Search a number
-
+
431322130320 = 24355413332011
BaseRepresentation
bin1100100011011001100…
…11010110011110010000
31112020022120200110012120
412101230303112132100
524031321431132240
6530051402054240
743106364421134
oct6215463263620
91466276613176
10431322130320
11156a17109514
126b714aaa380
133189a8b9373
1416c3a04d3c4
15b346634ad0
hex646ccd6790

431322130320 has 80 divisors (see below), whose sum is σ = 1337349648192. Its totient is φ = 114997639680.

The previous prime is 431322130297. The next prime is 431322130333. The reversal of 431322130320 is 23031223134.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1133115 + ... + 1465125.

Almost surely, 2431322130320 is an apocalyptic number.

431322130320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431322130320 is an abundant number, since it is smaller than the sum of its proper divisors (906027517872).

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

431322130320 is a wasteful number, since it uses less digits than its factorization.

431322130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337440 (or 337434 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 431322130320 its reverse (23031223134), we get a palindrome (454353353454).

The spelling of 431322130320 in words is "four hundred thirty-one billion, three hundred twenty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5413 10826 16239 21652 27065 32478 43304 54130 64956 81195 86608 108260 129912 162390 216520 259824 324780 332011 433040 649560 664022 996033 1299120 1328044 1660055 1992066 2656088 3320110 3984132 4980165 5312176 6640220 7968264 9960330 13280440 15936528 19920660 26560880 39841320 79682640 1797175543 3594351086 5391526629 7188702172 8985877715 10783053258 14377404344 17971755430 21566106516 26957633145 28754808688 35943510860 43132213032 53915266290 71887021720 86264426064 107830532580 143774043440 215661065160 431322130320