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212144044000 = 2553719974111
BaseRepresentation
bin1100010110010011000…
…1010011011111100000
3202021120200110001001211
43011210301103133200
511433432333402000
6241242503035504
721220061423050
oct3054461233740
9667520401054
10212144044000
1181a738671a9
123514673bb94
131700b278925
14a3a6cb7560
1557b96997ba
hex3164c537e0

212144044000 has 384 divisors, whose sum is σ = 633671700480. Its totient is φ = 68179968000.

The previous prime is 212144043989. The next prime is 212144044043. The reversal of 212144044000 is 440441212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51601945 + ... + 51606055.

It is an arithmetic number, because the mean of its divisors is an integer number (1650186720).

Almost surely, 2212144044000 is an apocalyptic number.

212144044000 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 212144044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316835850240).

212144044000 is an abundant number, since it is smaller than the sum of its proper divisors (421527656480).

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

212144044000 is a wasteful number, since it uses less digits than its factorization.

212144044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 212144044000 its reverse (440441212), we get a palindrome (212584485212).

The spelling of 212144044000 in words is "two hundred twelve billion, one hundred forty-four million, forty-four thousand".