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540630553602041 = 72329231871252843
BaseRepresentation
bin111101011101100110101110…
…0000110100010011111111001
32121220012202221211100111211122
41322323031130012202133321
51031330142333210231131
65153454125254035025
7221606161051301420
oct17273153406423771
92556182854314748
10540630553602041
11147297148331911
12507759a6648a75
131a28831c8828c6
1497709309702b7
1542780949b6d7b
hex1ebb35c1a27f9

540630553602041 has 48 divisors (see below), whose sum is σ = 667935757691904. Its totient is φ = 427830789532608.

The previous prime is 540630553602017. The next prime is 540630553602049. The reversal of 540630553602041 is 140206355036045.

It is not a de Polignac number, because 540630553602041 - 218 = 540630553339897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540630553601983 and 540630553602001.

It is not an unprimeable number, because it can be changed into a prime (540630553602049) 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, 430896566 + ... + 432149408.

It is an arithmetic number, because the mean of its divisors is an integer number (13915328285248).

Almost surely, 2540630553602041 is an apocalyptic number.

It is an amenable number.

540630553602041 is a deficient number, since it is larger than the sum of its proper divisors (127305204089863).

540630553602041 is a wasteful number, since it uses less digits than its factorization.

540630553602041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256118 (or 1256089 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 540630553602041 in words is "five hundred forty trillion, six hundred thirty billion, five hundred fifty-three million, six hundred two thousand, forty-one".

Divisors: 1 7 23 29 161 203 667 841 3187 4669 5887 19343 22309 73301 92423 135401 513107 646961 1252843 2125729 2680267 8769901 14880103 18761869 28815389 36332447 61646141 201707723 254327129 431522987 835646281 1053640963 3992810641 5849523967 7375486741 24233742149 27949674487 91834644743 115791508589 169636195043 642842513201 810540560123 2663204697547 3357953749081 18642432882829 23505676243567 77232936228863 540630553602041