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1330242144 = 253711179957
BaseRepresentation
bin100111101001001…
…1110001001100000
310102201002022011120
41033102132021200
510211020222034
6335555412240
744651604660
oct11722361140
93381068146
101330242144
11622983680
123115b4080
1318279623a
14c89541a0
157bbb5c49
hex4f49e260

1330242144 has 96 divisors (see below), whose sum is σ = 4353543936. Its totient is φ = 345515520.

The previous prime is 1330242127. The next prime is 1330242161. The reversal of 1330242144 is 4412420331.

It is an interprime number because it is at equal distance from previous prime (1330242127) and next prime (1330242161).

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 congruent number.

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, 82587 + ... + 97370.

It is an arithmetic number, because the mean of its divisors is an integer number (45349416).

Almost surely, 21330242144 is an apocalyptic number.

1330242144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330242144 is an abundant number, since it is smaller than the sum of its proper divisors (3023301792).

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

1330242144 is a wasteful number, since it uses less digits than its factorization.

1330242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179988 (or 179980 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1330242144 is about 36472.4847522074. The cubic root of 1330242144 is about 1099.7911846051.

Adding to 1330242144 its reverse (4412420331), we get a palindrome (5742662475).

The spelling of 1330242144 in words is "one billion, three hundred thirty million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 179957 359914 539871 719828 1079742 1259699 1439656 1979527 2159484 2519398 2879312 3779097 3959054 4318968 5038796 5758624 5938581 7558194 7918108 8637936 10077592 11877162 13856689 15116388 15836216 17275872 20155184 23754324 27713378 30232776 31672432 40310368 41570067 47508648 55426756 60465552 63344864 83140134 95017296 110853512 120931104 166280268 190034592 221707024 332560536 443414048 665121072 1330242144