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134404431254540 = 225435316717657239
BaseRepresentation
bin11110100011110101111000…
…011000011001010000001100
3122121212221022220110102011022
4132203311320120121100030
5120104040233400121130
61153504313205213312
740211254046516216
oct3643657030312014
9577787286412138
10134404431254540
1139909665588327
12130a8590101238
1359cc38ba75c55
1425292cddd35b6
15108127aeab7e5
hex7a3d7861940c

134404431254540 has 96 divisors (see below), whose sum is σ = 296024617405440. Its totient is φ = 51212205547776.

The previous prime is 134404431254519. The next prime is 134404431254557. The reversal of 134404431254540 is 45452134404431.

It is a super-2 number, since 2×1344044312545402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134404431254491 and 134404431254500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216760 + ... + 16440479.

It is an arithmetic number, because the mean of its divisors is an integer number (3083589764640).

Almost surely, 2134404431254540 is an apocalyptic number.

134404431254540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134404431254540 is an abundant number, since it is smaller than the sum of its proper divisors (161620186150900).

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

134404431254540 is a wasteful number, since it uses less digits than its factorization.

134404431254540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17657511 (or 17657509 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

Adding to 134404431254540 its reverse (45452134404431), we get a palindrome (179856565658971).

The spelling of 134404431254540 in words is "one hundred thirty-four trillion, four hundred four billion, four hundred thirty-one million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 43 53 86 106 167 172 212 215 265 334 430 530 668 835 860 1060 1670 2279 3340 4558 7181 8851 9116 11395 14362 17702 22790 28724 35404 35905 44255 45580 71810 88510 143620 177020 380593 761186 1522372 1902965 3805930 7611860 17657239 35314478 70628956 88286195 176572390 353144780 759261277 935833667 1518522554 1871667334 2948758913 3037045108 3743334668 3796306385 4679168335 5897517826 7592612770 9358336670 11795035652 14743794565 15185225540 18716673340 29487589130 40240847681 58975178260 80481695362 126796633259 156284222389 160963390724 201204238405 253593266518 312568444778 402408476810 507186533036 625136889556 633983166295 781421111945 804816953620 1267966332590 1562842223890 2535932665180 3125684447780 6720221562727 13440443125454 26880886250908 33601107813635 67202215627270 134404431254540