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541130431304 = 231923747107747
BaseRepresentation
bin1111101111111011110…
…00110001101101001000
31220201202022101002222002
413313331320301231020
532331213342300204
61052331503050132
754044500526261
oct7677570615510
91821668332862
10541130431304
11199546026291
1288a5b5a0948
133c04a4773a8
141c2959b1968
15e1219b291e
hex7dfde31b48

541130431304 has 96 divisors (see below), whose sum is σ = 1123182391680. Its totient is φ = 244088650368.

The previous prime is 541130431301. The next prime is 541130431307. The reversal of 541130431304 is 403134031145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541130431301) and next prime (541130431307).

It is not an unprimeable number, because it can be changed into a prime (541130431301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4968359 + ... + 5076105.

It is an arithmetic number, because the mean of its divisors is an integer number (11699816580).

Almost surely, 2541130431304 is an apocalyptic number.

It is an amenable number.

541130431304 is an abundant number, since it is smaller than the sum of its proper divisors (582051960376).

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

541130431304 is a wasteful number, since it uses less digits than its factorization.

541130431304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107875 (or 107852 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 541130431304 its reverse (403134031145), we get a palindrome (944264462449).

The spelling of 541130431304 in words is "five hundred forty-one billion, one hundred thirty million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 4 8 19 37 38 47 74 76 94 148 152 188 296 361 376 703 722 893 1406 1444 1739 1786 2812 2888 3478 3572 5624 6956 7144 13357 13912 16967 26714 33041 33934 53428 66082 67868 106856 107747 132164 135736 215494 264328 430988 627779 861976 1255558 2047193 2511116 3986639 4094386 5022232 5064109 7973278 8188772 10128218 15946556 16377544 20256436 31893112 38896667 40512872 75746141 77793334 96218071 151492282 155586668 187372033 192436142 302984564 311173336 374744066 384872284 605969128 749488132 769744568 1439176679 1498976264 1828143349 2878353358 3560068627 3656286698 5756706716 7120137254 7312573396 11513413432 14240274508 14625146792 28480549016 67641303913 135282607826 270565215652 541130431304