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4234434432340 = 2257971007930937
BaseRepresentation
bin111101100111100111111…
…101011100110101010100
3112222210211000102210101111
4331213213331130311110
51023334110203313330
613001134453304404
7614633142543130
oct75474775346524
915883730383344
104234434432340
1113928a4933512
125847b3635104
132493c810a258
14108d3a7883c0
15752324e432a
hex3d9e7f5cd54

4234434432340 has 96 divisors (see below), whose sum is σ = 10268762757120. Its totient is φ = 1436650020864.

The previous prime is 4234434432329. The next prime is 4234434432343. The reversal of 4234434432340 is 432344344324.

It is a junction number, because it is equal to n+sod(n) for n = 4234434432293 and 4234434432302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234434432343) 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, 136857352 + ... + 136888288.

It is an arithmetic number, because the mean of its divisors is an integer number (106966278720).

Almost surely, 24234434432340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234434432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134381378560).

4234434432340 is an abundant number, since it is smaller than the sum of its proper divisors (6034328324780).

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

4234434432340 is a wasteful number, since it uses less digits than its factorization.

4234434432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41129 (or 41127 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

Adding to 4234434432340 its reverse (432344344324), we get a palindrome (4666778776664).

The spelling of 4234434432340 in words is "four trillion, two hundred thirty-four billion, four hundred thirty-four million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 6790 10079 13580 20158 30937 40316 50395 61874 70553 100790 123748 141106 154685 201580 216559 282212 309370 352765 433118 618740 705530 866236 977663 1082795 1411060 1955326 2165590 3000889 3910652 4331180 4888315 6001778 6843641 9776630 12003556 13687282 15004445 19553260 21006223 27374564 30008890 34218205 42012446 60017780 68436410 84024892 105031115 136872820 210062230 311814023 420124460 623628046 1247256092 1559070115 2182698161 3118140230 4365396322 6236280460 8730792644 10913490805 21826981610 30245960231 43653963220 60491920462 120983840924 151229801155 211721721617 302459602310 423443443234 604919204620 846886886468 1058608608085 2117217216170 4234434432340