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21340331634024 = 23331312917588359
BaseRepresentation
bin1001101101000101011101…
…11000101110110101101000
32210120010010101220020202000
410312202232320232311220
510244114444344242044
6113215340224411000
74331534211646164
oct466425670566550
983503111806660
1021340331634024
116888424958877
122487a95a76a60
13bba500086180
1453ac4005dca4
1527019e94ed69
hex1368aee2ed68

21340331634024 has 128 divisors (see below), whose sum is σ = 63843649632000. Its totient is φ = 6565736385792.

The previous prime is 21340331634023. The next prime is 21340331634073. The reversal of 21340331634024 is 42043613304312.

It is a happy number.

21340331634024 is a `hidden beast` number, since 2 + 13 + 4 + 0 + 3 + 3 + 1 + 634 + 0 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21340331634024.

It is not an unprimeable number, because it can be changed into a prime (21340331634023) 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, 35976757 + ... + 36565115.

It is an arithmetic number, because the mean of its divisors is an integer number (498778512750).

Almost surely, 221340331634024 is an apocalyptic number.

21340331634024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21340331634024 is an abundant number, since it is smaller than the sum of its proper divisors (42503317997976).

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

21340331634024 is a wasteful number, since it uses less digits than its factorization.

21340331634024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601304 (or 601294 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 21340331634024 its reverse (42043613304312), we get a palindrome (63383944938336).

The spelling of 21340331634024 in words is "twenty-one trillion, three hundred forty billion, three hundred thirty-one million, six hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 12917 25834 38751 51668 77502 103336 116253 155004 167921 232506 310008 335842 348759 465012 503763 588359 671684 697518 930024 1007526 1176718 1343368 1395036 1511289 1765077 2015052 2353436 2790072 3022578 3530154 4030104 4533867 4706872 5295231 6045156 7060308 7648667 9067734 10590462 12090312 14120616 15297334 15885693 18135468 21180924 22946001 30594668 31771386 36270936 42361848 45892002 61189336 63542772 68838003 91784004 127085544 137676006 183568008 206514009 275352012 413028018 550704024 826056036 1652112072 7599833203 15199666406 22799499609 30399332812 45598999218 60798665624 68398498827 91197998436 98797831639 136796997654 182395996872 197595663278 205195496481 273593995308 296393494917 395191326556 410390992962 547187990616 592786989834 790382653112 820781985924 889180484751 1185573979668 1641563971848 1778360969502 2371147959336 2667541454253 3556721939004 5335082908506 7113443878008 10670165817012 21340331634024