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1142211444 = 2231125967199
BaseRepresentation
bin100010000010100…
…1100001101110100
32221121021100112120
41010011030031310
54314401231234
6305201315540
740206431343
oct10405141564
92847240476
101142211444
11536826400
1227a635bb0
1315283cc7a
14ab9a9b5a
156a423049
hex4414c374

1142211444 has 144 divisors (see below), whose sum is σ = 3038784000. Its totient is φ = 333495360.

The previous prime is 1142211443. The next prime is 1142211463. The reversal of 1142211444 is 4441122411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142211443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5739657 + ... + 5739855.

Almost surely, 21142211444 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 1142211444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519392000).

1142211444 is an abundant number, since it is smaller than the sum of its proper divisors (1896572556).

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

1142211444 is a wasteful number, since it uses less digits than its factorization.

1142211444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1142211444 is about 33796.6188249653. The cubic root of 1142211444 is about 1045.3189792628.

Adding to 1142211444 its reverse (4441122411), we get a palindrome (5583333855).

The spelling of 1142211444 in words is "one billion, one hundred forty-two million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 67 118 121 132 134 177 199 201 236 242 268 354 363 398 402 484 597 649 708 726 737 796 804 1194 1298 1452 1474 1947 2189 2211 2388 2596 2948 3894 3953 4378 4422 6567 7139 7788 7906 8107 8756 8844 11741 11859 13134 13333 14278 15812 16214 21417 23482 23718 24079 24321 26268 26666 28556 32428 35223 39999 42834 43483 46964 47436 48158 48642 53332 70446 72237 79998 85668 86966 96316 97284 129151 130449 140892 144474 146663 159996 173932 258302 260898 288948 293326 387453 439989 478313 516604 521796 586652 774906 786647 879978 956626 1420661 1434939 1549812 1573294 1613293 1759956 1913252 2359941 2841322 2869878 3146588 3226586 4261983 4719882 4839879 5682644 5739756 6453172 8523966 8653117 9439764 9679758 17047932 17306234 19359516 25959351 34612468 51918702 95184287 103837404 190368574 285552861 380737148 571105722 1142211444