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5404305144 = 2337319291117
BaseRepresentation
bin1010000100001111…
…10010011011111000
3111221122011010221210
411002013302123320
542032000231034
62252133003120
7250631556450
oct50207623370
914848133853
105404305144
112323653497
121069a834a0
136818498c4
14393a66d60
152196ba8e9
hex1421f26f8

5404305144 has 128 divisors (see below), whose sum is σ = 15970406400. Its totient is φ = 1491333120.

The previous prime is 5404305139. The next prime is 5404305149. The reversal of 5404305144 is 4415034045.

It is an interprime number because it is at equal distance from previous prime (5404305139) and next prime (5404305149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5404305149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4837674 + ... + 4838790.

It is an arithmetic number, because the mean of its divisors is an integer number (124768800).

Almost surely, 25404305144 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 5404305144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985203200).

5404305144 is an abundant number, since it is smaller than the sum of its proper divisors (10566101256).

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

5404305144 is a wasteful number, since it uses less digits than its factorization.

5404305144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5404305144 is about 73513.9792420462. The cubic root of 5404305144 is about 1754.8767530596.

Adding to 5404305144 its reverse (4415034045), we get a palindrome (9819339189).

The spelling of 5404305144 in words is "five billion, four hundred four million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 929 1117 1302 1736 1858 2234 2604 2787 3351 3716 4468 5208 5574 6503 6702 7432 7819 8936 11148 13006 13404 15638 19509 22296 23457 26012 26808 28799 31276 34627 39018 46914 52024 57598 62552 69254 78036 86397 93828 103881 115196 138508 156072 172794 187656 201593 207762 230392 242389 277016 345588 403186 415524 484778 604779 691176 727167 806372 831048 969556 1037693 1209558 1454334 1612744 1939112 2075386 2419116 2908668 3113079 4150772 4838232 5817336 6226158 7263851 8301544 12452316 14527702 21791553 24904632 29055404 32168483 43583106 58110808 64336966 87166212 96505449 128673932 174332424 193010898 225179381 257347864 386021796 450358762 675538143 772043592 900717524 1351076286 1801435048 2702152572 5404305144