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154430215354441 = 13415323812295989
BaseRepresentation
bin100011000111010000010110…
…001000001111100001001001
3202020210101101020020220111001
4203013100112020033201021
5130220141040112320231
61304240132254135001
744346133462014055
oct4307202610174111
9666711336226431
10154430215354441
114522a539642234
12153a173a7b1461
136822925b69b20
142a1c6687c4c65
1512cc13e79ab61
hex8c741620f849

154430215354441 has 32 divisors (see below), whose sum is σ = 173653217811360. Its totient is φ = 136392707942400.

The previous prime is 154430215354427. The next prime is 154430215354477. The reversal of 154430215354441 is 144453512034451.

It can be written as a sum of positive squares in 16 ways, for example, as 123519995742025 + 30910219612416 = 11113955^2 + 5559696^2 .

It is not a de Polignac number, because 154430215354441 - 25 = 154430215354409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 154430215354391 and 154430215354400.

It is not an unprimeable number, because it can be changed into a prime (154430215354141) 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 31 ways as a sum of consecutive naturals, for example, 66112875 + ... + 68408863.

It is an arithmetic number, because the mean of its divisors is an integer number (5426663056605).

Almost surely, 2154430215354441 is an apocalyptic number.

It is an amenable number.

154430215354441 is a deficient number, since it is larger than the sum of its proper divisors (19223002456919).

154430215354441 is a wasteful number, since it uses less digits than its factorization.

154430215354441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298477.

The product of its (nonzero) digits is 2304000, while the sum is 46.

Adding to 154430215354441 its reverse (144453512034451), we get a palindrome (298883727388892).

The spelling of 154430215354441 in words is "one hundred fifty-four trillion, four hundred thirty billion, two hundred fifteen million, three hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 13 41 53 533 689 2173 2381 28249 30953 97621 126193 1269073 1640509 2295989 5173913 29847857 67260869 94135549 121687417 1223762137 1581936421 4989184097 5466749809 64859393261 71067747517 224136742169 289737739877 2913777648197 3766590618401 11879247334957 154430215354441