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133038723840 = 2835113149591
BaseRepresentation
bin111101111100110111…
…0011101001100000000
3110201101200211102002020
41323321232131030000
54134430403130330
6141041145321440
712416552331351
oct1737156351400
9421350742066
10133038723840
115146a989350
122194a496280
13c7125c6a89
146620cb1d28
1536d9a06210
hex1ef9b9d300

133038723840 has 144 divisors (see below), whose sum is σ = 463519155456. Its totient is φ = 32251801600.

The previous prime is 133038723833. The next prime is 133038723863. The reversal of 133038723840 is 48327830331.

It is a junction number, because it is equal to n+sod(n) for n = 133038723792 and 133038723801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1532556 + ... + 1617035.

It is an arithmetic number, because the mean of its divisors is an integer number (3218883024).

Almost surely, 2133038723840 is an apocalyptic number.

133038723840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133038723840 is an abundant number, since it is smaller than the sum of its proper divisors (330480431616).

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

133038723840 is a wasteful number, since it uses less digits than its factorization.

133038723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149626 (or 3149612 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 133038723840 in words is "one hundred thirty-three billion, thirty-eight million, seven hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 3149591 6299182 9448773 12598364 15747955 18897546 25196728 31495910 34645501 37795092 47243865 50393456 62991820 69291002 75590184 94487730 100786912 103936503 125983640 138582004 151180368 173227505 188975460 201573824 207873006 251967280 277164008 302360736 346455010 377950920 403147648 415746012 503934560 519682515 554328016 604721472 692910020 755901840 806295296 831492024 1007869120 1039365030 1108656032 1209442944 1385820040 1511803680 1662984048 2015738240 2078730060 2217312064 2418885888 2771640080 3023607360 3325968096 4031476480 4157460120 4434624128 5543280160 6047214720 6651936192 8314920240 8869248256 11086560320 12094429440 13303872384 16629840480 22173120640 26607744768 33259680960 44346241280 66519361920 133038723840