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202012442444313 = 32614435211594279
BaseRepresentation
bin101101111011101010101111…
…110111110100001000011001
3222111021012102110010120101100
4231323222233313310020121
5202434232440231204223
61553351122423142013
760356626433666454
oct5573525767641031
9874235373116340
10202012442444313
1159404aa5340766
121a7a74462a4909
1388948cb53a627
1437c5650b8449b
151854c19587043
hexb7baafdf4219

202012442444313 has 48 divisors (see below), whose sum is σ = 297819488154240. Its totient is φ = 131914387987200.

The previous prime is 202012442444311. The next prime is 202012442444347. The reversal of 202012442444313 is 313444244210202.

202012442444313 is a `hidden beast` number, since 2 + 0 + 20 + 124 + 42 + 44 + 431 + 3 = 666.

It is not a de Polignac number, because 202012442444313 - 21 = 202012442444311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202012442444311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125913708 + ... + 127507986.

It is an arithmetic number, because the mean of its divisors is an integer number (6204572669880).

Almost surely, 2202012442444313 is an apocalyptic number.

It is an amenable number.

202012442444313 is a deficient number, since it is larger than the sum of its proper divisors (95807045709927).

202012442444313 is a wasteful number, since it uses less digits than its factorization.

202012442444313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595310 (or 1595307 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 202012442444313 its reverse (313444244210202), we get a palindrome (515456686654515).

The spelling of 202012442444313 in words is "two hundred two trillion, twelve billion, four hundred forty-two million, four hundred forty-four thousand, three hundred thirteen".

Divisors: 1 3 9 61 183 443 521 549 1329 1563 3987 4689 27023 31781 81069 95343 230803 243207 286029 692409 1594279 2077227 4782837 14078983 14348511 42236949 97251019 126710847 291753057 706265597 830619359 875259171 2118796791 2491858077 6356390373 7475574231 43082201417 50667780899 129246604251 152003342697 367964376037 387739812753 456010028091 1103893128111 3311679384333 22445826938257 67337480814771 202012442444313