Search a number
-
+
1046303500340 = 225722893336901
BaseRepresentation
bin11110011100111001000…
…11000110100000110100
310201000200200121221212002
433032130203012200310
5114120312144002330
62120355403114432
7135410243003600
oct17163443064064
93630620557762
101046303500340
1137380a05a04a
1214a944b12a18
137788726bc57
14388d9c68500
151c33b836e45
hexf39c8c6834

1046303500340 has 72 divisors (see below), whose sum is σ = 2556127588392. Its totient is φ = 358710508800.

The previous prime is 1046303500321. The next prime is 1046303500381. The reversal of 1046303500340 is 430053036401.

It can be written as a sum of positive squares in 4 ways, for example, as 159112996 + 1046144387344 = 12614^2 + 1022812^2 .

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 23 ways as a sum of consecutive naturals, for example, 28335890 + ... + 28372790.

It is an arithmetic number, because the mean of its divisors is an integer number (35501772061).

Almost surely, 21046303500340 is an apocalyptic number.

1046303500340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1046303500340 is an abundant number, since it is smaller than the sum of its proper divisors (1509824088052).

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

1046303500340 is a wasteful number, since it uses less digits than its factorization.

1046303500340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65857 (or 65848 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 1046303500340 its reverse (430053036401), we get a palindrome (1476356536741).

The spelling of 1046303500340 in words is "one trillion, forty-six billion, three hundred three million, five hundred thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 28933 36901 57866 73802 115732 144665 147604 184505 202531 258307 289330 369010 405062 516614 578660 738020 810124 1012655 1033228 1291535 1417717 1808149 2025310 2583070 2835434 3616298 4050620 5166140 5670868 7088585 7232596 9040745 14177170 18081490 28354340 36162980 1067656633 2135313266 4270626532 5338283165 7473596431 10676566330 14947192862 21353132660 29894385724 37367982155 52315175017 74735964310 104630350034 149471928620 209260700068 261575875085 523151750170 1046303500340