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134033134031440 = 2457409585195311
BaseRepresentation
bin11110011110011100000101…
…010101111001001001010000
3122120120102221120020011222121
4132132130011111321021100
5120031444324303001230
61153021545521144024
740142401003300420
oct3636340525711120
9576512846204877
10134033134031440
1139786150a19056
121304862948b014
1359a3368b27987
142515349c7c480
15107679939977a
hex79e705579250

134033134031440 has 80 divisors (see below), whose sum is σ = 357015955944960. Its totient is φ = 45841859804160.

The previous prime is 134033134031417. The next prime is 134033134031471. The reversal of 134033134031440 is 44130431330431.

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 = 134033134031396 and 134033134031405.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 292368616 + ... + 292826695.

It is an arithmetic number, because the mean of its divisors is an integer number (4462699449312).

Almost surely, 2134033134031440 is an apocalyptic number.

134033134031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134033134031440 is an abundant number, since it is smaller than the sum of its proper divisors (222982821913520).

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

134033134031440 is a wasteful number, since it uses less digits than its factorization.

134033134031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585195740 (or 585195734 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 134033134031440 its reverse (44130431330431), we get a palindrome (178163565361871).

The spelling of 134033134031440 in words is "one hundred thirty-four trillion, thirty-three billion, one hundred thirty-four million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 409 560 818 1636 2045 2863 3272 4090 5726 6544 8180 11452 14315 16360 22904 28630 32720 45808 57260 114520 229040 585195311 1170390622 2340781244 2925976555 4096367177 4681562488 5851953110 8192734354 9363124976 11703906220 16385468708 20481835885 23407812440 32770937416 40963671770 46815624880 65541874832 81927343540 163854687080 239344882199 327709374160 478689764398 957379528796 1196724410995 1675414175393 1914759057592 2393448821990 3350828350786 3829518115184 4786897643980 6701656701572 8377070876965 9573795287960 13403313403144 16754141753930 19147590575920 26806626806288 33508283507860 67016567015720 134033134031440