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534055240320 = 2735739736253
BaseRepresentation
bin1111100010110000010…
…11000100001010000000
31220001111020011011112120
413301120023010022000
532222221120142240
61045201441124240
753404246433310
oct7613013041200
91801436134476
10534055240320
11196545295608
1287606029680
133b490705c54
141bbc4081440
15dd5a794ad0
hex7c582c4280

534055240320 has 128 divisors (see below), whose sum is σ = 1945486995840. Its totient is φ = 122069766144.

The previous prime is 534055240283. The next prime is 534055240333. The reversal of 534055240320 is 23042550435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 19854687 + ... + 19881566.

It is an arithmetic number, because the mean of its divisors is an integer number (15199117155).

Almost surely, 2534055240320 is an apocalyptic number.

It is an amenable number.

534055240320 is an abundant number, since it is smaller than the sum of its proper divisors (1411431755520).

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

534055240320 is a wasteful number, since it uses less digits than its factorization.

534055240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39736282 (or 39736270 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 534055240320 its reverse (23042550435), we get a palindrome (557097790755).

The spelling of 534055240320 in words is "five hundred thirty-four billion, fifty-five million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 39736253 79472506 119208759 158945012 198681265 238417518 278153771 317890024 397362530 476835036 556307542 596043795 635780048 794725060 834461313 953670072 1112615084 1192087590 1271560096 1390768855 1589450120 1668922626 1907340144 2225230168 2384175180 2543120192 2781537710 3178900240 3337845252 3814680288 4172306565 4450460336 4768350360 5086240384 5563075420 6357800480 6675690504 7629360576 8344613130 8900920672 9536700720 11126150840 12715600960 13351381008 15258721152 16689226260 17801841344 19073401440 22252301680 25431201920 26702762016 33378452520 35603682688 38146802880 44504603360 53405524032 66756905040 76293605760 89009206720 106811048064 133513810080 178018413440 267027620160 534055240320