Search a number
-
+
433341201040 = 24511267668159
BaseRepresentation
bin1100100111001010010…
…01011111101010010000
31112102112021220212112121
412103211021133222100
524044440321413130
6531024005504024
743210412301526
oct6234511375220
91472467825477
10433341201040
111578628a1200
126bb99112014
1331b2ccacb77
1416d8c270316
15b413a12d7a
hex64e525fa90

433341201040 has 120 divisors (see below), whose sum is σ = 1123968061440. Its totient is φ = 155226466560.

The previous prime is 433341201017. The next prime is 433341201043. The reversal of 433341201040 is 40102143334.

It is a junction number, because it is equal to n+sod(n) for n = 433341200996 and 433341201014.

It is not an unprimeable number, because it can be changed into a prime (433341201043) 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 23 ways as a sum of consecutive naturals, for example, 314481 + ... + 982639.

It is an arithmetic number, because the mean of its divisors is an integer number (9366400512).

Almost surely, 2433341201040 is an apocalyptic number.

433341201040 is a gapful number since it is divisible by the number (40) 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 433341201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561984030720).

433341201040 is an abundant number, since it is smaller than the sum of its proper divisors (690626860400).

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

433341201040 is a wasteful number, since it uses less digits than its factorization.

433341201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668261 (or 668244 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 433341201040 its reverse (40102143334), we get a palindrome (473443344374).

The spelling of 433341201040 in words is "four hundred thirty-three billion, three hundred forty-one million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 121 134 176 220 242 268 335 440 484 536 605 670 737 880 968 1072 1210 1340 1474 1936 2420 2680 2948 3685 4840 5360 5896 7370 8107 9680 11792 14740 16214 29480 32428 40535 58960 64856 81070 129712 162140 324280 648560 668159 1336318 2672636 3340795 5345272 6681590 7349749 10690544 13363180 14699498 26726360 29398996 36748745 44766653 53452720 58797992 73497490 80847239 89533306 117595984 146994980 161694478 179066612 223833265 293989960 323388956 358133224 404236195 447666530 492433183 587979920 646777912 716266448 808472390 895333060 984866366 1293555824 1616944780 1790666120 1969732732 2462165915 3233889560 3581332240 3939465464 4924331830 5416765013 6467779120 7878930928 9848663660 10833530026 19697327320 21667060052 27083825065 39394654640 43334120104 54167650130 86668240208 108335300260 216670600520 433341201040