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13412051145304 = 237337733180221
BaseRepresentation
bin1100001100101011110010…
…0010110101001001011000
31202111011211220102111210021
43003022330202311021120
53224220340043122204
644305224454400224
72552663062504000
oct303127442651130
952434756374707
1013412051145304
114301023246a09
121607418960074
1376399bc27a66
1434520a91b000
15183d29055154
hexc32bc8b5258

13412051145304 has 128 divisors (see below), whose sum is σ = 30160512144000. Its totient is φ = 5585009149440.

The previous prime is 13412051145239. The next prime is 13412051145313. The reversal of 13412051145304 is 40354115021431.

It is a self number, because there is not a number n which added to its sum of digits gives 13412051145304.

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, 74329914 + ... + 74510134.

It is an arithmetic number, because the mean of its divisors is an integer number (235629001125).

Almost surely, 213412051145304 is an apocalyptic number.

13412051145304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412051145304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080256072000).

13412051145304 is an abundant number, since it is smaller than the sum of its proper divisors (16748460998696).

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

13412051145304 is a wasteful number, since it uses less digits than its factorization.

13412051145304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181018 (or 181000 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 13412051145304 its reverse (40354115021431), we get a palindrome (53766166166735).

The spelling of 13412051145304 in words is "thirteen trillion, four hundred twelve billion, fifty-one million, one hundred forty-five thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 343 392 518 686 733 1036 1372 1466 1813 2072 2744 2932 3626 5131 5864 7252 10262 12691 14504 20524 25382 27121 35917 41048 50764 54242 71834 101528 108484 143668 180221 189847 216968 251419 287336 360442 379694 502838 720884 759388 1005676 1261547 1328929 1441768 1518776 2011352 2523094 2657858 5046188 5315716 6668177 8830829 9302503 10092376 10631432 13336354 17661658 18605006 26672708 35323316 37210012 46677239 53345416 61815803 70646632 74420024 93354478 123631606 132101993 186708956 247263212 264203986 326740673 373417912 494526424 528407972 653481346 924713951 1056815944 1306962692 1849427902 2287184711 2613925384 3698855804 4574369422 4887773741 6472997657 7397711608 9148738844 9775547482 12945995314 18297477688 19551094964 25891990628 34214416187 39102189928 45310983599 51783981256 68428832374 90621967198 136857664748 181243934396 239500913309 273715329496 362487868792 479001826618 958003653236 1676506393163 1916007306472 3353012786326 6706025572652 13412051145304