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5322432144 = 243534914261
BaseRepresentation
bin1001111010011110…
…11101111010010000
3111201221002120022110
410331033131322100
541400020312034
62240050105320
7245615632611
oct47517357220
914657076273
105322432144
112291413057
12104657b240
1366a8b1b43
14386c33c08
152123e6de9
hex13d3dde90

5322432144 has 80 divisors (see below), whose sum is σ = 14040869184. Its totient is φ = 1736716800.

The previous prime is 5322432127. The next prime is 5322432169. The reversal of 5322432144 is 4412342235.

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 15 ways as a sum of consecutive naturals, for example, 1246974 + ... + 1251234.

Almost surely, 25322432144 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 5322432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020434592).

5322432144 is an abundant number, since it is smaller than the sum of its proper divisors (8718437040).

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

5322432144 is a wasteful number, since it uses less digits than its factorization.

5322432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4810 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 5322432144 is about 72955.0008155712. Note that the first 3 decimals coincide. The cubic root of 5322432144 is about 1745.9697342578.

Adding to 5322432144 its reverse (4412342235), we get a palindrome (9734774379).

The spelling of 5322432144 in words is "five billion, three hundred twenty-two million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 491 636 848 982 1272 1473 1964 2544 2946 3928 4261 5892 7856 8522 11784 12783 17044 23568 25566 26023 34088 51132 52046 68176 78069 102264 104092 156138 204528 208184 225833 312276 416368 451666 624552 677499 903332 1249104 1354998 1806664 2092151 2709996 3613328 4184302 5419992 6276453 8368604 10839984 12552906 16737208 25105812 33474416 50211624 100423248 110884003 221768006 332652009 443536012 665304018 887072024 1330608036 1774144048 2661216072 5322432144