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134240634234 = 23374795691303
BaseRepresentation
bin111110100000101011…
…1011000010101111010
3110211111110102210012000
41331001113120111322
54144411100243414
6141400322401430
712461415364320
oct1750127302572
9424443383160
10134240634234
1151a2737a423
1222024b00276
13c874609965
1466d677bd10
15375a2bcb09
hex1f415d857a

134240634234 has 128 divisors (see below), whose sum is σ = 342503424000. Its totient is φ = 38177806464.

The previous prime is 134240634221. The next prime is 134240634293. The reversal of 134240634234 is 432436042431.

134240634234 is a `hidden beast` number, since 13 + 4 + 2 + 4 + 0 + 634 + 2 + 3 + 4 = 666.

It is a Curzon 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, 103023627 + ... + 103024929.

It is an arithmetic number, because the mean of its divisors is an integer number (2675808000).

Almost surely, 2134240634234 is an apocalyptic number.

134240634234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134240634234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171251712000).

134240634234 is an abundant number, since it is smaller than the sum of its proper divisors (208262789766).

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

134240634234 is a wasteful number, since it uses less digits than its factorization.

134240634234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 134240634234 its reverse (432436042431), we get a palindrome (566676676665).

The spelling of 134240634234 in words is "one hundred thirty-four billion, two hundred forty million, six hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 479 569 958 1138 1303 1437 1707 2606 2874 3353 3414 3909 3983 4311 5121 6706 7818 7966 8622 9121 10059 10242 11727 11949 12933 15363 18242 20118 23454 23898 25866 27363 30177 30726 35181 35847 54726 60354 70362 71694 82089 90531 107541 164178 181062 215082 246267 272551 492534 545102 624137 741407 817653 1248274 1482814 1635306 1872411 1907857 2224221 2452959 3744822 3815714 4368959 4448442 4905918 5189849 5617233 5723571 6672663 7358877 8737918 10379698 11234466 11447142 13106877 13345326 14717754 15569547 16851699 17170713 20017989 26213754 31139094 33703398 34341426 39320631 40035978 46708641 51512139 78641262 93417282 103024278 117961893 140125923 235923786 280251846 355133953 710267906 1065401859 2130803718 2485937671 3196205577 4971875342 6392411154 7457813013 9588616731 14915626026 19177233462 22373439039 44746878078 67120317117 134240634234