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145313210113065 = 32550313034926973
BaseRepresentation
bin100001000010100101011110…
…010001010001110000101001
3201001111210210110102222011100
4201002211132101101300221
5123021302423242104230
61233015544523152013
742415350545056011
oct4102453621216051
9631453713388140
10145313210113065
1142334a9388a515
121436a810075609
136310c913906c7
1427c52a83d6c41
1511bede3ec4660
hex84295e451c29

145313210113065 has 48 divisors (see below), whose sum is σ = 252570719261952. Its totient is φ = 77286926570112.

The previous prime is 145313210113007. The next prime is 145313210113069. The reversal of 145313210113065 is 560311012313541.

145313210113065 is a `hidden beast` number, since 1 + 4 + 5 + 313 + 21 + 0 + 11 + 306 + 5 = 666.

It is not a de Polignac number, because 145313210113065 - 237 = 145175771159593 is a prime.

It is a super-2 number, since 2×1453132101130652 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145313210113069) 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 47 ways as a sum of consecutive naturals, for example, 27029919 + ... + 31956891.

It is an arithmetic number, because the mean of its divisors is an integer number (5261889984624).

Almost surely, 2145313210113065 is an apocalyptic number.

145313210113065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145313210113065 is a deficient number, since it is larger than the sum of its proper divisors (107257509148887).

145313210113065 is a wasteful number, since it uses less digits than its factorization.

145313210113065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928790 (or 4928787 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 145313210113065 in words is "one hundred forty-five trillion, three hundred thirteen billion, two hundred ten million, one hundred thirteen thousand, sixty-five".

Divisors: 1 3 5 9 15 45 503 1303 1509 2515 3909 4527 6515 7545 11727 19545 22635 58635 655409 1966227 3277045 4926973 5898681 9831135 14780919 24634865 29493405 44342757 73904595 221713785 2478267419 6419845819 7434802257 12391337095 19259537457 22304406771 32099229095 37174011285 57778612371 96297687285 111522033855 288893061855 3229182446957 9687547340871 16145912234785 29062642022613 48437736704355 145313210113065