Search a number
-
+
431344132440 = 2335131914552771
BaseRepresentation
bin1100100011011100001…
…11010010000101011000
31112020101010002021102220
412101232013102011120
524031343044214230
6530053505424040
743110052426224
oct6215607220530
91466333067386
10431344132440
11156a28576a91
126b72033b020
13318a2320b80
1416c3cd39784
15b34852dd10
hex646e1d2158

431344132440 has 128 divisors (see below), whose sum is σ = 1466919417600. Its totient is φ = 100588746240.

The previous prime is 431344132397. The next prime is 431344132463. The reversal of 431344132440 is 44231443134.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7246746 + ... + 7306025.

It is an arithmetic number, because the mean of its divisors is an integer number (11460307950).

Almost surely, 2431344132440 is an apocalyptic number.

431344132440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431344132440 is an abundant number, since it is smaller than the sum of its proper divisors (1035575285160).

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

431344132440 is a wasteful number, since it uses less digits than its factorization.

431344132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14552817 (or 14552813 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 431344132440 its reverse (44231443134), we get a palindrome (475575575574).

The spelling of 431344132440 in words is "four hundred thirty-one billion, three hundred forty-four million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 14552771 29105542 43658313 58211084 72763855 87316626 116422168 145527710 174633252 189186023 218291565 276502649 291055420 349266504 378372046 436583130 553005298 567558069 582110840 756744092 829507947 873166260 945930115 1106010596 1135116138 1382513245 1513488184 1659015894 1746332520 1891860230 2212021192 2270232276 2765026490 2837790345 3318031788 3594534437 3783720460 4147539735 4540464552 5530052980 5675580690 6636063576 7189068874 7567440920 8295079470 10783603311 11060105960 11351161380 14378137748 16590158940 17972672185 21567206622 22702322760 28756275496 33180317880 35945344370 43134413244 53918016555 71890688740 86268826488 107836033110 143781377480 215672066220 431344132440