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154021311145 = 5133412811217
BaseRepresentation
bin1000111101110001100…
…0101011001010101001
3112201120000021021201101
42033130120223022221
510010413423424040
6154431215121401
714061535354312
oct2173430531251
9481500237641
10154021311145
115a358018799
1225a25513261
13116a7723000
147651891609
154016b6409a
hex23dc62b2a9

154021311145 has 64 divisors (see below), whose sum is σ = 206003165760. Its totient is φ = 110478950400.

The previous prime is 154021311137. The next prime is 154021311149. The reversal of 154021311145 is 541113120451.

It is a happy number.

154021311145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 113286769561 + 40734541584 = 336581^2 + 201828^2 .

It is not a de Polignac number, because 154021311145 - 23 = 154021311137 is a prime.

It is a super-2 number, since 2×1540213111452 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (154021311149) 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 63 ways as a sum of consecutive naturals, for example, 126557577 + ... + 126558793.

It is an arithmetic number, because the mean of its divisors is an integer number (3218799465).

Almost surely, 2154021311145 is an apocalyptic number.

It is an amenable number.

154021311145 is a deficient number, since it is larger than the sum of its proper divisors (51981854615).

154021311145 is a wasteful number, since it uses less digits than its factorization.

154021311145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 154021311145 its reverse (541113120451), we get a palindrome (695134431596).

The spelling of 154021311145 in words is "one hundred fifty-four billion, twenty-one million, three hundred eleven thousand, one hundred forty-five".

Divisors: 1 5 13 41 65 169 205 281 533 845 1217 1405 2197 2665 3653 6085 6929 10985 11521 15821 18265 34645 47489 49897 57605 79105 90077 149773 205673 237445 249485 341977 450385 617357 648661 748865 1028365 1709885 1947049 2673749 3086785 3243305 4445701 8432593 9735245 13368745 14021057 22228505 25311637 42162965 57794113 70105285 109623709 126558185 182273741 288970565 548118545 751323469 911368705 2369558633 3756617345 11847793165 30804262229 154021311145