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540233154434144 = 2564758614452001
BaseRepresentation
bin111101011010101101101010…
…1010001000001010001100000
32121211210210012101201002202202
41322311123111101001101200
51031302140000013343034
65152551403542432332
7221535362120145323
oct17265332521012140
92554723171632682
10540233154434144
11147153659913136
125071097a4326a8
131a2599ca019192
1497595d1d887ba
15426ca865b547e
hex1eb56d5441460

540233154434144 has 48 divisors (see below), whose sum is σ = 1065409880796576. Its totient is φ = 269653009920000.

The previous prime is 540233154434111. The next prime is 540233154434219. The reversal of 540233154434144 is 441434451332045.

It is a super-2 number, since 2×5402331544341442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119120144 + ... + 123572144.

It is an arithmetic number, because the mean of its divisors is an integer number (22196039183262).

Almost surely, 2540233154434144 is an apocalyptic number.

It is an amenable number.

540233154434144 is a deficient number, since it is larger than the sum of its proper divisors (525176726362432).

540233154434144 is a wasteful number, since it uses less digits than its factorization.

540233154434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458519 (or 4458511 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 47.

The spelling of 540233154434144 in words is "five hundred forty trillion, two hundred thirty-three billion, one hundred fifty-four million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 647 1294 2588 5176 5861 10352 11722 20704 23444 46888 93776 187552 3792067 4452001 7584134 8904002 15168268 17808004 30336536 35616008 60673072 71232016 121346144 142464032 2880444647 5760889294 11521778588 23043557176 26093177861 46087114352 52186355722 92174228704 104372711444 208745422888 417490845776 834981691552 16882286076067 33764572152134 67529144304268 135058288608536 270116577217072 540233154434144