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146031600201345 = 345712950578181
BaseRepresentation
bin100001001101000010100001…
…101001111110111010000001
3201011001111002022010122110000
4201031002201221332322001
5123120040204122420340
61234325554020030213
742521302121055165
oct4115024151767201
9634044068118400
10146031600201345
1142591721306681
1214465a9b532369
13636394a80bb91
14280bd77c6cca5
1511d393c7dbd30
hex84d0a1a7ee81

146031600201345 has 40 divisors (see below), whose sum is σ = 261811889741160. Its totient is φ = 77872593680640.

The previous prime is 146031600201341. The next prime is 146031600201413. The reversal of 146031600201345 is 543102006130641.

146031600201345 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 3 + 1 + 600 + 2 + 0 + 1 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11276278172289 + 134755322029056 = 3358017^2 + 11608416^2 .

It is not a de Polignac number, because 146031600201345 - 22 = 146031600201341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146031600201341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22401846 + ... + 28176335.

It is an arithmetic number, because the mean of its divisors is an integer number (6545297243529).

Almost surely, 2146031600201345 is an apocalyptic number.

146031600201345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146031600201345 is a deficient number, since it is larger than the sum of its proper divisors (115780289539815).

146031600201345 is an equidigital number, since it uses as much as digits as its factorization.

146031600201345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50585327 (or 50585318 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 146031600201345 its reverse (543102006130641), we get a palindrome (689133606331986).

The spelling of 146031600201345 in words is "one hundred forty-six trillion, thirty-one billion, six hundred million, two hundred one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 7129 21387 35645 64161 106935 192483 320805 577449 962415 2887245 50578181 151734543 252890905 455203629 758672715 1365610887 2276018145 4096832661 6828054435 20484163305 360571852349 1081715557047 1802859261745 3245146671141 5408577785235 9735440013423 16225733355705 29206320040269 48677200067115 146031600201345