Search a number
-
+
114063144510 = 235710310694933
BaseRepresentation
bin110101000111010110…
…0010111011000111110
3101220102020221002210210
41222032230113120332
53332100131111020
6124222213013250
711145406505550
oct1521654273076
9356366832723
10114063144510
1144412742787
121a133624226
13a9aa229923
145740a934d0
152e78b923e0
hex1a8eb1763e

114063144510 has 128 divisors (see below), whose sum is σ = 316255979520. Its totient is φ = 25789072896.

The previous prime is 114063144497. The next prime is 114063144511. The reversal of 114063144510 is 15441360411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114063144511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23120004 + ... + 23124936.

It is an arithmetic number, because the mean of its divisors is an integer number (2470749840).

Almost surely, 2114063144510 is an apocalyptic number.

114063144510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114063144510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158127989760).

114063144510 is an abundant number, since it is smaller than the sum of its proper divisors (202192835010).

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

114063144510 is a wasteful number, since it uses less digits than its factorization.

114063144510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122.

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

The spelling of 114063144510 in words is "one hundred fourteen billion, sixty-three million, one hundred forty-four thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1069 1442 1545 2138 2163 3090 3207 3605 4326 4933 5345 6414 7210 7483 9866 10690 10815 14799 14966 16035 21630 22449 24665 29598 32070 34531 37415 44898 49330 69062 73995 74830 103593 110107 112245 147990 172655 207186 220214 224490 330321 345310 508099 517965 550535 660642 770749 1016198 1035930 1101070 1524297 1541498 1651605 2312247 2540495 3048594 3303210 3556693 3853745 4624494 5080990 5273377 7113386 7621485 7707490 10546754 10670079 11561235 15242970 15820131 17783465 21340158 23122470 26366885 31640262 35566930 36913639 52733770 53350395 73827278 79100655 106700790 110740917 158201310 184568195 221481834 369136390 543157831 553704585 1086315662 1107409170 1629473493 2715789155 3258946986 3802104817 5431578310 7604209634 8147367465 11406314451 16294734930 19010524085 22812628902 38021048170 57031572255 114063144510