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134450041114344 = 233731559491910007
BaseRepresentation
bin11110100100100000010110…
…111100001100111011101000
3122122001022001112110100121010
4132210200112330030323220
5120110312141011124334
61153541255102543520
740214460233110344
oct3644402674147350
9578038045410533
10134450041114344
1139926a4011603a
12130b539a897ba0
135a0377a125787
14252b5b9654624
15108254a2140e9
hex7a4816f0cee8

134450041114344 has 128 divisors (see below), whose sum is σ = 341051503104000. Its totient is φ = 44161006155264.

The previous prime is 134450041114307. The next prime is 134450041114387. The reversal of 134450041114344 is 443411140054431.

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 31 ways as a sum of consecutive naturals, for example, 13435594189 + ... + 13435604195.

It is an arithmetic number, because the mean of its divisors is an integer number (2664464868000).

Almost surely, 2134450041114344 is an apocalyptic number.

It is an amenable number.

134450041114344 is an abundant number, since it is smaller than the sum of its proper divisors (206601461989656).

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

134450041114344 is a wasteful number, since it uses less digits than its factorization.

134450041114344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16567 (or 16563 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 134450041114344 its reverse (443411140054431), we get a palindrome (577861181168775).

The spelling of 134450041114344 in words is "one hundred thirty-four trillion, four hundred fifty billion, forty-one million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1559 1752 3118 4677 4919 6236 9354 9838 10007 12472 14757 18708 19676 20014 29514 30021 37416 39352 40028 59028 60042 80056 113807 118056 120084 227614 240168 341421 359087 455228 682842 718174 730511 910456 1077261 1365684 1436348 1461022 2154522 2191533 2731368 2872696 2922044 4309044 4383066 5844088 7668721 8618088 8766132 15337442 15600913 17532264 23006163 30674884 31201826 46012326 46802739 49224433 61349768 62403652 92024652 93605478 98448866 124807304 147673299 184049304 187210956 196897732 295346598 374421912 393795464 559816633 590693196 1119633266 1138866649 1181386392 1679449899 2239266532 2277733298 3358899798 3416599947 3593383609 4478533064 4555466596 6717799596 6833199894 7186767218 9110933192 10780150827 13435599192 13666399788 14373534436 21560301654 27332799576 28747068872 43120603308 76740891047 86241206616 153481782094 230222673141 306963564188 460445346282 613927128376 920890692564 1841781385128 5602085046431 11204170092862 16806255139293 22408340185724 33612510278586 44816680371448 67225020557172 134450041114344