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212042441940 = 2235717435991153
BaseRepresentation
bin1100010101111010110…
…1101110010011010100
3202021022121021010020120
43011132231232103110
511433230331120230
6241224433231540
721214416006120
oct3053655562324
9667277233216
10212042441940
1181a2148105a
12351187025b0
1316cc31c3b74
14a3975ca580
1557b07ca310
hex315eb6e4d4

212042441940 has 384 divisors, whose sum is σ = 737023795200. Its totient is φ = 44442058752.

The previous prime is 212042441939. The next prime is 212042441981. The reversal of 212042441940 is 49144240212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183904404 + ... + 183905556.

It is an arithmetic number, because the mean of its divisors is an integer number (1919332800).

Almost surely, 2212042441940 is an apocalyptic number.

212042441940 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 212042441940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368511897600).

212042441940 is an abundant number, since it is smaller than the sum of its proper divisors (524981353260).

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

212042441940 is a wasteful number, since it uses less digits than its factorization.

212042441940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 212042441940 in words is "two hundred twelve billion, forty-two million, four hundred forty-one thousand, nine hundred forty".