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1144020001024 = 284468828129
BaseRepresentation
bin10000101001011100111…
…001111110000100000000
311001100220201110111221001
4100221130321332010000
5122220423110013044
62233315554541344
7145436611363645
oct20513471760400
94040821414831
101144020001024
114011a351432a
12165875b97854
1383b5a962c64
143d529913dcc
151eb5a35e2d4
hex10a5ce7e100

1144020001024 has 18 divisors (see below), whose sum is σ = 2283571174430. Its totient is φ = 572010000384.

The previous prime is 1144020001021. The next prime is 1144020001049. The reversal of 1144020001024 is 4201000204411.

It can be written as a sum of positive squares in only one way, i.e., 1092777529600 + 51242471424 = 1045360^2 + 226368^2 .

It is a super-2 number, since 2×11440200010242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1144020000992 and 1144020001010.

It is not an unprimeable number, because it can be changed into a prime (1144020001021) by changing a digit.

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 as a sum of consecutive naturals, namely, 2234413809 + ... + 2234414320.

Almost surely, 21144020001024 is an apocalyptic number.

It is an amenable number.

1144020001024 is a deficient number, since it is larger than the sum of its proper divisors (1139551173406).

1144020001024 is an frugal number, since it uses more digits than its factorization.

1144020001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468828145 (or 4468828131 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1144020001024 its reverse (4201000204411), we get a palindrome (5345020205435).

The spelling of 1144020001024 in words is "one trillion, one hundred forty-four billion, twenty million, one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 4468828129 8937656258 17875312516 35750625032 71501250064 143002500128 286005000256 572010000512 1144020001024