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544133242331445 = 3513319869021141
BaseRepresentation
bin111101110111000101110010…
…0100111101010000100110101
32122100121122000020011002212210
41323232023210213222010311
51032310034340014101240
65205135205521404033
7222420220666250334
oct17356134447520465
92570548006132783
10544133242331445
111484176808541a8
1251040801a99619
131a48071059c000
149852291bc7d1b
1542d924ade9780
hex1eee2e49ea135

544133242331445 has 64 divisors (see below), whose sum is σ = 992769752620800. Its totient is φ = 253781981556480.

The previous prime is 544133242331333. The next prime is 544133242331477.

It is a happy number.

544133242331445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 544133242331445 - 222 = 544133238137141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 544133242331394 and 544133242331403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433884426 + ... + 435136715.

It is an arithmetic number, because the mean of its divisors is an integer number (15512027384700).

Almost surely, 2544133242331445 is an apocalyptic number.

It is an amenable number.

544133242331445 is a deficient number, since it is larger than the sum of its proper divisors (448636510289355).

544133242331445 is a wasteful number, since it uses less digits than its factorization.

544133242331445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869021207 (or 869021181 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 544133242331445 in words is "five hundred forty-four trillion, one hundred thirty-three billion, two hundred forty-two million, three hundred thirty-one thousand, four hundred forty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 169 195 247 285 507 741 845 1235 2197 2535 3211 3705 6591 9633 10985 16055 32955 41743 48165 125229 208715 626145 869021141 2607063423 4345105705 11297274833 13035317115 16511401679 33891824499 49534205037 56486374165 82557008395 146864572829 169459122495 214648221827 247671025185 440593718487 643944665481 734322864145 1073241109135 1909239446777 2202968592435 2790426883751 3219723327405 5727718340331 8371280651253 9546197233885 13952134418755 28638591701655 36275549488763 41856403256265 108826648466289 181377747443815 544133242331445