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20411343323440 = 24517631230910301
BaseRepresentation
bin1001010010000011000101…
…10111100100000100110000
32200021022020121111102002221
410221001202313210010300
510133404412342322230
6111224501445050424
74204446054414466
oct451014267440460
980238217442087
1020411343323440
11655a447202203
122357a316b6a14
13b50a20a05984
14507cb2b40836
15255e2c53927a
hex129062de4130

20411343323440 has 160 divisors (see below), whose sum is σ = 50354240872320. Its totient is φ = 7668025344000.

The previous prime is 20411343323429. The next prime is 20411343323471. The reversal of 20411343323440 is 4432334311402.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 20411343323396 and 20411343323405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981486290 + ... + 1981496590.

It is an arithmetic number, because the mean of its divisors is an integer number (314714005452).

Almost surely, 220411343323440 is an apocalyptic number.

20411343323440 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 20411343323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25177120436160).

20411343323440 is an abundant number, since it is smaller than the sum of its proper divisors (29942897548880).

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

20411343323440 is a wasteful number, since it uses less digits than its factorization.

20411343323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13271 (or 13265 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 20411343323440 its reverse (4432334311402), we get a palindrome (24843677634842).

The spelling of 20411343323440 in words is "twenty trillion, four hundred eleven billion, three hundred forty-three million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 631 680 1262 1360 2309 2524 3155 4618 5048 6310 9236 10096 10301 10727 11545 12620 18472 20602 21454 23090 25240 36944 39253 41204 42908 46180 50480 51505 53635 78506 82408 85816 92360 103010 107270 157012 164816 171632 175117 184720 196265 206020 214540 314024 350234 392530 412040 429080 628048 700468 785060 824080 858160 875585 1400936 1456979 1570120 1751170 2801872 2913958 3140240 3502340 5827916 6499931 7004680 7284895 11655832 12999862 14009360 14569790 23311664 23785009 24768643 25999724 29139580 32499655 47570018 49537286 51999448 58279160 64999310 95140036 99074572 103998896 110498827 116558320 118925045 123843215 129998620 190280072 198149144 220997654 237850090 247686430 259997240 380560144 396298288 404345153 441995308 475700180 495372860 519994480 552494135 808690306 883990616 951400360 990745720 1104988270 1617380612 1767981232 1902800720 1981491440 2021725765 2209976540 3234761224 4043451530 4419953080 6469522448 8086903060 8839906160 15008340679 16173806120 30016681358 32347612240 60033362716 75041703395 120066725432 150083406790 240133450864 255141791543 300166813580 510283583086 600333627160 1020567166172 1200667254320 1275708957715 2041134332344 2551417915430 4082268664688 5102835830860 10205671661720 20411343323440