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21440424330 = 23351324232521
BaseRepresentation
bin10011111101111100…
…101110100110001010
32001100012221101222000
4103331330232212022
5322402222034310
613503302411430
71356212412513
oct237574564612
961305841860
1021440424330
119102619156
1241a4430b76
132038c3b120
14107571ba0a
158574484c0
hex4fdf2e98a

21440424330 has 128 divisors (see below), whose sum is σ = 61622346240. Its totient is φ = 5273372160.

The previous prime is 21440424319. The next prime is 21440424331. The reversal of 21440424330 is 3342404412.

It is a happy number.

21440424330 is a `hidden beast` number, since 2 + 14 + 404 + 243 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21440424294 and 21440424303.

It is not an unprimeable number, because it can be changed into a prime (21440424331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8503470 + ... + 8505990.

It is an arithmetic number, because the mean of its divisors is an integer number (481424580).

Almost surely, 221440424330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21440424330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30811173120).

21440424330 is an abundant number, since it is smaller than the sum of its proper divisors (40181921910).

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

21440424330 is a wasteful number, since it uses less digits than its factorization.

21440424330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21440424330 its reverse (3342404412), we get a palindrome (24782828742).

The spelling of 21440424330 in words is "twenty-one billion, four hundred forty million, four hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 2423 2521 3510 4846 5042 7269 7563 12115 12605 14538 15126 21807 22689 24230 25210 31499 32773 36345 37815 43614 45378 62998 65421 65546 68067 72690 75630 94497 98319 109035 113445 130842 136134 157495 163865 188994 196638 218070 226890 283491 294957 314990 327105 327730 340335 472485 491595 566982 589914 654210 680670 850473 884871 944970 983190 1417455 1474785 1700946 1769742 2834910 2949570 4252365 4424355 6108383 8504730 8848710 12216766 18325149 30541915 36650298 54975447 61083830 79408979 91625745 109950894 158817958 164926341 183251490 238226937 274877235 329852682 397044895 476453874 549754470 714680811 794089790 824631705 1191134685 1429361622 1649263410 2144042433 2382269370 3573404055 4288084866 7146808110 10720212165 21440424330