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4342673710242 = 234767197290137
BaseRepresentation
bin111111001100011011100…
…001100001110010100010
3120101011012101201211010000
4333030123201201302202
51032122243432211432
613122555144520430
7625514334326040
oct77143341416242
916334171654100
104342673710242
111424799106a9a
125a1780780116
132566878ba05a
14110287b9b390
1577e69c4157c
hex3f31b861ca2

4342673710242 has 160 divisors (see below), whose sum is σ = 11344237964928. Its totient is φ = 1216036571904.

The previous prime is 4342673710127. The next prime is 4342673710247. The reversal of 4342673710242 is 2420173762434.

4342673710242 is a `hidden beast` number, since 4 + 34 + 2 + 6 + 7 + 371 + 0 + 242 = 666.

4342673710242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4342673710247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14822598 + ... + 15112734.

Almost surely, 24342673710242 is an apocalyptic number.

4342673710242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342673710242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672118982464).

4342673710242 is an abundant number, since it is smaller than the sum of its proper divisors (7001564254686).

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

4342673710242 is a wasteful number, since it uses less digits than its factorization.

4342673710242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290422 (or 290413 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 4342673710242 in words is "four trillion, three hundred forty-two billion, six hundred seventy-three million, seven hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 81 126 134 162 189 197 201 378 394 402 469 567 591 603 938 1134 1182 1206 1379 1407 1773 1809 2758 2814 3546 3618 4137 4221 5319 5427 8274 8442 10638 10854 12411 12663 13199 15957 24822 25326 26398 31914 37233 37989 39597 74466 75978 79194 92393 111699 118791 184786 223398 237582 277179 290137 356373 554358 580274 712746 831537 870411 1069119 1663074 1740822 2030959 2138238 2494611 2611233 4061918 4989222 5222466 6092877 7483833 7833699 12185754 14967666 15667398 18278631 19439179 23501097 36557262 38878358 47002194 54835893 57156989 58317537 109671786 114313978 116635074 136074253 164507679 171470967 174952611 272148506 329015358 342941934 349905222 400098923 408222759 514412901 524857833 800197846 816445518 1028825802 1049715666 1200296769 1224668277 1543238703 1574573499 2400593538 2449336554 3086477406 3149146998 3600890307 3674004831 3829518263 4629716109 7201780614 7348009662 7659036526 9259432218 10802670921 11022014493 11488554789 21605341842 22044028986 22977109578 26806627841 32408012763 34465664367 53613255682 64816025526 68931328734 80419883523 103396993101 160839767046 206793986202 241259650569 310190979303 482519301138 620381958606 723778951707 1447557903414 2171336855121 4342673710242