Search a number
-
+
114254031011022 = 23371078533311669
BaseRepresentation
bin11001111110100111010110…
…111011101011110011001110
3112222112120121212101220202000
4121332213112323223303032
5104433414223414323042
61042555324404013130
733031403253505320
oct3176472673536316
9488476555356660
10114254031011022
113344a953a00281
12109932439911a6
134b9a1553176a6
14202dcd3199610
15d3202233574c
hex67e9d6eebcce

114254031011022 has 128 divisors (see below), whose sum is σ = 293224269542400. Its totient is φ = 32301002924928.

The previous prime is 114254031010921. The next prime is 114254031011023. The reversal of 114254031011022 is 220110130452411.

114254031011022 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 540 + 3 + 1 + 0 + 110 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114254031011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32844604 + ... + 36156272.

It is an arithmetic number, because the mean of its divisors is an integer number (2290814605800).

Almost surely, 2114254031011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114254031011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146612134771200).

114254031011022 is an abundant number, since it is smaller than the sum of its proper divisors (178970238531378).

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

114254031011022 is a wasteful number, since it uses less digits than its factorization.

114254031011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312647 (or 3312641 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114254031011022 its reverse (220110130452411), we get a palindrome (334364161463433).

The spelling of 114254031011022 in words is "one hundred fourteen trillion, two hundred fifty-four billion, thirty-one million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 107 126 189 214 321 378 642 749 853 963 1498 1706 1926 2247 2559 2889 4494 5118 5778 5971 6741 7677 11942 13482 15354 17913 20223 23031 35826 40446 46062 53739 91271 107478 161217 182542 273813 322434 547626 638897 821439 1277794 1642878 1916691 2464317 3311669 3833382 4928634 5750073 6623338 9935007 11500146 17250219 19870014 23181683 29805021 34500438 46363366 59610042 69545049 89415063 139090098 178830126 208635147 354348583 417270294 625905441 708697166 1063045749 1251810882 2126091498 2480440081 2824853657 3189137247 4960880162 5649707314 6378274494 7441320243 8474560971 9567411741 14882640486 16949121942 19134823482 19773975599 22323960729 25423682913 39547951198 44647921458 50847365826 59321926797 66971882187 76271048739 118643853594 133943764374 152542097478 177965780391 302259341299 355931560782 533897341173 604518682598 906778023897 1067794682346 1813556047794 2115815389093 2720334071691 4231630778186 5440668143382 6347446167279 8161002215073 12694892334558 16322004430146 19042338501837 38084677003674 57127015505511 114254031011022