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14300882411136 = 273312514786259
BaseRepresentation
bin1101000000011010111100…
…0001000001111010000000
31212122011002002021010000120
43100012233001001322000
53333301201344124021
650225422405220240
73004130124554226
oct320065701017200
955564062233016
1014300882411136
114613a74330492
12172b734701680
137c974b82b409
1437624886cb16
1519beeacb22c6
hexd01af041e80

14300882411136 has 128 divisors (see below), whose sum is σ = 39368328652800. Its totient is φ = 4594807680000.

The previous prime is 14300882411129. The next prime is 14300882411171. The reversal of 14300882411136 is 63111428800341.

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, 594775 + ... + 5381033.

It is an arithmetic number, because the mean of its divisors is an integer number (307565067600).

Almost surely, 214300882411136 is an apocalyptic number.

14300882411136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14300882411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684164326400).

14300882411136 is an abundant number, since it is smaller than the sum of its proper divisors (25067446241664).

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

14300882411136 is a wasteful number, since it uses less digits than its factorization.

14300882411136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786558 (or 4786546 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 14300882411136 in words is "fourteen trillion, three hundred billion, eight hundred eighty-two million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 251 372 384 496 502 744 753 992 1004 1488 1506 1984 2008 2976 3012 3968 4016 5952 6024 7781 8032 11904 12048 15562 16064 23343 24096 31124 32128 46686 48192 62248 93372 96384 124496 186744 248992 373488 497984 746976 995968 1493952 2987904 4786259 9572518 14358777 19145036 28717554 38290072 57435108 76580144 114870216 148374029 153160288 229740432 296748058 306320576 445122087 459480864 593496116 612641152 890244174 918961728 1186992232 1201351009 1780488348 1837923456 2373984464 2402702018 3560976696 3604053027 4747968928 4805404036 7121953392 7208106054 9495937856 9610808072 14243906784 14416212108 18991875712 19221616144 28487813568 28832424216 37241881279 38443232288 56975627136 57664848432 74483762558 76886464576 111725643837 115329696864 148967525116 153772929152 223451287674 230659393728 297935050232 446902575348 461318787456 595870100464 893805150696 1191740200928 1787610301392 2383480401856 3575220602784 4766960803712 7150441205568 14300882411136