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122241143440 = 24513137857953
BaseRepresentation
bin111000111011000100…
…0111101001010010000
3102200112012021111100001
41301312020331022100
54000322213042230
6132053511535344
711555151401203
oct1616610751220
9380465244301
10122241143440
1147929a36389
121b83638a554
13b6b15c2b50
145cb8c5393a
1532a6aed0ca
hex1c7623d290

122241143440 has 80 divisors (see below), whose sum is σ = 308307485808. Its totient is φ = 44805685248.

The previous prime is 122241143411. The next prime is 122241143441. The reversal of 122241143440 is 44341142221.

It can be written as a sum of positive squares in 8 ways, for example, as 99281296 + 122141862144 = 9964^2 + 349488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 122241143399 and 122241143408.

It is not an unprimeable number, because it can be changed into a prime (122241143441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286497 + ... + 571456.

Almost surely, 2122241143440 is an apocalyptic number.

122241143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122241143440 is an abundant number, since it is smaller than the sum of its proper divisors (186066342368).

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

122241143440 is a wasteful number, since it uses less digits than its factorization.

122241143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858116 (or 858110 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 122241143440 its reverse (44341142221), we get a palindrome (166582285661).

The spelling of 122241143440 in words is "one hundred twenty-two billion, two hundred forty-one million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 137 208 260 274 520 548 685 1040 1096 1370 1781 2192 2740 3562 5480 7124 8905 10960 14248 17810 28496 35620 71240 142480 857953 1715906 3431812 4289765 6863624 8579530 11153389 13727248 17159060 22306778 34318120 44613556 55766945 68636240 89227112 111533890 117539561 178454224 223067780 235079122 446135560 470158244 587697805 892271120 940316488 1175395610 1528014293 1880632976 2350791220 3056028586 4701582440 6112057172 7640071465 9403164880 12224114344 15280142930 24448228688 30560285860 61120571720 122241143440