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21442021215420 = 223513210711197423
BaseRepresentation
bin1001110000000010111000…
…00011101100110010111100
32210220211121022210012221110
410320001130003230302330
510302301224412343140
6113334154545202020
74342064163065031
oct470013403546274
983824538705843
1021442021215420
116917567a90433
1224a3735630310
13bc6c87934c00
14541b29653388
15272b52181380
hex13805c0eccbc

21442021215420 has 144 divisors (see below), whose sum is σ = 65017592220672. Its totient is φ = 5277516491520.

The previous prime is 21442021215409. The next prime is 21442021215449. The reversal of 21442021215420 is 2451212024412.

21442021215420 is digitally balanced in base 5 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×214420212154203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108510829 + ... + 108708251.

It is an arithmetic number, because the mean of its divisors is an integer number (451511057088).

Almost surely, 221442021215420 is an apocalyptic number.

21442021215420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442021215420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32508796110336).

21442021215420 is an abundant number, since it is smaller than the sum of its proper divisors (43575571005252).

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

21442021215420 is a wasteful number, since it uses less digits than its factorization.

21442021215420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208172 (or 208157 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 21442021215420 its reverse (2451212024412), we get a palindrome (23893233239832).

The spelling of 21442021215420 in words is "twenty-one trillion, four hundred forty-two billion, twenty-one million, two hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 10711 21422 32133 42844 53555 64266 107110 128532 139243 160665 197423 214220 278486 321330 394846 417729 556972 592269 642660 696215 789692 835458 987115 1184538 1392430 1670916 1810159 1974230 2088645 2369076 2566499 2784860 2961345 3620318 3948460 4177290 5132998 5430477 5922690 7240636 7699497 8354580 9050795 10265996 10860954 11845380 12832495 15398994 18101590 21721908 25664990 27152385 30797988 33364487 36203180 38497485 51329980 54304770 66728974 76994970 100093461 108609540 133457948 153989940 166822435 200186922 333644870 400373844 500467305 667289740 1000934610 2001869220 2114597753 4229195506 6343793259 8458391012 10572988765 12687586518 21145977530 25375173036 27489770789 31718966295 42291955060 54979541578 63437932590 82469312367 109959083156 126875865180 137448853945 164938624734 274897707890 329877249468 357367020257 412346561835 549795415780 714734040514 824693123670 1072101060771 1429468081028 1649386247340 1786835101285 2144202121542 3573670202570 4288404243084 5360505303855 7147340405140 10721010607710 21442021215420