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541243515040 = 2554817702257
BaseRepresentation
bin1111110000001001010…
…00001010000010100000
31220202001012011100200121
413320010220022002200
532331431314440130
61052351022530024
754050342653414
oct7700450120240
91822035140617
10541243515040
111995a3943818
1288a91436914
133c067a1c247
141c2a6a0ad44
15e12b89dd7a
hex7e04a0a0a0

541243515040 has 48 divisors (see below), whose sum is σ = 1278955078632. Its totient is φ = 216452153344.

The previous prime is 541243515011. The next prime is 541243515077. The reversal of 541243515040 is 40515342145.

It can be written as a sum of positive squares in 4 ways, for example, as 119663413776 + 421580101264 = 345924^2 + 649292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 541243514987 and 541243515005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419592 + ... + 1121848.

Almost surely, 2541243515040 is an apocalyptic number.

It is an amenable number.

541243515040 is an abundant number, since it is smaller than the sum of its proper divisors (737711563592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541243515040 is a wasteful number, since it uses less digits than its factorization.

541243515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707089 (or 707081 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 541243515040 its reverse (40515342145), we get a palindrome (581758857185).

The spelling of 541243515040 in words is "five hundred forty-one billion, two hundred forty-three million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4817 9634 19268 24085 38536 48170 77072 96340 154144 192680 385360 702257 770720 1404514 2809028 3511285 5618056 7022570 11236112 14045140 22472224 28090280 56180560 112361120 3382771969 6765543938 13531087876 16913859845 27062175752 33827719690 54124351504 67655439380 108248703008 135310878760 270621757520 541243515040