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134123111144240 = 2457179298901567
BaseRepresentation
bin11110011111101111111000…
…011001010101101100110000
3122120220001012020001002202212
4132133233320121111230300
5120034433112423103430
61153131150123031252
740152034504161431
oct3637577031255460
9576801166032685
10134123111144240
11398103237276a9
1213061b5a66b528
1359ab9a7c9561a
142519843add488
151078cb3704b95
hex79fbf8655b30

134123111144240 has 80 divisors (see below), whose sum is σ = 320231183892480. Its totient is φ = 52224081611520.

The previous prime is 134123111144227. The next prime is 134123111144249. The reversal of 134123111144240 is 42441111321431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 134123111144197 and 134123111144206.

It is not an unprimeable number, because it can be changed into a prime (134123111144249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149002064 + ... + 149899503.

It is an arithmetic number, because the mean of its divisors is an integer number (4002889798656).

Almost surely, 2134123111144240 is an apocalyptic number.

134123111144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134123111144240 is an abundant number, since it is smaller than the sum of its proper divisors (186108072748240).

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

134123111144240 is a wasteful number, since it uses less digits than its factorization.

134123111144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298901730 (or 298901724 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 134123111144240 its reverse (42441111321431), we get a palindrome (176564222465671).

The spelling of 134123111144240 in words is "one hundred thirty-four trillion, one hundred twenty-three billion, one hundred eleven million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 79 80 142 158 284 316 355 395 568 632 710 790 1136 1264 1420 1580 2840 3160 5609 5680 6320 11218 22436 28045 44872 56090 89744 112180 224360 448720 298901567 597803134 1195606268 1494507835 2391212536 2989015670 4782425072 5978031340 11956062680 21222011257 23613223793 23912125360 42444022514 47226447586 84888045028 94452895172 106110056285 118066118965 169776090056 188905790344 212220112570 236132237930 339552180112 377811580688 424440225140 472264475860 848880450280 944528951720 1676538889303 1697760900560 1889057903440 3353077778606 6706155557212 8382694446515 13412311114424 16765388893030 26824622228848 33530777786060 67061555572120 134123111144240