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4143340403224 = 2311174759239949
BaseRepresentation
bin111100010010110010010…
…101010011101000011000
3112200002200111221122110021
4330102302111103220120
51020341030120400344
612451231352200224
7605226560222251
oct74226225235030
915602614848407
104143340403224
1113581a9706130
1256b010399074
1324093b747c89
14104778463b28
1572ba00b0b84
hex3c4b2553a18

4143340403224 has 128 divisors (see below), whose sum is σ = 9166939776000. Its totient is φ = 1734370928640.

The previous prime is 4143340403221. The next prime is 4143340403227. The reversal of 4143340403224 is 4223040433414.

It is an interprime number because it is at equal distance from previous prime (4143340403221) and next prime (4143340403227).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4143340403224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143340403221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 416453002 + ... + 416462950.

It is an arithmetic number, because the mean of its divisors is an integer number (71616717000).

Almost surely, 24143340403224 is an apocalyptic number.

4143340403224 is a gapful number since it is divisible by the number (44) 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 4143340403224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583469888000).

4143340403224 is an abundant number, since it is smaller than the sum of its proper divisors (5023599372776).

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

4143340403224 is a wasteful number, since it uses less digits than its factorization.

4143340403224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953 (or 15949 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 4143340403224 its reverse (4223040433414), we get a palindrome (8366380836638).

The spelling of 4143340403224 in words is "four trillion, one hundred forty-three billion, three hundred forty million, four hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 47 68 88 94 136 187 188 374 376 517 748 799 1034 1496 1598 2068 3196 4136 5923 6392 8789 9949 11846 17578 19898 23692 35156 39796 47384 65153 70312 79592 100691 109439 130306 169133 201382 218878 260612 278381 338266 402764 437756 467603 521224 556762 676532 805528 875512 935206 1107601 1113524 1353064 1860463 1870412 2215202 2227048 3062191 3720926 3740824 4430404 4732477 5143633 6124382 7441852 7949251 8860808 9464954 10287266 12248764 14883704 15898502 18929908 20574532 24497528 31797004 37859816 41149064 52057247 58927927 63594008 87441761 104114494 117855854 174883522 208228988 235711708 349767044 416457976 471423416 648207197 699534088 1001774759 1296414394 2003549518 2592828788 2769612569 4007099036 5185657576 5539225138 8014198072 11019522349 11078450276 22039044698 22156900552 30465738259 44078089396 47083413673 60931476518 88156178792 94166827346 121862953036 188333654692 243725906072 376667309384 517917550403 1035835100806 2071670201612 4143340403224