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286418064240 = 2432571121921301
BaseRepresentation
bin1000010101011111101…
…10001101001101110000
31000101021222010012111100
410022233312031031300
514143041011023430
6335324553044400
726456464243110
oct4125766151560
91011258105440
10286418064240
11100518591a00
12476149b6700
1321017017629
14dc113b3040
1576b510b960
hex42afd8d370

286418064240 has 1080 divisors, whose sum is σ = 1276244502624. Its totient is φ = 56339712000.

The previous prime is 286418064239. The next prime is 286418064241. The reversal of 286418064240 is 42460814682.

It is an interprime number because it is at equal distance from previous prime (286418064239) and next prime (286418064241).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286418064241) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 220151590 + ... + 220152890.

Almost surely, 2286418064240 is an apocalyptic number.

286418064240 is a gapful number since it is divisible by the number (20) 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 286418064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638122251312).

286418064240 is an abundant number, since it is smaller than the sum of its proper divisors (989826438384).

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

286418064240 is a wasteful number, since it uses less digits than its factorization.

286418064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 286418064240 in words is "two hundred eighty-six billion, four hundred eighteen million, sixty-four thousand, two hundred forty".