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1142514114 = 2373159107139
BaseRepresentation
bin100010000011001…
…0110000111000010
32221121211201201120
41010012112013002
54314440422424
6305212013110
740212131640
oct10406260702
92847751646
101142514114
11536a12845
1227a761196
13152917971
14aba48190
156a482a79
hex441961c2

1142514114 has 128 divisors (see below), whose sum is σ = 2786918400. Its totient is φ = 305432640.

The previous prime is 1142514101. The next prime is 1142514119. The reversal of 1142514114 is 4114152411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1142514119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8219457 + ... + 8219595.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 21142514114 is an apocalyptic number.

1142514114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142514114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393459200).

1142514114 is an abundant number, since it is smaller than the sum of its proper divisors (1644404286).

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

1142514114 is a wasteful number, since it uses less digits than its factorization.

1142514114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its digits is 640, while the sum is 24.

The square root of 1142514114 is about 33801.0963431661. The cubic root of 1142514114 is about 1045.4113027274.

Adding to 1142514114 its reverse (4114152411), we get a palindrome (5256666525).

The spelling of 1142514114 in words is "one billion, one hundred forty-two million, five hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 59 62 93 107 118 139 177 186 214 217 278 321 354 413 417 434 642 651 749 826 834 973 1239 1302 1498 1829 1946 2247 2478 2919 3317 3658 4309 4494 5487 5838 6313 6634 8201 8618 9951 10974 12626 12803 12927 14873 16402 18939 19902 23219 24603 25606 25854 29746 30163 37878 38409 44191 44619 46438 49206 57407 60326 69657 76818 88382 89238 90489 104111 114814 132573 139314 172221 180978 195703 208222 254231 265146 312333 344442 391406 461063 508462 587109 624666 762693 877507 922126 1174218 1369921 1383189 1525386 1755014 1779617 2632521 2739842 2766378 3227441 3559234 4109763 5265042 5338851 6142549 6454882 8219526 9682323 10677702 12285098 18427647 19364646 27202717 36855294 54405434 81608151 163216302 190419019 380838038 571257057 1142514114