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21441314310330 = 2353174099475821
BaseRepresentation
bin1001110000000001100011…
…11011000100100010111010
32210220202210001121201110110
410320000301323010202322
510302243302430412310
6113334000453525150
74342040520354165
oct470006173044272
983822701551413
1021441314310330
116917234a55152
1224a35789437b6
13bc6ba4348885
14541a9d7dcadc
15272b10097d20
hex138031ec48ba

21441314310330 has 128 divisors (see below), whose sum is σ = 51811243004160. Its totient is φ = 5678731745280.

The previous prime is 21441314310313. The next prime is 21441314310341. The reversal of 21441314310330 is 3301341314412.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3683438820 + ... + 3683444640.

It is an arithmetic number, because the mean of its divisors is an integer number (404775335970).

Almost surely, 221441314310330 is an apocalyptic number.

21441314310330 is an abundant number, since it is smaller than the sum of its proper divisors (30369928693830).

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

21441314310330 is a wasteful number, since it uses less digits than its factorization.

21441314310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 21441314310330 its reverse (3301341314412), we get a palindrome (24742655624742).

The spelling of 21441314310330 in words is "twenty-one trillion, four hundred forty-one billion, three hundred fourteen million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 317 409 634 818 947 951 1227 1585 1894 1902 2045 2454 2841 3170 4090 4735 4755 5682 5821 6135 9470 9510 11642 12270 14205 17463 28410 29105 34926 58210 87315 129653 174630 259306 300199 387323 388959 600398 648265 774646 777918 900597 1161969 1296530 1500995 1801194 1845257 1936615 1944795 2323938 2380789 3001990 3690514 3873230 3889590 4502985 4761578 5512487 5535771 5809845 7142367 9005970 9226285 11024974 11071542 11619690 11903945 14284734 16537461 18452570 23807890 27562435 27678855 33074922 35711835 55124870 55357710 71423670 82687305 122781391 165374610 245562782 368344173 613906955 736688346 754710113 1227813910 1509420226 1747458379 1841720865 2254607183 2264130339 3494916758 3683441730 3773550565 4509214366 4528260678 5242375137 6763821549 7547101130 8737291895 10484750274 11273035915 11320651695 13527643098 17474583790 22546071830 22641303390 26211875685 33819107745 52423751370 67638215490 714710477011 1429420954022 2144131431033 3573552385055 4288262862066 7147104770110 10720657155165 21441314310330