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1144450404 = 223317237991
BaseRepresentation
bin100010000110110…
…1110110101100100
32221202111002211000
41010031232311210
54320434403104
6305321313300
740234445046
oct10415566544
92852432730
101144450404
11538015589
1227b335830
131531450b6
14abdcda96
156a716639
hex4436ed64

1144450404 has 144 divisors (see below), whose sum is σ = 3240348160. Its totient is φ = 348986880.

The previous prime is 1144450381. The next prime is 1144450451. The reversal of 1144450404 is 4040544411.

1144450404 is a `hidden beast` number, since 114 + 44 + 504 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154349 + ... + 1155339.

Almost surely, 21144450404 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 1144450404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620174080).

1144450404 is an abundant number, since it is smaller than the sum of its proper divisors (2095897756).

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

1144450404 is a wasteful number, since it uses less digits than its factorization.

1144450404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1144450404 is about 33829.7266320613. The cubic root of 1144450404 is about 1046.0015440144.

Adding to 1144450404 its reverse (4040544411), we get a palindrome (5184994815).

The spelling of 1144450404 in words is "one billion, one hundred forty-four million, four hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 102 108 111 148 153 204 222 289 306 333 444 459 578 612 629 666 867 918 991 999 1156 1258 1332 1734 1836 1887 1982 1998 2516 2601 2973 3468 3774 3964 3996 5202 5661 5946 7548 7803 8919 10404 10693 11322 11892 15606 16847 16983 17838 21386 22644 26757 31212 32079 33694 33966 35676 36667 42772 50541 53514 64158 67388 67932 73334 96237 101082 107028 110001 128316 146668 151623 192474 202164 220002 286399 288711 303246 330003 384948 440004 454869 572798 577422 606492 623339 660006 859197 909738 990009 1145596 1154844 1246678 1320012 1718394 1819476 1870017 1980018 2493356 2577591 3436788 3740034 3960036 5155182 5610051 7480068 7732773 10310364 10596763 11220102 15465546 16830153 21193526 22440204 30931092 31790289 33660306 42387052 63580578 67320612 95370867 127161156 190741734 286112601 381483468 572225202 1144450404