Search a number
-
+
5405144440 = 2352389251263
BaseRepresentation
bin1010000100010101…
…11111010101111000
3111221200201210020211
411002022333111320
542032204110230
62252203000504
7250641653413
oct50212772570
914850653224
105405144440
112324077023
12106a209134
13681a81927
14393c04b7a
152197d442a
hex1422bf578

5405144440 has 128 divisors (see below), whose sum is σ = 12933043200. Its totient is φ = 2028928000.

The previous prime is 5405144401. The next prime is 5405144449. The reversal of 5405144440 is 444415045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5405144449) by changing a digit.

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, 20551749 + ... + 20552011.

It is an arithmetic number, because the mean of its divisors is an integer number (101039400).

Almost surely, 25405144440 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 5405144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466521600).

5405144440 is an abundant number, since it is smaller than the sum of its proper divisors (7527898760).

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

5405144440 is a wasteful number, since it uses less digits than its factorization.

5405144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The square root of 5405144440 is about 73519.6874313269. The cubic root of 5405144440 is about 1754.9675932794.

Adding to 5405144440 its reverse (444415045), we get a palindrome (5849559485).

The spelling of 5405144440 in words is "five billion, four hundred five million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 178 184 230 251 263 356 445 460 502 526 712 890 920 1004 1052 1255 1315 1780 2008 2047 2104 2510 2630 3560 4094 5020 5260 5773 6049 8188 10040 10235 10520 11546 12098 16376 20470 22339 23092 23407 24196 28865 30245 40940 44678 46184 46814 48392 57730 60490 66013 81880 89356 93628 111695 115460 117035 120980 132026 178712 187256 223390 230920 234070 241960 264052 330065 446780 468140 513797 528104 538361 660130 893560 936280 1027594 1076722 1320260 1518299 2055188 2153444 2568985 2640520 2691805 3036598 4110376 4306888 5137970 5383610 5875157 6073196 7591495 10275940 10767220 11750314 12146392 15182990 20551880 21534440 23500628 29375785 30365980 47001256 58751570 60731960 117503140 135128611 235006280 270257222 540514444 675643055 1081028888 1351286110 2702572220 5405144440