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4140144333 = 35133167631
BaseRepresentation
bin1111011011000101…
…1001011011001101
3101200112102010100000
43312301121123031
531434334104313
61522453354513
7204411434433
oct36661313315
911615363300
104140144333
111835004796
12976638a39
1350c97c660
142b3bd4d53
15193709673
hexf6c596cd

4140144333 has 96 divisors (see below), whose sum is σ = 7008182272. Its totient is φ = 2424945600.

The previous prime is 4140144287. The next prime is 4140144383. The reversal of 4140144333 is 3334410414.

It is not a de Polignac number, because 4140144333 - 210 = 4140143309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4140144297 and 4140144306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140144383) 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, 6560928 + ... + 6561558.

Almost surely, 24140144333 is an apocalyptic number.

It is an amenable number.

4140144333 is a deficient number, since it is larger than the sum of its proper divisors (2868037939).

4140144333 is a wasteful number, since it uses less digits than its factorization.

4140144333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4140144333 is about 64343.9533522770. The cubic root of 4140144333 is about 1605.7274333793.

Adding to 4140144333 its reverse (3334410414), we get a palindrome (7474554747).

The spelling of 4140144333 in words is "four billion, one hundred forty million, one hundred forty-four thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 31 39 67 81 93 117 201 243 279 351 403 603 631 837 871 1053 1209 1809 1893 2077 2511 2613 3159 3627 5427 5679 6231 7533 7839 8203 10881 16281 17037 18693 19561 23517 24609 27001 32643 42277 51111 56079 58683 70551 73827 81003 97929 126831 153333 168237 176049 211653 221481 243009 254293 380493 504711 528147 549601 664443 729027 762879 1141479 1310587 1584441 1648803 1993329 2187081 2288637 3424437 3931761 4753323 4946409 6561243 6865911 10273311 11795283 14839227 17037631 20597733 35385849 44517681 51112893 61793199 106157547 133553043 153338679 318472641 460016037 1380048111 4140144333