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544431134445 = 351137237737517
BaseRepresentation
bin1111110110000101001…
…11111101011011101101
31221001021100020012110120
413323002213331123231
532404443332300240
61054035212355153
754222340200432
oct7730247753355
91831240205416
10544431134445
1119a98a200420
1289620a75ab9
133c455244783
141c4ca0d1b89
15e266653ad0
hex7ec29fd6ed

544431134445 has 64 divisors (see below), whose sum is σ = 976399646976. Its totient is φ = 256717486080.

The previous prime is 544431134441. The next prime is 544431134449.

544431134445 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (544431134441) and next prime (544431134449).

It is not a de Polignac number, because 544431134445 - 22 = 544431134441 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 544431134397 and 544431134406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544431134441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14492827 + ... + 14530343.

It is an arithmetic number, because the mean of its divisors is an integer number (15256244484).

Almost surely, 2544431134445 is an apocalyptic number.

544431134445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

544431134445 is a deficient number, since it is larger than the sum of its proper divisors (431968512531).

544431134445 is a wasteful number, since it uses less digits than its factorization.

544431134445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39950.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 544431 and 134445, that added together give a palindrome (678876).

The spelling of 544431134445 in words is "five hundred forty-four billion, four hundred thirty-one million, one hundred thirty-four thousand, four hundred forty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 407 555 1221 2035 2377 6105 7131 11885 26147 35655 37517 78441 87949 112551 130735 187585 263847 392205 412687 439745 562755 967439 1238061 1319235 1388129 2063435 2902317 4164387 4837195 6190305 6940645 14511585 15269419 20821935 45808257 76347095 89177909 229041285 267533727 445889545 980956999 1337668635 2942870997 3299582633 4904784995 9898747899 14714354985 16497913165 36295408963 49493739495 108886226889 181477044815 544431134445