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150133045330341 = 3337532158333797
BaseRepresentation
bin100010001000101110010010…
…110101100000000110100101
3201200120120122001201211221000
4202020232102311200012211
5124134234434101032331
61251150100251143513
743423516551332013
oct4210562265400645
9650516561654830
10150133045330341
1143923081146127
1214a08959144b99
1365a0640636a58
14291069a12b8b3
1512554897dd0e6
hex888b92d601a5

150133045330341 has 96 divisors (see below), whose sum is σ = 232975962616320. Its totient is φ = 95482987681536.

The previous prime is 150133045330327. The next prime is 150133045330351. The reversal of 150133045330341 is 143033540331051.

It is a happy number.

150133045330341 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 3 + 304 + 5 + 3 + 3 + 0 + 341 = 666.

It is a de Polignac number, because none of the positive numbers 2k-150133045330341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 150133045330296 and 150133045330305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150133045330321) 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 95 ways as a sum of consecutive naturals, for example, 4442183455 + ... + 4442217251.

It is an arithmetic number, because the mean of its divisors is an integer number (2426832943920).

Almost surely, 2150133045330341 is an apocalyptic number.

It is an amenable number.

150133045330341 is a deficient number, since it is larger than the sum of its proper divisors (82842917285979).

150133045330341 is a wasteful number, since it uses less digits than its factorization.

150133045330341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35532 (or 35473 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 150133045330341 its reverse (143033540331051), we get a palindrome (293166585661392).

The spelling of 150133045330341 in words is "one hundred fifty trillion, one hundred thirty-three billion, forty-five million, three hundred thirty thousand, three hundred forty-one".

Divisors: 1 3 9 27 37 53 111 159 333 477 999 1431 1583 1961 2809 4749 5883 8427 14247 17649 25281 33797 42741 52947 58571 75843 83899 101391 103933 175713 251697 304173 311799 527139 755091 912519 935397 1250489 1581417 1791241 2265273 2806191 3104263 3751467 4446647 5373723 9312789 11254401 13339941 16121169 27938367 33763203 40019823 48363507 53500651 66275917 83815101 94935773 120059469 160501953 164525939 198827751 284807319 481505859 493577817 596483253 854421957 1444517577 1480733451 1789449759 1979524087 2563265871 2835534503 3512623601 4442200353 5938572261 8506603509 10537870803 17815716783 25519810527 31613612409 53447150349 76559431581 94840837227 104914776611 150283328659 314744329833 450849985977 944232989499 1352549957931 2832698968497 4057649873793 5560483160383 16681449481149 50044348443447 150133045330341