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21324243331440 = 2432574231000661
BaseRepresentation
bin1001101100100111011111…
…11100101110100101110000
32210111120121011220210120100
410312103233330232211300
510243334022243101230
6113204115552312400
74330424425433010
oct466235774564560
983446534823510
1021324243331440
116881619490a35
122484945b42700
13bb8b37c237ba
1453a1554a3c40
1526ea5c315660
hex1364eff2e970

21324243331440 has 120 divisors (see below), whose sum is σ = 81844476805728. Its totient is φ = 4874112760320.

The previous prime is 21324243331439. The next prime is 21324243331441. The reversal of 21324243331440 is 4413334242312.

21324243331440 is a `hidden beast` number, since 2 + 1 + 3 + 242 + 43 + 331 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21324243331439) and next prime (21324243331441).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 21324243331395 and 21324243331404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21324243331441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2115495291 + ... + 2115505370.

Almost surely, 221324243331440 is an apocalyptic number.

21324243331440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21324243331440 is an abundant number, since it is smaller than the sum of its proper divisors (60520233474288).

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

21324243331440 is a wasteful number, since it uses less digits than its factorization.

21324243331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231000687 (or 4231000678 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 21324243331440 its reverse (4413334242312), we get a palindrome (25737577573752).

The spelling of 21324243331440 in words is "twenty-one trillion, three hundred twenty-four billion, two hundred forty-three million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 4231000661 8462001322 12693001983 16924002644 21155003305 25386003966 29617004627 33848005288 38079005949 42310006610 50772007932 59234009254 63465009915 67696010576 76158011898 84620013220 88851013881 101544015864 118468018508 126930019830 148085023135 152316023796 169240026440 177702027762 190395029745 203088031728 236936037016 253860039660 266553041643 296170046270 304632047592 338480052880 355404055524 380790059490 444255069405 473872074032 507720079320 533106083286 592340092540 609264095184 710808111048 761580118980 888510138810 1015440158640 1066212166572 1184680185080 1332765208215 1421616222096 1523160237960 1777020277620 2132424333144 2369360370160 2665530416430 3046320475920 3554040555240 4264848666288 5331060832860 7108081110480 10662121665720 21324243331440