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541304331426 = 2321931101505513
BaseRepresentation
bin1111110000010000100…
…00001001110010100010
31220202012102121011002100
413320020100021302202
532332042402101201
61052401034231230
754052011620565
oct7701020116242
91822172534070
10541304331426
11199625201aa1
1288aa9885516
133c0774c3981
141c2b0b1c4dc
15e131db3886
hex7e08409ca2

541304331426 has 96 divisors (see below), whose sum is σ = 1286998202880. Its totient is φ = 163785888000.

The previous prime is 541304331409. The next prime is 541304331427. The reversal of 541304331426 is 624133403145.

541304331426 is a `hidden beast` number, since 54 + 1 + 30 + 433 + 142 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (541304331427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818046 + ... + 1323558.

It is an arithmetic number, because the mean of its divisors is an integer number (13406231280).

Almost surely, 2541304331426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541304331426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643499101440).

541304331426 is an abundant number, since it is smaller than the sum of its proper divisors (745693871454).

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

541304331426 is a wasteful number, since it uses less digits than its factorization.

541304331426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505672 (or 505669 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 541304331426 in words is "five hundred forty-one billion, three hundred four million, three hundred thirty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 101 114 171 186 202 279 303 342 558 589 606 909 1178 1767 1818 1919 3131 3534 3838 5301 5757 6262 9393 10602 11514 17271 18786 28179 34542 56358 59489 118978 178467 356934 505513 535401 1011026 1070802 1516539 3033078 4549617 9099234 9604747 15670903 19209494 28814241 31341806 47012709 51056813 57628482 86442723 94025418 102113626 141038127 153170439 172885446 282076254 297747157 306340878 459511317 595494314 893241471 919022634 970079447 1582761203 1786482942 1940158894 2679724413 2910238341 3165522406 4748283609 5359448826 5820476682 8730715023 9496567218 14244850827 17461430046 28489701654 30072462857 60144925714 90217388571 180434777142 270652165713 541304331426