Search a number
-
+
5430522512240 = 245717570433037
BaseRepresentation
bin100111100000110010001…
…0111011000001101110000
3201020011010110011202211022
41033001210113120031300
51202433202230342430
615314425252035012
71100225260510250
oct117014427301560
921204113152738
105430522512240
111804087426091
1273857b002a68
13305133102527
1414aba5529960
15963d8a574e5
hex4f0645d8370

5430522512240 has 80 divisors (see below), whose sum is σ = 15278478489792. Its totient is φ = 1752370286592.

The previous prime is 5430522512227. The next prime is 5430522512249. The reversal of 5430522512240 is 422152250345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×54305225122403 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5430522512240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430522512249) 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, 285206999 + ... + 285226038.

Almost surely, 25430522512240 is an apocalyptic number.

It is an amenable number.

5430522512240 is an abundant number, since it is smaller than the sum of its proper divisors (9847955977552).

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

5430522512240 is a wasteful number, since it uses less digits than its factorization.

5430522512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570433074 (or 570433068 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 5430522512240 its reverse (422152250345), we get a palindrome (5852674762585).

The spelling of 5430522512240 in words is "five trillion, four hundred thirty billion, five hundred twenty-two million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 570433037 1140866074 2281732148 2852165185 3993031259 4563464296 5704330370 7986062518 9126928592 9697361629 11408660740 15972125036 19394723258 19965156295 22817321480 31944250072 38789446516 39930312590 45634642960 48486808145 63888500144 67881531403 77578893032 79860625180 96973616290 135763062806 155157786064 159721250360 193947232580 271526125612 319442500720 339407657015 387894465160 543052251224 678815314030 775788930320 1086104502448 1357630628060 2715261256120 5430522512240