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5322313403040 = 253597111419313
BaseRepresentation
bin100110101110011001010…
…0110011000101010100000
3200211210211011122110210010
41031130302212120222200
51144200044212344130
615153011555204520
71056344613324624
oct115346246305240
920753734573703
105322313403040
1117721a9188817
1271b5bbba6740
132c7b7995642a
1414585c12b184
15936a3cb90b0
hex4d732998aa0

5322313403040 has 96 divisors (see below), whose sum is σ = 16782554690496. Its totient is φ = 1417821777920.

The previous prime is 5322313403039. The next prime is 5322313403047. The reversal of 5322313403040 is 403043132235.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5322313402989 and 5322313403007.

It is not an unprimeable number, because it can be changed into a prime (5322313403047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5243577 + ... + 6175736.

It is an arithmetic number, because the mean of its divisors is an integer number (174818278026).

Almost surely, 25322313403040 is an apocalyptic number.

It is an amenable number.

5322313403040 is an abundant number, since it is smaller than the sum of its proper divisors (11460241287456).

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

5322313403040 is a wasteful number, since it uses less digits than its factorization.

5322313403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420302 (or 11420294 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 5322313403040 its reverse (403043132235), we get a palindrome (5725356535275).

The spelling of 5322313403040 in words is "five trillion, three hundred twenty-two billion, three hundred thirteen million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 971 1942 2913 3884 4855 5826 7768 9710 11652 14565 15536 19420 23304 29130 31072 38840 46608 58260 77680 93216 116520 155360 233040 466080 11419313 22838626 34257939 45677252 57096565 68515878 91354504 114193130 137031756 171289695 182709008 228386260 274063512 342579390 365418016 456772520 548127024 685158780 913545040 1096254048 1370317560 1827090080 2740635120 5481270240 11088152923 22176305846 33264458769 44352611692 55440764615 66528917538 88705223384 110881529230 133057835076 166322293845 177410446768 221763058460 266115670152 332644587690 354820893536 443526116920 532231340304 665289175380 887052233840 1064462680608 1330578350760 1774104467680 2661156701520 5322313403040