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11442144040 = 2351129253369
BaseRepresentation
bin10101010100000000…
…10100001100101000
31002112102102010211121
422222000110030220
5141413142102130
65131220505024
7553355422345
oct125200241450
932472363747
1011442144040
114941879198
122273b4b174
131104703642
147a78c57cc
1546e7c9d7a
hex2aa014328

11442144040 has 32 divisors (see below), whose sum is σ = 25767729000. Its totient is φ = 4572785664.

The previous prime is 11442144011. The next prime is 11442144047. The reversal of 11442144040 is 4044124411.

It can be written as a sum of positive squares in 4 ways, for example, as 3504403204 + 7937740836 = 59198^2 + 89094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11442143996 and 11442144014.

It is not an unprimeable number, because it can be changed into a prime (11442144047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81525 + ... + 171844.

Almost surely, 211442144040 is an apocalyptic number.

11442144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442144040 is an abundant number, since it is smaller than the sum of its proper divisors (14325584960).

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

11442144040 is a wasteful number, since it uses less digits than its factorization.

11442144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254509 (or 254505 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 11442144040 its reverse (4044124411), we get a palindrome (15486268451).

The spelling of 11442144040 in words is "eleven billion, four hundred forty-two million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1129 2258 4516 5645 9032 11290 22580 45160 253369 506738 1013476 1266845 2026952 2533690 5067380 10134760 286053601 572107202 1144214404 1430268005 2288428808 2860536010 5721072020 11442144040