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342034221144 = 2337111069173137
BaseRepresentation
bin1001111101000101101…
…01000000100001011000
31012200211221201201001110
410332202311000201120
521100441230034034
6421043420220320
733465632624130
oct4764265004130
91180757651043
10342034221144
11122068445840
125635669a6a0
132633b47a905
14127a9955ac0
158d6ca67de9
hex4fa2d40858

342034221144 has 128 divisors (see below), whose sum is σ = 1067084121600. Its totient is φ = 88756439040.

The previous prime is 342034221131. The next prime is 342034221149. The reversal of 342034221144 is 441122430243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342034221149) 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, 1888944 + ... + 2062080.

It is an arithmetic number, because the mean of its divisors is an integer number (8336594700).

Almost surely, 2342034221144 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 342034221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533542060800).

342034221144 is an abundant number, since it is smaller than the sum of its proper divisors (725049900456).

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

342034221144 is a wasteful number, since it uses less digits than its factorization.

342034221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174233 (or 174229 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 342034221144 its reverse (441122430243), we get a palindrome (783156651387).

The spelling of 342034221144 in words is "three hundred forty-two billion, thirty-four million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1069 1848 2138 3207 4276 6414 7483 8552 11759 12828 14966 22449 23518 25656 29932 35277 44898 47036 59864 70554 82313 89796 94072 141108 164626 173137 179592 246939 282216 329252 346274 493878 519411 658504 692548 987756 1038822 1211959 1385096 1904507 1975512 2077644 2423918 3635877 3809014 4155288 4847836 5713521 7271754 7618028 9695672 11427042 13331549 14543508 15236056 22854084 26663098 29087016 39994647 45708168 53326196 79989294 106652392 159978588 185083453 319957176 370166906 555250359 740333812 1110500718 1295584171 1480667624 2035917983 2221001436 2591168342 3886752513 4071835966 4442002872 5182336684 6107753949 7773505026 8143671932 10364673368 12215507898 14251425881 15547010052 16287343864 24431015796 28502851762 31094020104 42754277643 48862031592 57005703524 85508555286 114011407048 171017110572 342034221144