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431403201340 = 225291079717159
BaseRepresentation
bin1100100011100011010…
…00100111001100111100
31112020112020020021201221
412101301220213030330
524032003204420330
6530103415443124
743111400464606
oct6216150471474
91466466207657
10431403201340
11156a58951361
126b7380864a4
13318b1633097
1416c46b14176
15b34d7eab7a
hex6471a2733c

431403201340 has 96 divisors (see below), whose sum is σ = 947051481600. Its totient is φ = 164860765440.

The previous prime is 431403201301. The next prime is 431403201377. The reversal of 431403201340 is 43102304134.

It is a super-2 number, since 2×4314032013402 (a number of 24 digits) contains 22 as substring.

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, 60256681 + ... + 60263839.

It is an arithmetic number, because the mean of its divisors is an integer number (9865119600).

Almost surely, 2431403201340 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 431403201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473525740800).

431403201340 is an abundant number, since it is smaller than the sum of its proper divisors (515648280260).

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

431403201340 is a wasteful number, since it uses less digits than its factorization.

431403201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 431403201340 its reverse (43102304134), we get a palindrome (474505505474).

The spelling of 431403201340 in words is "four hundred thirty-one billion, four hundred three million, two hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 107 116 145 214 290 428 535 580 971 1070 1942 2140 3103 3884 4855 6206 7159 9710 12412 14318 15515 19420 28159 28636 31030 35795 56318 62060 71590 103897 112636 140795 143180 207611 207794 281590 415222 415588 519485 563180 766013 830444 1038055 1038970 1532026 2076110 2077940 3013013 3064052 3830065 4152220 6026026 6951389 7660130 12052052 13902778 15065065 15320260 22214377 27805556 30130130 34756945 44428754 60260260 69513890 88857508 111071885 139027780 201590281 222143770 403180562 444287540 743798623 806361124 1007951405 1487597246 2015902810 2975194492 3718993115 4031805620 7437986230 14875972460 21570160067 43140320134 86280640268 107850800335 215701600670 431403201340