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1141023444 = 2231129347859
BaseRepresentation
bin100010000000010…
…1010001011010100
32221112000222220120
41010000222023110
54314100222234
6305120031540
740163352651
oct10400521324
92845028816
101141023444
11536094890
1227a1625b0
13152515302
14ab77ac28
156a28b049
hex4402a2d4

1141023444 has 96 divisors (see below), whose sum is σ = 3016742400. Its totient is φ = 332492160.

The previous prime is 1141023439. The next prime is 1141023449. The reversal of 1141023444 is 4443201411.

It is an interprime number because it is at equal distance from previous prime (1141023439) and next prime (1141023449).

It is a super-2 number, since 2×11410234442 = 2603868999515242272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141023449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327887 + ... + 1328745.

It is an arithmetic number, because the mean of its divisors is an integer number (31424400).

Almost surely, 21141023444 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 1141023444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508371200).

1141023444 is an abundant number, since it is smaller than the sum of its proper divisors (1875718956).

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

1141023444 is a wasteful number, since it uses less digits than its factorization.

1141023444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1141023444 is about 33779.0385298339. The cubic root of 1141023444 is about 1044.9564457630.

Adding to 1141023444 its reverse (4443201411), we get a palindrome (5584224855).

The spelling of 1141023444 in words is "one billion, one hundred forty-one million, twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 347 348 638 694 859 957 1041 1276 1388 1718 1914 2082 2577 3436 3817 3828 4164 5154 7634 9449 10063 10308 11451 15268 18898 20126 22902 24911 28347 30189 37796 40252 45804 49822 56694 60378 74733 99644 110693 113388 120756 149466 221386 274021 298073 298932 332079 442772 548042 596146 664158 822063 894219 1096084 1192292 1328316 1644126 1788438 3278803 3288252 3576876 6557606 8644117 9836409 13115212 17288234 19672818 25932351 34576468 39345636 51864702 95085287 103729404 190170574 285255861 380341148 570511722 1141023444