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134033413014 = 2341816437109
BaseRepresentation
bin111110011010100000…
…0111001001110010110
3110210222000111212010000
41330311000321032112
54144000023204024
6141324001112130
712453321132654
oct1746500711626
9423860455100
10134033413014
1151930405016
1221b87628646
13c8406c4857
1466b7039dd4
153746ed8cc9
hex1f35039396

134033413014 has 80 divisors (see below), whose sum is σ = 302505643440. Its totient is φ = 44355625920.

The previous prime is 134033412991. The next prime is 134033413039. The reversal of 134033413014 is 410314330431.

134033413014 is a `hidden beast` number, since 13 + 4 + 0 + 3 + 341 + 301 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18850492 + ... + 18857600.

It is an arithmetic number, because the mean of its divisors is an integer number (3781320543).

Almost surely, 2134033413014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134033413014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151252821720).

134033413014 is an abundant number, since it is smaller than the sum of its proper divisors (168472230426).

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

134033413014 is a wasteful number, since it uses less digits than its factorization.

134033413014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947 (or 7938 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 134033413014 its reverse (410314330431), we get a palindrome (544347743445).

The spelling of 134033413014 in words is "one hundred thirty-four billion, thirty-three million, four hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 362 543 643 1086 1286 1629 1929 3258 3858 4887 5787 7109 9774 11574 14218 14661 17361 21327 29322 34722 42654 52083 63981 104166 116383 127962 191943 232766 349149 383886 575829 698298 1047447 1151658 1286729 2094894 2573458 3142341 3860187 4571087 6284682 7720374 9142174 9427023 11580561 13713261 18854046 23161122 27426522 34741683 41139783 69483366 82279566 104225049 123419349 208450098 246838698 370258047 740516094 827366747 1654733494 2482100241 4964200482 7446300723 14892601446 22338902169 44677804338 67016706507 134033413014