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21452042533040 = 24571919991008589
BaseRepresentation
bin1001110000010101100010…
…10111111111100010110000
32210221210110201122220100022
410320022301113333202300
510302432240342024130
6113342533212543012
74342600416634340
oct470126127774260
983853421586308
1021452042533040
11692083a835709
1224a5671781a68
13bc7bc3b77452
145423da564d20
1527303bd507e5
hex1382b15ff8b0

21452042533040 has 160 divisors (see below), whose sum is σ = 60031276800000. Its totient is φ = 6964388895744.

The previous prime is 21452042533027. The next prime is 21452042533093. The reversal of 21452042533040 is 4033524025412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 31 ways as a sum of consecutive naturals, for example, 20765066 + ... + 21773654.

It is an arithmetic number, because the mean of its divisors is an integer number (375195480000).

Almost surely, 221452042533040 is an apocalyptic number.

21452042533040 is a gapful number since it is divisible by the number (20) 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 21452042533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30015638400000).

21452042533040 is an abundant number, since it is smaller than the sum of its proper divisors (38579234266960).

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

21452042533040 is a wasteful number, since it uses less digits than its factorization.

21452042533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010627 (or 1010621 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 21452042533040 its reverse (4033524025412), we get a palindrome (25485566558452).

The spelling of 21452042533040 in words is "twenty-one trillion, four hundred fifty-two billion, forty-two million, five hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 1999 2128 2660 3998 5320 7996 9995 10640 13993 15992 19990 27986 31984 37981 39980 55972 69965 75962 79960 111944 139930 151924 159920 189905 223888 265867 279860 303848 379810 531734 559720 607696 759620 1008589 1063468 1119440 1329335 1519240 2017178 2126936 2658670 3038480 4034356 4253872 5042945 5317340 7060123 8068712 10085890 10634680 14120246 16137424 19163191 20171780 21269360 28240492 35300615 38326382 40343560 56480984 70601230 76652764 80687120 95815955 112961968 134142337 141202460 153305528 191631910 268284674 282404920 306611056 383263820 536569348 564809840 670711685 766527640 1073138696 1341423370 1533055280 2016169411 2146277392 2682846740 4032338822 5365693480 8064677644 10080847055 10731386960 14113185877 16129355288 20161694110 28226371754 32258710576 38307218809 40323388220 56452743508 70565929385 76614437618 80646776440 112905487016 141131858770 153228875236 161293552880 191536094045 225810974032 268150531663 282263717540 306457750472 383072188090 536301063326 564527435080 612915500944 766144376180 1072602126652 1129054870160 1340752658315 1532288752360 2145204253304 2681505316630 3064577504720 4290408506608 5363010633260 10726021266520 21452042533040