Search a number
-
+
1004553324340 = 225172173798153
BaseRepresentation
bin11101001111001000000…
…10110100011100110100
310120000221001022021020021
432213210002310130310
5112424311122334330
62045252504014524
7132401524241056
oct16474402643464
93500831267207
101004553324340
11358035187965
12142832a61444
13739627228b7
14368990738d6
151b1e638967a
hexe9e40b4734

1004553324340 has 36 divisors (see below), whose sum is σ = 2240953397676. Its totient is φ = 378184778752.

The previous prime is 1004553324337. The next prime is 1004553324349. The reversal of 1004553324340 is 434233554001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 90869690916 + 913683633424 = 301446^2 + 955868^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1004553324296 and 1004553324305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004553324349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 86893297 + ... + 86904856.

It is an arithmetic number, because the mean of its divisors is an integer number (62248705491).

Almost surely, 21004553324340 is an apocalyptic number.

1004553324340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004553324340 is an abundant number, since it is smaller than the sum of its proper divisors (1236400073336).

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

1004553324340 is a wasteful number, since it uses less digits than its factorization.

1004553324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173798196 (or 173798177 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 1004553324340 its reverse (434233554001), we get a palindrome (1438786878341).

The spelling of 1004553324340 in words is "one trillion, four billion, five hundred fifty-three million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 173798153 347596306 695192612 868990765 1737981530 2954568601 3475963060 5909137202 11818274404 14772843005 29545686010 50227666217 59091372020 100455332434 200910664868 251138331085 502276662170 1004553324340