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114343213424 = 2411411011511039
BaseRepresentation
bin110101001111101100…
…0101111100101110000
3101221010202221002010112
41222133120233211300
53333133330312144
6124310055520452
711155350164156
oct1523730574560
9357122832115
10114343213424
11445468436a0
121a1b1389128
13aa2326978b
145769d593d6
152e9356599e
hex1a9f62f970

114343213424 has 160 divisors (see below), whose sum is σ = 251923875840. Its totient is φ = 49824000000.

The previous prime is 114343213417. The next prime is 114343213427. The reversal of 114343213424 is 424312343411.

114343213424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1143432134242 (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 (114343213427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110050697 + ... + 110051735.

It is an arithmetic number, because the mean of its divisors is an integer number (1574524224).

Almost surely, 2114343213424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114343213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125961937920).

114343213424 is an abundant number, since it is smaller than the sum of its proper divisors (137580662416).

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

114343213424 is a wasteful number, since it uses less digits than its factorization.

114343213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 114343213424 its reverse (424312343411), we get a palindrome (538655556835).

The spelling of 114343213424 in words is "one hundred fourteen billion, three hundred forty-three million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 101 151 164 176 202 302 328 404 451 604 656 808 902 1039 1111 1208 1616 1661 1804 2078 2222 2416 3322 3608 4141 4156 4444 6191 6644 7216 8282 8312 8888 11429 12382 13288 15251 16564 16624 17776 22858 24764 26576 30502 33128 42599 45551 45716 49528 61004 66256 68101 85198 91102 91432 99056 104939 122008 136202 156889 167761 170396 182204 182864 209878 244016 272404 313778 335522 340792 364408 419756 468589 544808 625291 627556 671044 681584 728816 839512 937178 1089616 1154329 1250582 1255112 1342088 1679024 1725779 1874356 2308658 2501164 2510224 2684176 3451558 3748712 4302499 4617316 5002328 6432449 6878201 6903116 7497424 8604998 9234632 10004656 12864898 13756402 13806232 15845789 17209996 18469264 25729796 27512804 27612464 31691578 34419992 47327489 51459592 55025608 63383156 68839984 70756939 94654978 102919184 110051216 126766312 141513878 174303679 189309956 253532624 283027756 348607358 378619912 566055512 649677349 697214716 757239824 1132111024 1299354698 1394429432 2598709396 2788858864 5197418792 7146450839 10394837584 14292901678 28585803356 57171606712 114343213424