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10212342144440 = 235444757411413
BaseRepresentation
bin1001010010011011111100…
…0001101001110110111000
31100011021211200102211121112
42110212333001221312320
52314304334042110230
633415252450055452
72102550233653562
oct224467701516670
940137750384545
1010212342144440
1132880369a5a97
12118b27887a588
13591034474937
142743cc452332
1512a9a6bbdd95
hex949bf069db8

10212342144440 has 32 divisors (see below), whose sum is σ = 22982937252480. Its totient is φ = 4084018204032.

The previous prime is 10212342144413. The next prime is 10212342144443. The reversal of 10212342144440 is 4444124321201.

It is a junction number, because it is equal to n+sod(n) for n = 10212342144397 and 10212342144406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212342144443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28527827 + ... + 28883586.

It is an arithmetic number, because the mean of its divisors is an integer number (718216789140).

Almost surely, 210212342144440 is an apocalyptic number.

10212342144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212342144440 is an abundant number, since it is smaller than the sum of its proper divisors (12770595108040).

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

10212342144440 is a wasteful number, since it uses less digits than its factorization.

10212342144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57415871 (or 57415867 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 10212342144440 its reverse (4444124321201), we get a palindrome (14656466465641).

The spelling of 10212342144440 in words is "ten trillion, two hundred twelve billion, three hundred forty-two million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 4447 8894 17788 22235 35576 44470 88940 177880 57411413 114822826 229645652 287057065 459291304 574114130 1148228260 2296456520 255308553611 510617107222 1021234214444 1276542768055 2042468428888 2553085536110 5106171072220 10212342144440