Search a number
-
+
468300238343 = 71277393113327
BaseRepresentation
bin1101101000010001101…
…11101000111000000111
31122202202122111222012222
412310020313220320013
530133034330111333
6555044551202555
745555626230220
oct6641067507007
91582678458188
10468300238343
11170672304373
127691497645b
1335211890a62
1418947156247
15c2acba1298
hex6d08de8e07

468300238343 has 16 divisors (see below), whose sum is σ = 535795835904. Its totient is φ = 400953754080.

The previous prime is 468300238327. The next prime is 468300238381. The reversal of 468300238343 is 343832003864.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 468300238343 - 24 = 468300238327 is a prime.

It is a super-4 number, since 4×4683002383434 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 468300238294 and 468300238303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468300232343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35132546 + ... + 35145872.

It is an arithmetic number, because the mean of its divisors is an integer number (33487239744).

Almost surely, 2468300238343 is an apocalyptic number.

468300238343 is a deficient number, since it is larger than the sum of its proper divisors (67495597561).

468300238343 is a wasteful number, since it uses less digits than its factorization.

468300238343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18542.

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 468300238343 in words is "four hundred sixty-eight billion, three hundred million, two hundred thirty-eight thousand, three hundred forty-three".

Divisors: 1 7 1277 3931 8939 13327 27517 93289 5019887 17018579 35139209 52388437 119130053 366719059 66900034049 468300238343