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144773203740 = 2235111087201797
BaseRepresentation
bin1000011011010100100…
…1111100011100011100
3111211200111022202022220
42012311021330130130
54332443420004430
6150301412105340
713313420633124
oct2066511743434
9454614282286
10144773203740
1156441776820
1224084305250
13108627438c9
147015533c84
153b74cc9110
hex21b527c71c

144773203740 has 96 divisors (see below), whose sum is σ = 442625347584. Its totient is φ = 35064072960.

The previous prime is 144773203733. The next prime is 144773203741. The reversal of 144773203740 is 47302377441.

144773203740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1447732037402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144773203692 and 144773203701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144773203741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616522 + ... + 818318.

It is an arithmetic number, because the mean of its divisors is an integer number (4610680704).

Almost surely, 2144773203740 is an apocalyptic number.

144773203740 is a gapful number since it is divisible by the number (10) 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 144773203740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221312673792).

144773203740 is an abundant number, since it is smaller than the sum of its proper divisors (297852143844).

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

144773203740 is a wasteful number, since it uses less digits than its factorization.

144773203740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202907 (or 202905 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 144773203740 in words is "one hundred forty-four billion, seven hundred seventy-three million, two hundred three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1087 2174 3261 4348 5435 6522 10870 11957 13044 16305 21740 23914 32610 35871 47828 59785 65220 71742 119570 143484 179355 201797 239140 358710 403594 605391 717420 807188 1008985 1210782 2017970 2219767 2421564 3026955 4035940 4439534 6053910 6659301 8879068 11098835 12107820 13318602 22197670 26637204 33296505 44395340 66593010 133186020 219353339 438706678 658060017 877413356 1096766695 1316120034 2193533390 2412886729 2632240068 3290300085 4387066780 4825773458 6580600170 7238660187 9651546916 12064433645 13161200340 14477320374 24128867290 28954640748 36193300935 48257734580 72386601870 144773203740