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344545202545443 = 33120165927161167
BaseRepresentation
bin100111001010111001010111…
…0011010000010001100100011
31200011221012101120100020112000
41032111302232122002030203
5330130012033322423233
63220441514141135043
7132400366211653224
oct11625625632021443
91604835346306460
10344545202545443
119a867888620029
123278720325a483
1311a3361c792983
14611211098924b
1529c7628765d13
hex1395cae682323

344545202545443 has 32 divisors (see below), whose sum is σ = 510873266104320. Its totient is φ = 229500641865600.

The previous prime is 344545202545441. The next prime is 344545202545567.

344545202545443 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 4 + 52 + 0 + 2 + 545 + 4 + 43 = 666.

344545202545443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344545202545443 - 21 = 344545202545441 is a prime.

It is a super-2 number, since 2×3445452025454432 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 344545202545443.

It is not an unprimeable number, because it can be changed into a prime (344545202545441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2137734246 + ... + 2137895412.

It is an arithmetic number, because the mean of its divisors is an integer number (15964789565760).

Almost surely, 2344545202545443 is an apocalyptic number.

344545202545443 is a deficient number, since it is larger than the sum of its proper divisors (166328063558877).

344545202545443 is a wasteful number, since it uses less digits than its factorization.

344545202545443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228304 (or 228298 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 54.

It can be divided in two parts, 34454520 and 2545443, that added together give a palindrome (36999963).

The spelling of 344545202545443 in words is "three hundred forty-four trillion, five hundred forty-five billion, two hundred two million, five hundred forty-five thousand, four hundred forty-three".

Divisors: 1 3 9 27 1201 3603 10809 32427 65927 161167 197781 483501 593343 1450503 1780029 4351509 79178327 193561567 237534981 580684701 712604943 1742054103 2137814829 5226162309 10625256809 31875770427 95627311281 286881933843 12760933427609 38282800282827 114848400848481 344545202545443