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51023034414 = 232114111355621
BaseRepresentation
bin101111100001001101…
…011011100000101110
311212200212211201000100
4233201031123200232
51313443344100124
635234544411530
73454253431242
oct574115334056
9155625751010
1051023034414
111a703199a40
129a7b616ba6
134a719b3531
142680556422
1514d95c61c9
hexbe135b82e

51023034414 has 96 divisors (see below), whose sum is σ = 124636887648. Its totient is φ = 14950656000.

The previous prime is 51023034401. The next prime is 51023034451. The reversal of 51023034414 is 41443032015.

It is a happy number.

51023034414 is a `hidden beast` number, since 5 + 10 + 230 + 3 + 4 + 414 = 666.

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 47 ways as a sum of consecutive naturals, for example, 889524 + ... + 945144.

It is an arithmetic number, because the mean of its divisors is an integer number (1298300913).

Almost surely, 251023034414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51023034414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62318443824).

51023034414 is an abundant number, since it is smaller than the sum of its proper divisors (73613853234).

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

51023034414 is a wasteful number, since it uses less digits than its factorization.

51023034414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55794 (or 55791 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 51023034414 its reverse (41443032015), we get a palindrome (92466066429).

It can be divided in two parts, 510230 and 34414, that added together give a square (544644 = 7382).

The spelling of 51023034414 in words is "fifty-one billion, twenty-three million, thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 113 123 198 226 246 339 369 451 678 738 902 1017 1243 1353 2034 2486 2706 3729 4059 4633 7458 8118 9266 11187 13899 22374 27798 41697 50963 55621 83394 101926 111242 152889 166863 305778 333726 458667 500589 611831 917334 1001178 1223662 1835493 2280461 3670986 4560922 5506479 6285173 6841383 11012958 12570346 13682766 18855519 20524149 25085071 37711038 41048298 50170142 56566557 69136903 75255213 113133114 138273806 150510426 207410709 225765639 257692093 414821418 451531278 515384186 622232127 773076279 1244464254 1546152558 2319228837 2834613023 4638457674 5669226046 8503839069 17007678138 25511517207 51023034414