Search a number
-
+
114142330302 = 237111337513641
BaseRepresentation
bin110101001001101101…
…0011011110110111110
3101220121202221011021220
41222103122123312332
53332230414032202
6124234122134210
711150360541120
oct1522332336676
9356552834256
10114142330302
1144453408190
121a156051366
13a9c0763520
14574b3c7210
152e80ad4abc
hex1a9369bdbe

114142330302 has 128 divisors (see below), whose sum is σ = 314792690688. Its totient is φ = 26627097600.

The previous prime is 114142330301. The next prime is 114142330303. The reversal of 114142330302 is 203033241411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114142330301) and next prime (114142330303).

It is a super-2 number, since 2×1141423303022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114142330301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34599 + ... + 479042.

It is an arithmetic number, because the mean of its divisors is an integer number (2459317896).

Almost surely, 2114142330302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114142330302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157396345344).

114142330302 is an abundant number, since it is smaller than the sum of its proper divisors (200650360386).

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

114142330302 is a wasteful number, since it uses less digits than its factorization.

114142330302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513714.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114142330302 its reverse (203033241411), we get a palindrome (317175571713).

It can be divided in two parts, 114142 and 330302, that added together give a palindrome (444444).

The spelling of 114142330302 in words is "one hundred fourteen billion, one hundred forty-two million, three hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 513641 1027282 1540923 3081846 3595487 5650051 6677333 7190974 10786461 11300102 13354666 16950153 19004717 20031999 21572922 33900306 38009434 39550357 40063998 46741331 57014151 73450663 79100714 93482662 114028302 118651071 133033019 140223993 146901326 209051887 220351989 237302142 247061321 266066038 280447986 399099057 418103774 440703978 494122642 514154641 627155661 741183963 798198114 1028309282 1254311322 1463363209 1482367926 1542463923 1729429247 2717674531 2926726418 3084927846 3458858494 4390089627 5188287741 5435349062 8153023593 8780179254 10376575482 16306047186 19023721717 38047443434 57071165151 114142330302