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431383012240 = 24531208983267
BaseRepresentation
bin1100100011100000110…
…11100110001110010000
31112020110211020120111111
412101300123212032100
524031433022342430
6530101415023104
743111034050345
oct6216033461620
91466424216444
10431383012240
11156a48511a54
126b73136aa94
13318aa3b487b
1416c4417a7cc
15b34bb5dc2a
hex64706e6390

431383012240 has 80 divisors (see below), whose sum is σ = 1035827274240. Its totient is φ = 166905031680.

The previous prime is 431383012237. The next prime is 431383012283. The reversal of 431383012240 is 42210383134.

It is a happy number.

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 (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5139087 + ... + 5222353.

It is an arithmetic number, because the mean of its divisors is an integer number (12947840928).

Almost surely, 2431383012240 is an apocalyptic number.

431383012240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431383012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517913637120).

431383012240 is an abundant number, since it is smaller than the sum of its proper divisors (604444262000).

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

431383012240 is a wasteful number, since it uses less digits than its factorization.

431383012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85400 (or 85394 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 431383012240 its reverse (42210383134), we get a palindrome (473593395374).

The spelling of 431383012240 in words is "four hundred thirty-one billion, three hundred eighty-three million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2089 2480 4178 8356 10445 16712 20890 33424 41780 64759 83267 83560 129518 166534 167120 259036 323795 333068 416335 518072 647590 666136 832670 1036144 1295180 1332272 1665340 2581277 2590360 3330680 5162554 5180720 6661360 10325108 12906385 20650216 25812770 41300432 51625540 103251080 173944763 206502160 347889526 695779052 869723815 1391558104 1739447630 2783116208 3478895260 5392287653 6957790520 10784575306 13915581040 21569150612 26961438265 43138301224 53922876530 86276602448 107845753060 215691506120 431383012240