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114300343410 = 235117918124223
BaseRepresentation
bin110101001110011010…
…1001101010001110010
3101221000210021001112020
41222130311031101302
53333041341442120
6124301525012310
711154316613541
oct1523465152162
9357023231466
10114300343410
1144524622830
121a19ab54096
13aa174097c6
14576439a158
152e8e8e8640
hex1a9cd4d472

114300343410 has 128 divisors (see below), whose sum is σ = 304734044160. Its totient is φ = 27206150400.

The previous prime is 114300343363. The next prime is 114300343429. The reversal of 114300343410 is 14343003411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4706559 + ... + 4730781.

It is an arithmetic number, because the mean of its divisors is an integer number (2380734720).

Almost surely, 2114300343410 is an apocalyptic number.

114300343410 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 114300343410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152367022080).

114300343410 is an abundant number, since it is smaller than the sum of its proper divisors (190433700750).

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

114300343410 is a wasteful number, since it uses less digits than its factorization.

114300343410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24504.

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

Adding to 114300343410 its reverse (14343003411), we get a palindrome (128643346821).

The spelling of 114300343410 in words is "one hundred fourteen billion, three hundred million, three hundred forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 181 237 330 362 395 474 543 790 869 905 1086 1185 1738 1810 1991 2370 2607 2715 3982 4345 5214 5430 5973 8690 9955 11946 13035 14299 19910 24223 26070 28598 29865 42897 48446 59730 71495 72669 85794 121115 142990 145338 157289 214485 242230 266453 314578 363345 428970 471867 532906 726690 786445 799359 943734 1332265 1572890 1598718 1913617 2359335 2664530 3827234 3996795 4384363 4718670 5740851 7993590 8768726 9568085 11481702 13153089 19136170 21049787 21921815 26306178 28704255 42099574 43843630 48227993 57408510 63149361 65765445 96455986 105248935 126298722 131530890 144683979 210497870 241139965 289367958 315746805 346364677 482279930 631493610 692729354 723419895 1039094031 1446839790 1731823385 2078188062 3463646770 3810011447 5195470155 7620022894 10390940310 11430034341 19050057235 22860068682 38100114470 57150171705 114300343410