640
911826188526
104231451040
1118815a8883
129a1130480
1352586b2ab
142c1da1dcc
1519b743410
hexfc36d1a0

4231451040 has 96 divisors (see below), whose sum is σ = 13369841856. Its totient is φ = 1124935680.

The previous prime is 4231450999. The next prime is 4231451053. The reversal of 4231451040 is 401541324.

4231451040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4231451040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145564 + ... + 172196.

It is an arithmetic number, because the mean of its divisors is an integer number (139269186).

Almost surely, 24231451040 is an apocalyptic number.

4231451040 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 4231451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684920928).

4231451040 is an abundant number, since it is smaller than the sum of its proper divisors (9138390816).

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

4231451040 is a wasteful number, since it uses less digits than its factorization.

4231451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26982 (or 26974 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4231451040 is about 65049.6044569066. The cubic root of 4231451040 is about 1617.4459373232.

Adding to 4231451040 its reverse (401541324), we get a palindrome (4632992364).

The spelling of 4231451040 in words is "four billion, two hundred thirty-one million, four hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 331 480 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 10592 13240 15888 19860 26480 26633 31776 39720 52960 53266 79440 79899 106532 133165 158880 159798 213064 266330 319596 399495 426128 532660 639192 798990 852256 1065320 1278384 1597980 2130640 2556768 3195960 4261280 6391920 8815523 12783840 17631046 26446569 35262092 44077615 52893138 70524184 88155230 105786276 132232845 141048368 176310460 211572552 264465690 282096736 352620920 423145104 528931380 705241840 846290208 1057862760 1410483680 2115725520 4231451040