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21343443440 = 2451153457621
BaseRepresentation
bin10011111000001010…
…110001100111110000
32001002110110021012012
4103320022301213300
5322202410142230
613445520022052
71353624163424
oct237012614760
961073407165
1021343443440
1190628a9a60
124177a61928
132021b13897
1410668b4b84
1584db8d395
hex4f82b19f0

21343443440 has 80 divisors (see below), whose sum is σ = 55156264416. Its totient is φ = 7614796800.

The previous prime is 21343443427. The next prime is 21343443521. The reversal of 21343443440 is 4434434312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21343443397 and 21343443406.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 182171 + ... + 275450.

Almost surely, 221343443440 is an apocalyptic number.

21343443440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21343443440 is an abundant number, since it is smaller than the sum of its proper divisors (33812820976).

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

21343443440 is a wasteful number, since it uses less digits than its factorization.

21343443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457698 (or 457692 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 21343443440 its reverse (4434434312), we get a palindrome (25777877752).

The spelling of 21343443440 in words is "twenty-one billion, three hundred forty-three million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 1060 1166 2120 2332 2915 4240 4664 5830 9328 11660 23320 46640 457621 915242 1830484 2288105 3660968 4576210 5033831 7321936 9152420 10067662 18304840 20135324 24253913 25169155 36609680 40270648 48507826 50338310 80541296 97015652 100676620 121269565 194031304 201353240 242539130 266793043 388062608 402706480 485078260 533586086 970156520 1067172172 1333965215 1940313040 2134344344 2667930430 4268688688 5335860860 10671721720 21343443440