Search a number
-
+
1010453040400 = 245214957168893
BaseRepresentation
bin11101011010000111011…
…00011100110100010000
310120121011012122220012111
432231003230130310100
5113023401434243100
62052110135235104
7133000653062326
oct16550354346420
93517135586174
101010453040400
1135a592442961
121439ba818a94
1374392aa884b
1436c98819d16
151b43e2b36ba
hexeb43b1cd10

1010453040400 has 60 divisors (see below), whose sum is σ = 2427790110372. Its totient is φ = 404151800320.

The previous prime is 1010453040367. The next prime is 1010453040403. The reversal of 1010453040400 is 40403540101.

It can be written as a sum of positive squares in 6 ways, for example, as 358700375056 + 651752665344 = 598916^2 + 807312^2 .

It is not an unprimeable number, because it can be changed into a prime (1010453040403) 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, 5898354 + ... + 6067246.

Almost surely, 21010453040400 is an apocalyptic number.

1010453040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010453040400 is an abundant number, since it is smaller than the sum of its proper divisors (1417337069972).

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

1010453040400 is a wasteful number, since it uses less digits than its factorization.

1010453040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183868 (or 183857 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1010453040400 its reverse (40403540101), we get a palindrome (1050856580501).

The spelling of 1010453040400 in words is "one trillion, ten billion, four hundred fifty-three million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 14957 29914 59828 74785 119656 149570 168893 239312 299140 337786 373925 598280 675572 747850 844465 1196560 1351144 1495700 1688930 2702288 2991400 3377860 4222325 5982800 6755720 8444650 13511440 16889300 33778600 67557200 2526132601 5052265202 10104530404 12630663005 20209060808 25261326010 40418121616 50522652020 63153315025 101045304040 126306630050 202090608080 252613260100 505226520200 1010453040400