Search a number
-
+
544714417445 = 51123599192729
BaseRepresentation
bin1111110110100111000…
…00100110010100100101
31221002000002021110200112
413323103200212110211
532411033342324240
61054123252222405
754232350103412
oct7732340462445
91832002243615
10544714417445
111a00150a7100
128969b90aa05
133c49bb3b553
141c515993109
15e28145e665
hex7ed3826525

544714417445 has 48 divisors (see below), whose sum is σ = 721532448000. Its totient is φ = 394477966080.

The previous prime is 544714417439. The next prime is 544714417477.

544714417445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 544714417445 - 26 = 544714417381 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 544714417393 and 544714417402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199600841 + ... + 199603569.

It is an arithmetic number, because the mean of its divisors is an integer number (15031926000).

Almost surely, 2544714417445 is an apocalyptic number.

544714417445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

544714417445 is a deficient number, since it is larger than the sum of its proper divisors (176818030555).

544714417445 is a wasteful number, since it uses less digits than its factorization.

544714417445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4023 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 50.

The spelling of 544714417445 in words is "five hundred forty-four billion, seven hundred fourteen million, four hundred seventeen thousand, four hundred forty-five".

Divisors: 1 5 11 55 121 359 605 919 1795 2729 3949 4595 10109 13645 19745 30019 43439 50545 111199 150095 217195 329921 330209 555995 979711 1649605 1651045 2507951 3629131 4898555 10776821 12539755 18145655 27587461 39920441 53884105 118545031 137937305 199602205 303462071 592725155 900354409 1517310355 4501772045 9903898499 49519492495 108942883489 544714417445