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5430311544 = 2337179359503
BaseRepresentation
bin1010000111010101…
…11111101001111000
3112000110002102000210
411003222333221320
542110124432134
62254502231120
7251365613040
oct50352775170
915013072023
105430311544
1123372a6489
1210767254a0
13687053bc8
143972b6720
1521bb062e9
hex143abfa78

5430311544 has 128 divisors (see below), whose sum is σ = 15676416000. Its totient is φ = 1535493504.

The previous prime is 5430311507. The next prime is 5430311597. The reversal of 5430311544 is 4451130345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10795597 + ... + 10796099.

It is an arithmetic number, because the mean of its divisors is an integer number (122472000).

Almost surely, 25430311544 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 5430311544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208000).

5430311544 is an abundant number, since it is smaller than the sum of its proper divisors (10246104456).

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

5430311544 is a wasteful number, since it uses less digits than its factorization.

5430311544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5430311544 is about 73690.6476019854. The cubic root of 5430311544 is about 1757.6871677679.

Adding to 5430311544 its reverse (4451130345), we get a palindrome (9881441889).

The spelling of 5430311544 in words is "five billion, four hundred thirty million, three hundred eleven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 359 503 537 716 718 1006 1074 1077 1253 1432 1436 1509 2012 2148 2154 2506 2513 2872 3018 3521 3759 4024 4296 4308 5012 5026 6036 7042 7518 7539 8616 10024 10052 10563 12072 14084 15036 15078 20104 21126 28168 30072 30156 42252 60312 64261 84504 90037 128522 180074 180577 192783 257044 270111 360148 361154 385566 449827 514088 540222 541731 630259 720296 722308 771132 899654 1080444 1083462 1260518 1264039 1349481 1444616 1542264 1799308 1890777 2160888 2166924 2521036 2528078 2698962 3598616 3781554 3792117 4333848 5042072 5056156 5397924 7563108 7584234 10112312 10795848 15126216 15168468 30336936 32323283 64646566 96969849 129293132 193939698 226262981 258586264 387879396 452525962 678788943 775758792 905051924 1357577886 1810103848 2715155772 5430311544