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212441719120 = 24514231866143
BaseRepresentation
bin1100010111011010000…
…0110110000101010000
3202022100102120111120021
43011312200312011100
511440040040002440
6241332215153224
721230334550411
oct3056640660520
9668312514507
10212441719120
11821068a29a4
123520a375814
1317057b41457
14a3d4643808
1557d589984a
hex3176836150

212441719120 has 40 divisors (see below), whose sum is σ = 494274364416. Its totient is φ = 84916925568.

The previous prime is 212441719097. The next prime is 212441719151. The reversal of 212441719120 is 21917144212.

212441719120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819232 + ... + 1046911.

Almost surely, 2212441719120 is an apocalyptic number.

212441719120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212441719120 is an abundant number, since it is smaller than the sum of its proper divisors (281832645296).

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

212441719120 is a wasteful number, since it uses less digits than its factorization.

212441719120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867579 (or 1867573 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 212441719120 in words is "two hundred twelve billion, four hundred forty-one million, seven hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1423 2846 5692 7115 11384 14230 22768 28460 56920 113840 1866143 3732286 7464572 9330715 14929144 18661430 29858288 37322860 74645720 149291440 2655521489 5311042978 10622085956 13277607445 21244171912 26555214890 42488343824 53110429780 106220859560 212441719120