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1144422342 = 232726189239
BaseRepresentation
bin100010000110110…
…0111111111000110
32221202102200022200
41010031213333012
54320433003332
6305320535330
740234300200
oct10415477706
92852380280
101144422342
11537aa6498
1227b321546
131531353ab
14abdc3770
156a70d17c
hex44367fc6

1144422342 has 144 divisors (see below), whose sum is σ = 2977041600. Its totient is φ = 316673280.

The previous prime is 1144422311. The next prime is 1144422379. The reversal of 1144422342 is 2432244411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4788259 + ... + 4788497.

It is an arithmetic number, because the mean of its divisors is an integer number (20673900).

Almost surely, 21144422342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144422342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488520800).

1144422342 is an abundant number, since it is smaller than the sum of its proper divisors (1832619258).

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

1144422342 is a wasteful number, since it uses less digits than its factorization.

1144422342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1144422342 is about 33829.3118759457. The cubic root of 1144422342 is about 1045.9929946020.

Adding to 1144422342 its reverse (2432244411), we get a palindrome (3576666753).

The spelling of 1144422342 in words is "one billion, one hundred forty-four million, four hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 89 98 122 126 147 178 183 239 267 294 366 427 441 478 534 549 623 717 801 854 882 1098 1246 1281 1434 1602 1673 1869 2151 2562 2989 3346 3738 3843 4302 4361 5019 5429 5607 5978 7686 8722 8967 10038 10858 11214 11711 13083 14579 15057 16287 17934 21271 23422 26166 26901 29158 30114 32574 35133 38003 39249 42542 43737 48861 53802 63813 70266 76006 78498 87474 97722 102053 105399 114009 127626 131211 148897 191439 204106 210798 228018 262422 266021 297794 306159 342027 382878 446691 532042 612318 684054 714371 798063 893382 918477 1042279 1297531 1340073 1428742 1596126 1836954 2084558 2143113 2394189 2595062 2680146 3126837 3892593 4286226 4788378 6253674 6429339 7785186 9082717 9380511 11677779 12858678 18165434 18761022 23355558 27248151 54496302 63579019 81744453 127158038 163488906 190737057 381474114 572211171 1144422342