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134435405412 = 223271148497621
BaseRepresentation
bin111110100110011111…
…0010111111001100100
3110212000000221012000100
41331030332113321210
54200310430433122
6141431521144100
712466302043320
oct1751476277144
9425000835010
10134435405412
1152017310940
122207a18b030
13c8a5a82c89
14671459c980
15376c442aac
hex1f4cf97e64

134435405412 has 72 divisors (see below), whose sum is σ = 423675225792. Its totient is φ = 34918286400.

The previous prime is 134435405393. The next prime is 134435405417. The reversal of 134435405412 is 214504534431.

134435405412 is a `hidden beast` number, since 1 + 3 + 44 + 35 + 40 + 541 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134435405417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24246039 + ... + 24251582.

It is an arithmetic number, because the mean of its divisors is an integer number (5884378136).

Almost surely, 2134435405412 is an apocalyptic number.

134435405412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134435405412 is an abundant number, since it is smaller than the sum of its proper divisors (289239820380).

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

134435405412 is a wasteful number, since it uses less digits than its factorization.

134435405412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48497649 (or 48497644 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 134435405412 its reverse (214504534431), we get a palindrome (348939939843).

The spelling of 134435405412 in words is "one hundred thirty-four billion, four hundred thirty-five million, four hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 48497621 96995242 145492863 193990484 290985726 339483347 436478589 533473831 581971452 678966694 872957178 1018450041 1066947662 1357933388 1600421493 1745914356 2036900082 2133895324 3055350123 3200842986 3734316817 4073800164 4801264479 6110700246 6401685972 7468633634 9602528958 11202950451 12221400492 14937267268 19205057916 22405900902 33608851353 44811801804 67217702706 134435405412