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13450313405424 = 2437291731372183
BaseRepresentation
bin1100001110111010010100…
…1001110001001111110000
31202121211121110121201022110
43003232211021301033300
53230332220212433144
644334553315405320
72555516206366530
oct303564511611760
952554543551273
1013450313405424
1143162782a5295
1216129168b3840
13767488c78b6c
14346dda3bb4c0
15184d181d10b9
hexc3ba52713f0

13450313405424 has 80 divisors (see below), whose sum is σ = 39711839247872. Its totient is φ = 3842812157184.

The previous prime is 13450313405363. The next prime is 13450313405509. The reversal of 13450313405424 is 42450431305431.

13450313405424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9116037 + ... + 10488219.

Almost surely, 213450313405424 is an apocalyptic number.

13450313405424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13450313405424 is an abundant number, since it is smaller than the sum of its proper divisors (26261525842448).

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

13450313405424 is a wasteful number, since it uses less digits than its factorization.

13450313405424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401374 (or 1401368 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 13450313405424 in words is "thirteen trillion, four hundred fifty billion, three hundred thirteen million, four hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 29173 58346 87519 116692 175038 204211 233384 350076 408422 466768 612633 700152 816844 1225266 1372183 1400304 1633688 2450532 2744366 3267376 4116549 4901064 5488732 8233098 9605281 9802128 10977464 16466196 19210562 21954928 28815843 32932392 38421124 57631686 65864784 76842248 115263372 153684496 230526744 461053488 40030694659 80061389318 120092083977 160122778636 240184167954 280214862613 320245557272 480368335908 560429725226 640491114544 840644587839 960736671816 1120859450452 1681289175678 1921473343632 2241718900904 3362578351356 4483437801808 6725156702712 13450313405424