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42243312330 = 23257113814787
BaseRepresentation
bin100111010101111001…
…011100101011001010
311001001000020121111100
4213111321130223022
51143003241443310
631223432442230
73023554141662
oct472571345312
9131030217440
1042243312330
1116a0828087a
12822b249376
133ca2a6a2cb
14208a4c11a2
15117390bec0
hex9d5e5caca

42243312330 has 96 divisors (see below), whose sum is σ = 111483485568. Its totient is φ = 11095862400.

The previous prime is 42243312271. The next prime is 42243312383. The reversal of 42243312330 is 3321334224.

42243312330 is a `hidden beast` number, since 422 + 4 + 3 + 3 + 1 + 233 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42243312294 and 42243312303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8822197 + ... + 8826983.

It is an arithmetic number, because the mean of its divisors is an integer number (1161286308).

Almost surely, 242243312330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42243312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55741742784).

42243312330 is an abundant number, since it is smaller than the sum of its proper divisors (69240173238).

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

42243312330 is a wasteful number, since it uses less digits than its factorization.

42243312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 42243312330 its reverse (3321334224), we get a palindrome (45564646554).

The spelling of 42243312330 in words is "forty-two billion, two hundred forty-three million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 1381 2130 2762 3195 4143 4787 6390 6905 8286 9574 12429 13810 14361 20715 23935 24858 28722 41430 43083 47870 62145 71805 86166 98051 124290 143610 196102 215415 294153 339877 430830 490255 588306 679754 882459 980510 1019631 1470765 1699385 1764918 2039262 2941530 3058893 3398770 4412295 5098155 6117786 6610847 8824590 10196310 13221694 15294465 19832541 30588930 33054235 39665082 59497623 66108470 99162705 118995246 198325410 297488115 469370137 594976230 938740274 1408110411 2346850685 2816220822 4224331233 4693701370 7040552055 8448662466 14081104110 21121656165 42243312330