Search a number
-
+
1000314241430 = 257191275922173
BaseRepresentation
bin11101000111001110110…
…00000000000110010110
310112121222121201112200112
432203213120000012112
5112342120421211210
62043312113443022
7132161501521550
oct16434730000626
93477877645615
101000314241430
1135625a347159
12141a4b270472
137343841190a
14365b60864d0
151b049139d05
hexe8e7600196

1000314241430 has 64 divisors (see below), whose sum is σ = 2183150223360. Its totient is φ = 322355666304.

The previous prime is 1000314241321. The next prime is 1000314241477. The reversal of 1000314241430 is 341424130001.

It is a junction number, because it is equal to n+sod(n) for n = 1000314241396 and 1000314241405.

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, 2792177 + ... + 3129996.

It is an arithmetic number, because the mean of its divisors is an integer number (34111722240).

Almost surely, 21000314241430 is an apocalyptic number.

1000314241430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000314241430 is an abundant number, since it is smaller than the sum of its proper divisors (1182835981930).

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

1000314241430 is a wasteful number, since it uses less digits than its factorization.

1000314241430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922333.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1000314241430 its reverse (341424130001), we get a palindrome (1341738371431).

The spelling of 1000314241430 in words is "one trillion, three hundred fourteen million, two hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 127 133 190 254 266 635 665 889 1270 1330 1778 2413 4445 4826 8890 12065 16891 24130 33782 84455 168910 5922173 11844346 29610865 41455211 59221730 82910422 112521287 207276055 225042574 414552110 562606435 752115971 787649009 1125212870 1504231942 1575298018 3760579855 3938245045 5264811797 7521159710 7876490090 10529623594 14290203449 26324058985 28580406898 52648117970 71451017245 100031424143 142902034490 200062848286 500157120715 1000314241430