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24312344321342 = 271123163215319559
BaseRepresentation
bin1011000011100101010001…
…01001011001110100111110
310012002020102002002201202202
411201302220221121310332
511141313140121240332
6123412534202551502
75056336361660420
oct541625051316476
9105066362081682
1024312344321342
117823897603270
122887a8ab08592
13107484b4bb10c
14600a1bd4a810
152c26470d6a62
hex161ca8a59d3e

24312344321342 has 128 divisors (see below), whose sum is σ = 47759759032320. Its totient is φ = 9000272413440.

The previous prime is 24312344321323. The next prime is 24312344321351.

24312344321342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24312344321296 and 24312344321305.

It is a congruent number.

It is an unprimeable number.

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, 1243016159 + ... + 1243035717.

It is an arithmetic number, because the mean of its divisors is an integer number (373123117440).

Almost surely, 224312344321342 is an apocalyptic number.

24312344321342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24312344321342 is a deficient number, since it is larger than the sum of its proper divisors (23447414710978).

24312344321342 is a wasteful number, since it uses less digits than its factorization.

24312344321342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21918.

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 2431234 and 4321342, that added together give a palindrome (6752576).

The spelling of 24312344321342 in words is "twenty-four trillion, three hundred twelve billion, three hundred forty-four million, three hundred twenty-one thousand, three hundred forty-two".

Divisors: 1 2 7 11 14 22 23 46 77 154 161 163 253 322 326 506 1141 1771 1793 2153 2282 3542 3586 3749 4306 7498 12551 15071 19559 23683 25102 26243 30142 39118 41239 47366 49519 52486 82478 99038 136913 165781 215149 273826 288673 331562 346633 350939 430298 449857 544709 577346 693266 701878 899714 1089418 1506043 2456573 3012086 3148999 3188117 3812963 3860329 4913146 4948427 6297998 6376234 7625926 7720658 8071597 9896854 16143194 22316819 27022303 34638989 35069287 42110527 44633638 54044606 56501179 69277978 70138574 73326691 84221054 88787567 113002358 146653382 177575134 245485009 294773689 463215797 490970018 513286837 589547378 621512969 806593601 926431594 968542121 1026573674 1243025938 1613187202 1937084242 3242510579 5646155207 6485021158 6779794847 6864015901 10653963331 11292310414 13559589694 13728031802 21307926662 48048111307 74577743317 75504174911 96096222614 149155486634 151008349822 157872365723 315744731446 528529224377 1057058448754 1105106560061 1736596022953 2210213120122 3473192045906 12156172160671 24312344321342