Search a number
-
+
305346530402045 = 5113173772944791
BaseRepresentation
bin100010101101101100000011…
…1011110100101111011111101
31111001010211202201011002000022
41011123120013132211323331
5310010244143240331140
63001230132021541525
7121213362450162446
oct10533300736457375
91431124681132008
10305346530402045
1189324811054000
122a2b62532748a5
131014c0922b4052
145558bcad282cd
152547b6d6d00b5
hex115b6077a5efd

305346530402045 has 64 divisors (see below), whose sum is σ = 438270984202752. Its totient is φ = 203358403353600.

The previous prime is 305346530402033. The next prime is 305346530402047. The reversal of 305346530402045 is 540204035643503.

It is a happy number.

It is not a de Polignac number, because 305346530402045 - 212 = 305346530397949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 305346530401987 and 305346530402005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305346530402047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32286401 + ... + 40658390.

It is an arithmetic number, because the mean of its divisors is an integer number (6847984128168).

Almost surely, 2305346530402045 is an apocalyptic number.

It is an amenable number.

305346530402045 is a deficient number, since it is larger than the sum of its proper divisors (132924453800707).

305346530402045 is a wasteful number, since it uses less digits than its factorization.

305346530402045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72944883 (or 72944861 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 44.

The spelling of 305346530402045 in words is "three hundred five trillion, three hundred forty-six billion, five hundred thirty million, four hundred two thousand, forty-five".

Divisors: 1 5 11 17 37 55 85 121 185 187 407 605 629 935 1331 2035 2057 3145 4477 6655 6919 10285 22385 22627 34595 49247 76109 113135 246235 380545 837199 4185995 72944791 364723955 802392701 1240061447 2698957267 4011963505 6200307235 8826319711 13494786335 13640675917 29688529937 44131598555 45882273539 68203379585 97089516821 148442649685 150047435087 229411367695 326573829307 485447584105 504705008929 750237175435 1632869146535 1650521785957 2523525044645 3592312122377 5551755098219 8252608929785 17961560611885 27758775491095 61069306080409 305346530402045