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1144354116 = 2231719241379
BaseRepresentation
bin100010000110101…
…0111010101000100
32221202022012201210
41010031113111010
54320423312431
6305315251420
740233564243
oct10415272504
92852265653
101144354116
11537a5a204
1227b2a9b70
13153110319
14abda695a
156a6e7d46
hex44357544

1144354116 has 144 divisors (see below), whose sum is σ = 3064703040. Its totient is φ = 330946560.

The previous prime is 1144354109. The next prime is 1144354163. The reversal of 1144354116 is 6114534411.

It is a super-2 number, since 2×11443541162 = 2619092685612282912, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3019215 + ... + 3019593.

It is an arithmetic number, because the mean of its divisors is an integer number (21282660).

Almost surely, 21144354116 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 1144354116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532351520).

1144354116 is an abundant number, since it is smaller than the sum of its proper divisors (1920348924).

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

1144354116 is a wasteful number, since it uses less digits than its factorization.

1144354116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 461 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 1144354116 is about 33828.3034750488. The cubic root of 1144354116 is about 1045.9722081803.

Adding to 1144354116 its reverse (6114534411), we get a palindrome (7258888527).

The spelling of 1144354116 in words is "one billion, one hundred forty-four million, three hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 19 34 38 41 51 57 68 76 82 102 114 123 164 204 228 246 323 361 379 492 646 697 722 758 779 969 1083 1137 1292 1394 1444 1516 1558 1938 2091 2166 2274 2337 2788 3116 3876 4182 4332 4548 4674 6137 6443 7201 8364 9348 12274 12886 13243 14402 14801 15539 18411 19329 21603 24548 25772 26486 28804 29602 31078 36822 38658 39729 43206 44403 46617 52972 59204 62156 73644 77316 79458 86412 88806 93234 122417 136819 158916 177612 186468 244834 251617 264163 273638 295241 367251 410457 489668 503234 528326 547276 590482 734502 754851 792489 820914 885723 1006468 1056652 1180964 1469004 1509702 1584978 1641828 1771446 2325923 3019404 3169956 3542892 4651846 5019097 5609579 6977769 9303692 10038194 11219158 13955538 15057291 16828737 20076388 22438316 27911076 30114582 33657474 60229164 67314948 95362843 190725686 286088529 381451372 572177058 1144354116