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422130140000244 = 2232131376583850209
BaseRepresentation
bin101111111111011001101010…
…1000010110010111111110100
32001100122020200020221110121200
41133332303111002302333310
5420312140011320001434
64053443524214012500
7154625616250140534
oct13776632502627764
92040566606843550
10422130140000244
1111255a429135925
123b417795947130
1315170916c77b50
1476352ca2654c4
1533c089125c199
hex17fecd50b2ff4

422130140000244 has 72 divisors (see below), whose sum is σ = 1157519873120520. Its totient is φ = 128938122473472.

The previous prime is 422130140000237. The next prime is 422130140000273. The reversal of 422130140000244 is 442000041031224.

422130140000244 is a `hidden beast` number, since 4 + 2 + 2 + 13 + 0 + 1 + 400 + 0 + 0 + 244 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6437576668644 + 415692563331600 = 2537238^2 + 20388540^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3291860989 + ... + 3291989220.

Almost surely, 2422130140000244 is an apocalyptic number.

It is an amenable number.

422130140000244 is an abundant number, since it is smaller than the sum of its proper divisors (735389733120276).

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

422130140000244 is a wasteful number, since it uses less digits than its factorization.

422130140000244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583850369 (or 6583850364 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 422130140000244 its reverse (442000041031224), we get a palindrome (864130181031468).

The spelling of 422130140000244 in words is "four hundred twenty-two trillion, one hundred thirty billion, one hundred forty million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 411 468 548 822 1233 1644 1781 2466 3562 4932 5343 7124 10686 16029 21372 32058 64116 6583850209 13167700418 19751550627 26335400836 39503101254 59254651881 79006202508 85590052717 118509303762 171180105434 237018607524 256770158151 342360210868 513540316302 770310474453 901987478633 1027080632604 1540620948906 1803974957266 2705962435899 3081241897812 3607949914532 5411924871798 8117887307697 10823849743596 11725837222229 16235774615394 23451674444458 32471549230788 35177511666687 46903348888916 70355023333374 105532535000061 140710046666748 211065070000122 422130140000244