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21305240543040 = 263522192958899
BaseRepresentation
bin1001101100000100000110…
…10010110101111101000000
32210102202112211211010110120
410312002003102311331000
510243031113034334130
6113151254204500240
74326152502414366
oct466020322657500
983382484733416
1021305240543040
116874557950833
122481121b4a680
13bb70ca01aacc
14539271801636
1526e2e8dc9910
hex1360834b5f40

21305240543040 has 56 divisors (see below), whose sum is σ = 67644138727200. Its totient is φ = 5681397477888.

The previous prime is 21305240543011. The next prime is 21305240543047. The reversal of 21305240543040 is 4034504250312.

It is a junction number, because it is equal to n+sod(n) for n = 21305240542992 and 21305240543010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21305240543047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11096478490 + ... + 11096480409.

It is an arithmetic number, because the mean of its divisors is an integer number (1207931048700).

Almost surely, 221305240543040 is an apocalyptic number.

21305240543040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21305240543040 is an abundant number, since it is smaller than the sum of its proper divisors (46338898184160).

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

21305240543040 is a wasteful number, since it uses less digits than its factorization.

21305240543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22192958919 (or 22192958909 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 21305240543040 its reverse (4034504250312), we get a palindrome (25339744793352).

The spelling of 21305240543040 in words is "twenty-one trillion, three hundred five billion, two hundred forty million, five hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 22192958899 44385917798 66578876697 88771835596 110964794495 133157753394 177543671192 221929588990 266315506788 332894383485 355087342384 443859177980 532631013576 665788766970 710174684768 887718355960 1065262027152 1331577533940 1420349369536 1775436711920 2130524054304 2663155067880 3550873423840 4261048108608 5326310135760 7101746847680 10652620271520 21305240543040