Search a number
-
+
1063141504032 = 25343257543969
BaseRepresentation
bin11110111100010000010…
…10111111010000100000
310202122011011022011121110
433132020022333100200
5114404303211112112
62132222300023320
7136544431452426
oct17361012772040
93678134264543
101063141504032
1137a96a732483
12152063b31b40
137933b82304a
1439656219116
151c9c4bb013c
hexf7882bf420

1063141504032 has 48 divisors (see below), whose sum is σ = 2855647539360. Its totient is φ = 346139092992.

The previous prime is 1063141504003. The next prime is 1063141504039. The reversal of 1063141504032 is 2304051413601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10631415040322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1063141504039) 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 7 ways as a sum of consecutive naturals, for example, 128767857 + ... + 128776112.

It is an arithmetic number, because the mean of its divisors is an integer number (59492657070).

Almost surely, 21063141504032 is an apocalyptic number.

1063141504032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1063141504032 is an abundant number, since it is smaller than the sum of its proper divisors (1792506035328).

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

1063141504032 is a wasteful number, since it uses less digits than its factorization.

1063141504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257544025 (or 257544017 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1063141504032 its reverse (2304051413601), we get a palindrome (3367192917633).

The spelling of 1063141504032 in words is "one trillion, sixty-three billion, one hundred forty-one million, five hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 257543969 515087938 772631907 1030175876 1545263814 2060351752 3090527628 4120703504 6181055256 8241407008 11074390667 12362110512 22148781334 24724221024 33223172001 44297562668 66446344002 88595125336 132892688004 177190250672 265785376008 354380501344 531570752016 1063141504032