Search a number
-
+
5541441456 = 2433137251401
BaseRepresentation
bin1010010100100101…
…11010111110110000
3112022012012101121110
411022102322332300
542322102111311
62313512153320
7254215321665
oct51222727660
915265171543
105541441456
112393aa9a91
1210a7998840
136a4093655
143a7d63a6c
152267588a6
hex14a4bafb0

5541441456 has 160 divisors (see below), whose sum is σ = 15275022336. Its totient is φ = 1728000000.

The previous prime is 5541441449. The next prime is 5541441541. The reversal of 5541441456 is 6541441455.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13818856 + ... + 13819256.

Almost surely, 25541441456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5541441456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637511168).

5541441456 is an abundant number, since it is smaller than the sum of its proper divisors (9733580880).

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

5541441456 is a wasteful number, since it uses less digits than its factorization.

5541441456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 5541441456 is about 74440.8587806455. The cubic root of 5541441456 is about 1769.5964964854.

Subtracting 5541441456 from its reverse (6541441455), we obtain a palindrome (999999999).

The spelling of 5541441456 in words is "five billion, five hundred forty-one million, four hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 251 296 372 401 444 496 502 592 744 753 802 888 1004 1147 1203 1488 1506 1604 1776 2008 2294 2406 3012 3208 3441 4016 4588 4812 6024 6416 6882 7781 9176 9287 9624 12048 12431 13764 14837 15562 18352 18574 19248 23343 24862 27528 27861 29674 31124 37148 37293 44511 46686 49724 55056 55722 59348 62248 74296 74586 89022 93372 99448 100651 111444 118696 124496 148592 149172 178044 186744 198896 201302 222888 237392 287897 298344 301953 356088 373488 402604 445776 459947 575794 596688 603906 712176 805208 863691 919894 1151588 1207812 1379841 1610416 1727382 1839788 2303176 2415624 2759682 3120181 3454764 3679576 3724087 4606352 4831248 5519364 6240362 6909528 7359152 7448174 9360543 11038728 11172261 12480724 13819056 14896348 18721086 22077456 22344522 24961448 29792696 37442172 44689044 49922896 59585392 74884344 89378088 115446697 149768688 178756176 230893394 346340091 461786788 692680182 923573576 1385360364 1847147152 2770720728 5541441456