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434321241142212 = 223373157350884999
BaseRepresentation
bin110001011000000110100101…
…1010010111111001111000100
32002221210201001001112102121000
41202300031023102333033010
5423411404400213022322
64135420231304453300
7160324450145105544
oct14260151322771704
92087721031472530
10434321241142212
1111642a6709910a6
1240866448a7a230
1315846418159b18
14793739011b324
153532a5b2533ac
hex18b034b4bf3c4

434321241142212 has 96 divisors (see below), whose sum is σ = 1148713277600000. Its totient is φ = 141881050711296.

The previous prime is 434321241142207. The next prime is 434321241142309. The reversal of 434321241142212 is 212241142123434.

434321241142212 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 2 + 12 + 411 + 4 + 221 + 2 = 666.

It is a super-2 number, since 2×4343212411422122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174204712 + ... + 176680287.

Almost surely, 2434321241142212 is an apocalyptic number.

It is an amenable number.

434321241142212 is an abundant number, since it is smaller than the sum of its proper divisors (714392036457788).

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

434321241142212 is a wasteful number, since it uses less digits than its factorization.

434321241142212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350885242 (or 350885234 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 434321241142212 its reverse (212241142123434), we get a palindrome (646562383265646).

The spelling of 434321241142212 in words is "four hundred thirty-four trillion, three hundred twenty-one billion, two hundred forty-one million, one hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 157 219 292 314 438 471 628 657 876 942 1314 1413 1884 1971 2628 2826 3942 4239 5652 7884 8478 11461 16956 22922 34383 45844 68766 103149 137532 206298 309447 412596 618894 1237788 350884999 701769998 1052654997 1403539996 2105309994 3157964991 4210619988 6315929982 9473894973 12631859964 18947789946 25614604927 37895579892 51229209854 55088944843 76843814781 102458419708 110177889686 153687629562 165266834529 220355779372 230531444343 307375259124 330533669058 461062888686 495800503587 661067338116 691594333029 922125777372 991601007174 1383188666058 1487401510761 1983202014348 2766377332116 2974803021522 4021492973539 5949606043044 8042985947078 12064478920617 16085971894156 24128957841234 36193436761851 48257915682468 72386873523702 108580310285553 144773747047404 217160620571106 434321241142212