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16441140234420 = 22325112754873289
BaseRepresentation
bin1110111101000000000001…
…0100101100100010110100
32011012202110022221121210100
43233100000110230202310
54123332423400000140
654544542222154100
73314555532106056
oct357200024544264
964182408847710
1016441140234420
115269715051900
121a164a0722930
139235151a6015
1440ba80ca18d6
151d7a1243d530
hexef40052c8b4

16441140234420 has 108 divisors (see below), whose sum is σ = 54817388573220. Its totient is φ = 3985730960640.

The previous prime is 16441140234361. The next prime is 16441140234439. The reversal of 16441140234420 is 2443204114461.

16441140234420 is a `hidden beast` number, since 1 + 6 + 4 + 411 + 4 + 0 + 234 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1756716969744 + 14684423264676 = 1325412^2 + 3832026^2 .

It is a super-3 number, since 3×164411402344203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377414865 + ... + 377458424.

It is an arithmetic number, because the mean of its divisors is an integer number (507568412715).

Almost surely, 216441140234420 is an apocalyptic number.

16441140234420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16441140234420 is an abundant number, since it is smaller than the sum of its proper divisors (38376248338800).

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

16441140234420 is a wasteful number, since it uses less digits than its factorization.

16441140234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754873326 (or 754873310 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 16441140234420 its reverse (2443204114461), we get a palindrome (18884344348881).

The spelling of 16441140234420 in words is "sixteen trillion, four hundred forty-one billion, one hundred forty million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 754873289 1509746578 2264619867 3019493156 3774366445 4529239734 6793859601 7548732890 8303606179 9058479468 11323099335 13587719202 15097465780 16607212358 22646198670 24910818537 27175438404 33214424716 33969298005 41518030895 45292397340 49821637074 67938596010 74732455611 83036061790 91339667969 99643274148 124554092685 135877192020 149464911222 166072123580 182679335938 249108185370 274019003907 298929822444 365358671876 373662278055 456698339845 498216370740 548038007814 747324556110 822057011721 913396679690 1096076015628 1370095019535 1494649112220 1644114023442 1826793359380 2740190039070 3288228046884 4110285058605 5480380078140 8220570117210 16441140234420