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1144408754 = 217533132029
BaseRepresentation
bin100010000110110…
…0100101010110010
32221202101222200102
41010031210222302
54320432040004
6305320352402
740234212446
oct10415445262
92852358612
101144408754
11537a97265
1227b315702
1315312c158
14abdbc826
156a70911e
hex44364ab2

1144408754 has 32 divisors (see below), whose sum is σ = 1858716720. Its totient is φ = 526436352.

The previous prime is 1144408753. The next prime is 1144408757. The reversal of 1144408754 is 4578044411.

It can be written as a sum of positive squares in 8 ways, for example, as 854217529 + 290191225 = 29227^2 + 17035^2 .

It is a super-3 number, since 3×11444087543 (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1144408753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563012 + ... + 565040.

Almost surely, 21144408754 is an apocalyptic number.

1144408754 is a deficient number, since it is larger than the sum of its proper divisors (714307966).

1144408754 is a wasteful number, since it uses less digits than its factorization.

1144408754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414.

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 1144408754 is about 33829.1110435968. Note that the first 3 decimals coincide. The cubic root of 1144408754 is about 1045.9888548107.

The spelling of 1144408754 in words is "one billion, one hundred forty-four million, four hundred eight thousand, seven hundred fifty-four".

Divisors: 1 2 17 34 53 106 313 626 901 1802 2029 4058 5321 10642 16589 33178 34493 68986 107537 215074 282013 564026 635077 1270154 1828129 3656258 10796309 21592618 33659081 67318162 572204377 1144408754