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544413314445 = 357211135179709
BaseRepresentation
bin1111110110000011000…
…11111110110110001101
31221001020002200212000120
413323001203332312031
532404424302030240
61054033334415153
754222032551200
oct7730143766615
91831202625016
10544413314445
1119a980139a50
1289616b014b9
133c4516456b0
141c4c79b3937
15e264cd3ad0
hex7ec18fed8d

544413314445 has 96 divisors (see below), whose sum is σ = 1190421671040. Its totient is φ = 208845826560.

The previous prime is 544413314411. The next prime is 544413314449.

544413314445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 544413314445 - 28 = 544413314189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 544413314397 and 544413314406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544413314449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2484750 + ... + 2694959.

It is an arithmetic number, because the mean of its divisors is an integer number (12400225740).

Almost surely, 2544413314445 is an apocalyptic number.

544413314445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

544413314445 is an abundant number, since it is smaller than the sum of its proper divisors (646008356595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

544413314445 is a wasteful number, since it uses less digits than its factorization.

544413314445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179755 (or 5179748 counting only the distinct ones).

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

It can be divided in two parts, 544413 and 314445, that added together give a palindrome (858858).

The spelling of 544413314445 in words is "five hundred forty-four billion, four hundred thirteen million, three hundred fourteen thousand, four hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 49 55 65 77 91 105 143 147 165 195 231 245 273 385 429 455 539 637 715 735 1001 1155 1365 1617 1911 2145 2695 3003 3185 5005 7007 8085 9555 15015 21021 35035 105105 5179709 15539127 25898545 36257963 56976799 67336217 77695635 108773889 170930397 181289815 202008651 253805741 284883995 336681085 398837593 471353519 543869445 740698387 761417223 854651985 1010043255 1196512779 1269028705 1414060557 1994187965 2222095161 2356767595 2791863151 3299474633 3703491935 3807086115 5184888709 5982563895 7070302785 8375589453 9898423899 11110475805 13959315755 15554666127 16497373165 25924443545 36294220963 41877947265 49492119495 77773330635 108882662889 181471104815 544413314445