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1144216044 = 22353493373
BaseRepresentation
bin100010000110011…
…0101100111101100
32221202001012100000
41010030311213230
54320404403134
6305312304300
740232450556
oct10414654754
92852035300
101144216044
115379754a4
1227b242090
1315309251a
14abd6c4d6
156a6bbe99
hex443359ec

1144216044 has 72 divisors (see below), whose sum is σ = 3008933200. Its totient is φ = 380199744.

The previous prime is 1144216039. The next prime is 1144216057. The reversal of 1144216044 is 4406124411.

1144216044 is a `hidden beast` number, since 1 + 14 + 42 + 1 + 604 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1144215999 and 1144216017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337542 + ... + 340914.

Almost surely, 21144216044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144216044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504466600).

1144216044 is an abundant number, since it is smaller than the sum of its proper divisors (1864717156).

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

1144216044 is a wasteful number, since it uses less digits than its factorization.

1144216044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1144216044 is about 33826.2626371877. The cubic root of 1144216044 is about 1045.9301392434.

The spelling of 1144216044 in words is "one billion, one hundred forty-four million, two hundred sixteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 349 486 698 972 1047 1396 2094 3141 3373 4188 6282 6746 9423 10119 12564 13492 18846 20238 28269 30357 37692 40476 56538 60714 84807 91071 113076 121428 169614 182142 273213 339228 364284 546426 819639 1092852 1177177 1639278 2354354 3278556 3531531 4708708 7063062 10594593 14126124 21189186 31783779 42378372 63567558 95351337 127135116 190702674 286054011 381405348 572108022 1144216044