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42432111330 = 23571136132917
BaseRepresentation
bin100111100001001001…
…101010001011100010
311001112011111121000220
4213201021222023202
51143400110030310
631254255223510
73031335665250
oct474111521342
9131464447026
1042432111330
1116aa4903304
128282517b96
134002c021ab
1420a75c95d0
1511852a2670
hex9e126a2e2

42432111330 has 128 divisors (see below), whose sum is σ = 117647036928. Its totient is φ = 9593966592.

The previous prime is 42432111311. The next prime is 42432111383. The reversal of 42432111330 is 3311123424.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42432111330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14545032 + ... + 14547948.

It is an arithmetic number, because the mean of its divisors is an integer number (919117476).

Almost surely, 242432111330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42432111330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58823518464).

42432111330 is an abundant number, since it is smaller than the sum of its proper divisors (75214925598).

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

42432111330 is a wasteful number, since it uses less digits than its factorization.

42432111330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42432111330 its reverse (3311123424), we get a palindrome (45743234754).

The spelling of 42432111330 in words is "forty-two billion, four hundred thirty-two million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 613 678 791 1130 1226 1582 1695 1839 2373 2917 3065 3390 3678 3955 4291 4746 5834 6130 7910 8582 8751 9195 11865 12873 14585 17502 18390 20419 21455 23730 25746 29170 40838 42910 43755 61257 64365 69269 87510 102095 122514 128730 138538 204190 207807 306285 329621 346345 415614 484883 612570 659242 692690 969766 988863 1039035 1454649 1648105 1788121 1977726 2078070 2307347 2424415 2909298 3296210 3576242 4614694 4848830 4944315 5364363 6922041 7273245 8940605 9888630 10728726 11536735 12516847 13844082 14546490 17881210 23073470 25033694 26821815 34610205 37550541 53643630 62584235 69220410 75101082 125168470 187752705 202057673 375505410 404115346 606173019 1010288365 1212346038 1414403711 2020576730 2828807422 3030865095 4243211133 6061730190 7072018555 8486422266 14144037110 21216055665 42432111330