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6714368144 = 2411172977383
BaseRepresentation
bin1100100000011010…
…10010000010010000
3122022221021020112122
412100031102002100
5102222334240034
63030132113412
7325250121221
oct62015220220
918287236478
106714368144
1129360a4190
121374765868
13830099003
14479a47248
152946e762e
hex190352090

6714368144 has 80 divisors (see below), whose sum is σ = 15544897920. Its totient is φ = 2773370880.

The previous prime is 6714368113. The next prime is 6714368153. The reversal of 6714368144 is 4418634176.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 6714368095 and 6714368104.

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, 48077 + ... + 125459.

It is an arithmetic number, because the mean of its divisors is an integer number (194311224).

Almost surely, 26714368144 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 6714368144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772448960).

6714368144 is an abundant number, since it is smaller than the sum of its proper divisors (8830529776).

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

6714368144 is a wasteful number, since it uses less digits than its factorization.

6714368144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77448 (or 77442 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 6714368144 is about 81941.2481232743. The cubic root of 6714368144 is about 1886.5502746867.

The spelling of 6714368144 in words is "six billion, seven hundred fourteen million, three hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 29 34 44 58 68 88 116 136 176 187 232 272 319 374 464 493 638 748 986 1276 1496 1972 2552 2992 3944 5104 5423 7888 10846 21692 43384 77383 86768 154766 309532 619064 851213 1238128 1315511 1702426 2244107 2631022 3404852 4488214 5262044 6809704 8976428 10524088 13619408 14470621 17952856 21048176 24685177 28941242 35905712 38149819 49370354 57882484 76299638 98740708 115764968 152599276 197481416 231529936 305198552 394962832 419648009 610397104 839296018 1678592036 3357184072 6714368144