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424302411430134 = 233415920261160319
BaseRepresentation
bin110000001111001101001101…
…0100000101011100011110110
32001122022220200120212200202000
41200132122122200223203312
5421103232314311231014
64102225500433400130
7155241560204503416
oct14036323240534366
92048286616780660
10424302411430134
11113217707790766
123b708797109046
131529a712c17243
1476ac4bc300646
15340c12d1b1509
hex181e69a82b8f6

424302411430134 has 128 divisors (see below), whose sum is σ = 982317321216000. Its totient is φ = 135638262316800.

The previous prime is 424302411430127. The next prime is 424302411430141. The reversal of 424302411430134 is 431034114203424.

424302411430134 is a `hidden beast` number, since 4 + 2 + 4 + 302 + 4 + 1 + 14 + 301 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (424302411430127) and next prime (424302411430141).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2646533227 + ... + 2646693545.

It is an arithmetic number, because the mean of its divisors is an integer number (7674354072000).

Almost surely, 2424302411430134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424302411430134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491158660608000).

424302411430134 is an abundant number, since it is smaller than the sum of its proper divisors (558014909785866).

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

424302411430134 is a wasteful number, since it uses less digits than its factorization.

424302411430134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180691 (or 180685 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 424302411430134 its reverse (431034114203424), we get a palindrome (855336525633558).

The spelling of 424302411430134 in words is "four hundred twenty-four trillion, three hundred two billion, four hundred eleven million, four hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 59 82 118 123 177 246 354 369 531 738 1062 1107 1593 2214 2419 3186 4838 7257 14514 20261 21771 40522 43542 60783 65313 121566 130626 160319 182349 320638 364698 480957 547047 830701 961914 1094094 1195399 1442871 1661402 2390798 2492103 2885742 3586197 4328613 4984206 6573079 7172394 7476309 8657226 9458821 10758591 13146158 14952618 18917642 19719237 21517182 22428927 28376463 32275773 39438474 44857854 49011359 56752926 59157711 64551546 85129389 98022718 118315422 147034077 170258778 177473133 255388167 294068154 354946266 387811661 441102231 510776334 775623322 882204462 1163434983 1323306693 2326869966 2646613386 3248223259 3490304949 6496446518 6980609898 9744669777 10470914847 19489339554 20941829694 29234009331 58468018662 87702027993 133177153619 175404055986 191645172281 266354307238 383290344562 399531460857 574935516843 799062921714 1149871033686 1198594382571 1724806550529 2397188765142 3449613101058 3595783147713 5174419651587 7191566295426 7857452063521 10348839303174 15714904127042 23572356190563 47144712381126 70717068571689 141434137143378 212151205715067 424302411430134