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13430033322444 = 2234194434924643
BaseRepresentation
bin1100001101101110110001…
…0111011001000111001100
31202112220021010001202110000
43003123230113121013030
53230014202012304234
644321401103044300
72554200513465264
oct303335427310714
952486233052400
1013430033322444
114308710765832
12160a9b6ba0690
137655a6557b6b
14346034c287a4
1518452ca8c899
hexc36ec5d91cc

13430033322444 has 120 divisors (see below), whose sum is σ = 37040020395840. Its totient is φ = 4231488789216.

The previous prime is 13430033322421. The next prime is 13430033322451. The reversal of 13430033322444 is 44422333003431.

13430033322444 is a `hidden beast` number, since 1 + 34 + 30 + 0 + 333 + 224 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13430033322399 and 13430033322408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264787 + ... + 5189429.

It is an arithmetic number, because the mean of its divisors is an integer number (308666836632).

Almost surely, 213430033322444 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 13430033322444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520010197920).

13430033322444 is an abundant number, since it is smaller than the sum of its proper divisors (23609987073396).

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

13430033322444 is a wasteful number, since it uses less digits than its factorization.

13430033322444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925121 (or 4925110 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 13430033322444 its reverse (44422333003431), we get a palindrome (57852366325875).

The spelling of 13430033322444 in words is "thirteen trillion, four hundred thirty billion, thirty-three million, three hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 443 513 684 886 1026 1329 1539 1772 2052 2658 3078 3987 5316 6156 7974 8417 11961 15948 16834 23922 25251 33668 35883 47844 50502 71766 75753 101004 143532 151506 227259 303012 454518 681777 909036 1363554 2727108 4924643 9849286 14773929 19698572 29547858 44321787 59095716 88643574 93568217 132965361 177287148 187136434 265930722 280704651 374272868 398896083 531861444 561409302 797792166 842113953 1122818604 1595584332 1684227906 2181616849 2526341859 3368455812 4363233698 5052683718 6544850547 7579025577 8726467396 10105367436 13089701094 15158051154 19634551641 26179402188 30316102308 39269103282 41450720131 58903654923 78538206564 82901440262 117807309846 124352160393 165802880524 176710964769 235614619692 248704320786 353421929538 373056481179 497408641572 706843859076 746112962358 1119169443537 1492225924716 2238338887074 3357508330611 4476677774148 6715016661222 13430033322444