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21312343041440 = 25511101119893919
BaseRepresentation
bin1001101100010001010101…
…01000101110010110100000
32210110102212211102102121212
410312020222220232112200
510243140134304311230
6113154431044005252
74326523504562663
oct466105250562640
983412784372555
1021312343041440
116877572042a20
122482584690828
13bb798c630799
14539746bdd6da
1526e5b26dd895
hex13622aa2e5a0

21312343041440 has 96 divisors (see below), whose sum is σ = 55471559754240. Its totient is φ = 7673210752000.

The previous prime is 21312343041439. The next prime is 21312343041463. The reversal of 21312343041440 is 4414034321312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 21312343041397 and 21312343041406.

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 15 ways as a sum of consecutive naturals, for example, 59769200 + ... + 60124719.

It is an arithmetic number, because the mean of its divisors is an integer number (577828747440).

Almost surely, 221312343041440 is an apocalyptic number.

21312343041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312343041440 is an abundant number, since it is smaller than the sum of its proper divisors (34159216712800).

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

21312343041440 is a wasteful number, since it uses less digits than its factorization.

21312343041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119894046 (or 119894038 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 21312343041440 its reverse (4414034321312), we get a palindrome (25726377362752).

The spelling of 21312343041440 in words is "twenty-one trillion, three hundred twelve billion, three hundred forty-three million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 16160 17776 22220 35552 44440 88880 177760 119893919 239787838 479575676 599469595 959151352 1198939190 1318833109 1918302704 2397878380 2637666218 3836605408 4795756760 5275332436 6594165545 9591513520 10550664872 12109285819 13188331090 19183027040 21101329744 24218571638 26376662180 42202659488 48437143276 52753324360 60546429095 96874286552 105506648720 121092858190 133202144009 193748573104 211013297440 242185716380 266404288018 387497146208 484371432760 532808576036 666010720045 968742865520 1065617152072 1332021440090 1937485731040 2131234304144 2664042880180 4262468608288 5328085760360 10656171520720 21312343041440