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345114541344 = 25315722897727
BaseRepresentation
bin1010000010110100110…
…11011111110100100000
31012222210121220011222210
411001122123133310200
521123243310310334
6422313214202120
733635155125366
oct5013233376440
91188717804883
10345114541344
111233a9185a11
1256a761b3340
132670c6a51a1
14129bcaa9636
158e9d1c55e9
hex505a6dfd20

345114541344 has 48 divisors (see below), whose sum is σ = 911695938048. Its totient is φ = 114305448192.

The previous prime is 345114541339. The next prime is 345114541363. The reversal of 345114541344 is 443145411543.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 11433792 + ... + 11463935.

It is an arithmetic number, because the mean of its divisors is an integer number (18993665376).

Almost surely, 2345114541344 is an apocalyptic number.

It is an amenable number.

345114541344 is an abundant number, since it is smaller than the sum of its proper divisors (566581396704).

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

345114541344 is a wasteful number, since it uses less digits than its factorization.

345114541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22897897 (or 22897889 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

Adding to 345114541344 its reverse (443145411543), we get a palindrome (788259952887).

The spelling of 345114541344 in words is "three hundred forty-five billion, one hundred fourteen million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 15072 22897727 45795454 68693181 91590908 137386362 183181816 274772724 366363632 549545448 732727264 1099090896 2198181792 3594943139 7189886278 10784829417 14379772556 21569658834 28759545112 43139317668 57519090224 86278635336 115038180448 172557270672 345114541344