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1243428883200 = 28335273672801
BaseRepresentation
bin10010000110000010001…
…000110000101100000000
311101212111200210221222000
4102012002020300230000
5130333020243230300
62351120124144000
7155556220055610
oct22060210605400
94355450727860
101243428883200
1143a3762088a9
12180b99998000
1390340b6692a
144427a260a40
1522527732c00
hex12182230b00

1243428883200 has 864 divisors, whose sum is σ = 5226952120320. Its totient is φ = 283336704000.

The previous prime is 1243428883181. The next prime is 1243428883219. The reversal of 1243428883200 is 23888243421.

1243428883200 is a `hidden beast` number, since 1 + 2 + 43 + 4 + 288 + 8 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1243428883181) and next prime (1243428883219).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×12434288832002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 443921800 + ... + 443924600.

Almost surely, 21243428883200 is an apocalyptic number.

1243428883200 is a gapful number since it is divisible by the number (10) 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 1243428883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613476060160).

1243428883200 is an abundant number, since it is smaller than the sum of its proper divisors (3983523237120).

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

1243428883200 is a wasteful number, since it uses less digits than its factorization.

1243428883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3185 counting only the distinct ones).

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

The spelling of 1243428883200 in words is "one trillion, two hundred forty-three billion, four hundred twenty-eight million, eight hundred eighty-three thousand, two hundred".