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3423344433243 = 372292817733697
BaseRepresentation
bin110001110100001111001…
…110101001100001011011
3110010021020202111201121120
4301310033032221201123
5422042002133330433
611140355051540323
7502220444365200
oct61641716514133
913107222451546
103423344433243
1110aa917760309
1247357315a6a3
131baa876b4847
14bb995605ca7
155e0b07d67b3
hex31d0f3a985b

3423344433243 has 96 divisors (see below), whose sum is σ = 5520940637760. Its totient is φ = 1879077150720.

The previous prime is 3423344433221. The next prime is 3423344433251.

3423344433243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3423344433243 - 214 = 3423344416859 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3423344433195 and 3423344433204.

It is not an unprimeable number, because it can be changed into a prime (3423344433283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 925977171 + ... + 925980867.

It is an arithmetic number, because the mean of its divisors is an integer number (57509798310).

Almost surely, 23423344433243 is an apocalyptic number.

3423344433243 is a deficient number, since it is larger than the sum of its proper divisors (2097596204517).

3423344433243 is a wasteful number, since it uses less digits than its factorization.

3423344433243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4790 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 42.

The spelling of 3423344433243 in words is "three trillion, four hundred twenty-three billion, three hundred forty-four million, four hundred thirty-three thousand, two hundred forty-three".

Divisors: 1 3 7 21 29 49 87 147 203 281 609 773 843 1421 1967 2319 3697 4263 5411 5901 8149 11091 13769 16233 22417 24447 25879 37877 41307 57043 67251 77637 107213 113631 156919 171129 181153 217213 321639 399301 470757 543459 651639 750491 1038857 1098433 1197903 1520491 2251473 2857781 3116571 3295299 4561473 5253437 6299177 7271999 8573343 10643437 15760311 18897531 20004467 21815997 30126853 31930311 44094239 50903993 60013401 82875649 90380559 132282717 140031269 152711979 210887971 248626947 308659673 420093807 580129543 632663913 803036461 925979019 1476215797 1740388629 2409109383 4060906801 4428647391 5621255227 12182720403 16863765681 23288057369 39348786589 69864172107 118046359767 163016401583 489049204749 1141114811081 3423344433243