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30412241225304 = 23319181937393247
BaseRepresentation
bin1101110101000111001101…
…10101011100011001011000
310222200101022101021210201220
412322203212311130121120
512441233232223202204
6144403105111212040
76256132455111561
oct672434665343130
9128611271253656
1030412241225304
119765839365184
1234b211a077020
1313c7b28ba1873
14771d63201168
1537b15b1e21d9
hex1ba8e6d5c658

30412241225304 has 128 divisors (see below), whose sum is σ = 80560470681600. Its totient is φ = 9540588395520.

The previous prime is 30412241225273. The next prime is 30412241225351. The reversal of 30412241225304 is 40352214221403.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77139609 + ... + 77532855.

It is an arithmetic number, because the mean of its divisors is an integer number (629378677200).

Almost surely, 230412241225304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30412241225304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40280235340800).

30412241225304 is an abundant number, since it is smaller than the sum of its proper divisors (50148229456296).

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

30412241225304 is a wasteful number, since it uses less digits than its factorization.

30412241225304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394393 (or 394389 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 30412241225304 its reverse (40352214221403), we get a palindrome (70764455446707).

The spelling of 30412241225304 in words is "thirty trillion, four hundred twelve billion, two hundred forty-one million, two hundred twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 181 228 362 456 543 724 937 1086 1448 1874 2172 2811 3439 3748 4344 5622 6878 7496 10317 11244 13756 17803 20634 22488 27512 35606 41268 53409 71212 82536 106818 142424 169597 213636 339194 393247 427272 508791 678388 786494 1017582 1179741 1356776 1572988 2035164 2359482 3145976 3222343 4070328 4718964 6444686 7471693 9437928 9667029 12889372 14943386 19334058 22415079 25778744 29886772 38668116 44830158 59773544 71177707 77336232 89660316 142355414 179320632 213533121 284710828 368472439 427066242 569421656 736944878 854132484 1105417317 1352376433 1473889756 1708264968 2210834634 2704752866 2947779512 4057129299 4421669268 5409505732 7000976341 8114258598 8843338536 10819011464 14001952682 16228517196 21002929023 28003905364 32457034392 42005858046 56007810728 66693511459 84011716092 133387022918 168023432184 200080534377 266774045836 400161068754 533548091672 800322137508 1267176717721 1600644275016 2534353435442 3801530153163 5068706870884 7603060306326 10137413741768 15206120612652 30412241225304