Search a number
-
+
16441143421010 = 25711151337419599
BaseRepresentation
bin1110111101000000000010…
…0000110110100001010010
32011012202110112221111222012
43233100000200312201102
54123332430203433020
654544542414342522
73314555601150320
oct357200040664122
964182415844865
1016441143421010
115269716928a50
121a164a17baa42
13923515a50589
1440ba81490d10
151d7a1286c7c5
hexef400836852

16441143421010 has 128 divisors (see below), whose sum is σ = 37251134668800. Its totient is φ = 5075457408000.

The previous prime is 16441143420991. The next prime is 16441143421033. The reversal of 16441143421010 is 1012434114461.

It is a super-3 number, since 3×164411434210103 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38973191 + ... + 39392789.

It is an arithmetic number, because the mean of its divisors is an integer number (291024489600).

Almost surely, 216441143421010 is an apocalyptic number.

16441143421010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16441143421010 is an abundant number, since it is smaller than the sum of its proper divisors (20809991247790).

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

16441143421010 is a wasteful number, since it uses less digits than its factorization.

16441143421010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420112.

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 16441143421010 its reverse (1012434114461), we get a palindrome (17453577535471).

The spelling of 16441143421010 in words is "sixteen trillion, four hundred forty-one billion, one hundred forty-three million, four hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 151 154 302 337 385 674 755 770 1057 1510 1661 1685 2114 2359 3322 3370 3707 4718 5285 7414 8305 10570 11627 11795 16610 18535 23254 23590 25949 37070 50887 51898 58135 101774 116270 129745 254435 259490 356209 419599 508870 559757 712418 839198 1119514 1781045 2097995 2798785 2937193 3562090 3918299 4195990 4615589 5597570 5874386 7836598 9231178 14685965 19591495 23077945 29371930 32309123 39182990 46155890 63359449 64618246 126718898 141404863 161545615 282809726 316797245 323091230 443516143 633594490 696953939 707024315 887032286 989834041 1393907878 1414048630 1555453493 1979668082 2217580715 3110906986 3484769695 4435161430 4878677573 4949170205 6969539390 7777267465 9757355146 9898340410 10888174451 15554534930 21352134313 21776348902 24393387865 42704268626 48786775730 54440872255 106760671565 108881744510 149464940191 213521343130 234873477443 298929880382 469746954886 747324700955 1174367387215 1494649401910 1644114342101 2348734774430 3288228684202 8220571710505 16441143421010