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21404430304340 = 22567149201153309
BaseRepresentation
bin1001101110111100110110…
…11101110000010001010100
32210210020120112212002011112
410313132123131300101110
510301142233124214330
6113305020505354152
74336263510444056
oct467363335602124
983706515762145
1021404430304340
116902627992576
1224983a4498958
13bc3576a01265
1453dda0dcd8d6
15271ba1e18795
hex13779b770454

21404430304340 has 96 divisors (see below), whose sum is σ = 45950064048000. Its totient is φ = 8373057707520.

The previous prime is 21404430304337. The next prime is 21404430304343. The reversal of 21404430304340 is 4340303440412.

It is an interprime number because it is at equal distance from previous prime (21404430304337) and next prime (21404430304343).

It is a junction number, because it is equal to n+sod(n) for n = 21404430304297 and 21404430304306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21404430304343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401489606 + ... + 401542914.

It is an arithmetic number, because the mean of its divisors is an integer number (478646500500).

Almost surely, 221404430304340 is an apocalyptic number.

21404430304340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21404430304340 is an abundant number, since it is smaller than the sum of its proper divisors (24545633743660).

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

21404430304340 is a wasteful number, since it uses less digits than its factorization.

21404430304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55545 (or 55543 counting only the distinct ones).

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

Adding to 21404430304340 its reverse (4340303440412), we get a palindrome (25744733744752).

The spelling of 21404430304340 in words is "twenty-one trillion, four hundred four billion, four hundred thirty million, three hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 67 134 149 268 298 335 596 670 745 1340 1490 2011 2980 4022 8044 9983 10055 19966 20110 39932 40220 49915 53309 99830 106618 134737 199660 213236 266545 269474 299639 533090 538948 599278 673685 1066180 1198556 1347370 1498195 2694740 2996390 3571703 5992780 7143406 7943041 14286812 15886082 17858515 20075813 31772164 35717030 39715205 40151626 71434060 79430410 80303252 100379065 107204399 158860820 200758130 214408798 401516260 428817596 532183747 536021995 1064367494 1072043990 2128734988 2144087980 2660918735 5321837470 7182694733 10643674940 14365389466 15973455451 28730778932 31946910902 35913473665 63893821804 71826947330 79867277255 143653894660 159734554510 319469109020 1070221515217 2140443030434 4280886060868 5351107576085 10702215152170 21404430304340