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305342545144 = 237133131340021
BaseRepresentation
bin1000111000101111101…
…01010111110011111000
31002012010211212102220111
410130113311113303320
520000320142421034
6352134502234104
731026446544610
oct4342765276370
91065124772814
10305342545144
111085499a756a
124b216725934
1322a41933420
1410ac88cda40
157e2172a364
hex4717d57cf8

305342545144 has 64 divisors (see below), whose sum is σ = 706888405440. Its totient is φ = 120408837120.

The previous prime is 305342545139. The next prime is 305342545153. The reversal of 305342545144 is 441545243503.

It is a junction number, because it is equal to n+sod(n) for n = 305342545097 and 305342545106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 442147 + ... + 897874.

It is an arithmetic number, because the mean of its divisors is an integer number (11045131335).

Almost surely, 2305342545144 is an apocalyptic number.

It is an amenable number.

305342545144 is an abundant number, since it is smaller than the sum of its proper divisors (401545860296).

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

305342545144 is a wasteful number, since it uses less digits than its factorization.

305342545144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340360 (or 1340356 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 305342545144 its reverse (441545243503), we get a palindrome (746887788647).

The spelling of 305342545144 in words is "three hundred five billion, three hundred forty-two million, five hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 313 364 626 728 1252 2191 2504 4069 4382 8138 8764 16276 17528 28483 32552 56966 113932 227864 1340021 2680042 5360084 9380147 10720168 17420273 18760294 34840546 37520588 69681092 75041176 121941911 139362184 243883822 419426573 487767644 838853146 975535288 1677706292 2935986011 3355412584 5452545449 5871972022 10905090898 11743944044 21810181796 23487888088 38167818143 43620363592 76335636286 152671272572 305342545144