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130005440566320 = 24351179181621923
BaseRepresentation
bin11101100011110101000000…
…000110101001010000110000
3122001022101202200101200201010
4131203311000012221100300
5114020002120241110240
61140255401440110520
736245404003565034
oct3543650006512060
9561271680350633
10130005440566320
1138472aa7a68230
12126b7b13005440
1357705ca7898b7
1424164229841c4
151006b17028280
hex763d401a9430

130005440566320 has 160 divisors (see below), whose sum is σ = 439661022107904. Its totient is φ = 31516021734400.

The previous prime is 130005440566319. The next prime is 130005440566343. The reversal of 130005440566320 is 23665044500031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208726879 + ... + 209348801.

Almost surely, 2130005440566320 is an apocalyptic number.

130005440566320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130005440566320 is an abundant number, since it is smaller than the sum of its proper divisors (309655581541584).

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

130005440566320 is a wasteful number, since it uses less digits than its factorization.

130005440566320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701131 (or 701125 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 130005440566320 in words is "one hundred thirty trillion, five billion, four hundred forty million, five hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 79181 158362 237543 316724 395905 475086 621923 633448 791810 870991 950172 1187715 1243846 1266896 1583620 1741982 1865769 1900344 2375430 2487692 2612973 3109615 3167240 3483964 3731538 3800688 4354955 4750860 4975384 5225946 6219230 6334480 6841153 6967928 7463076 8709910 9328845 9501720 9950768 10451892 12438460 13064865 13682306 13935856 14926152 17419820 18657690 19003440 20523459 20903784 24876920 26129730 27364612 29852304 34205765 34839640 37315380 41046918 41807568 49753840 52259460 54729224 68411530 69679280 74630760 82093836 102617295 104518920 109458448 136823060 149261520 164187672 205234590 209037840 273646120 328375344 410469180 547292240 820938360 1641876720 49244485063 98488970126 147733455189 196977940252 246222425315 295466910378 393955880504 492444850630 541689335693 590933820756 738667275945 787911761008 984889701260 1083378671386 1181867641512 1477334551890 1625068007079 1969779402520 2166757342772 2363735283024 2708446678465 2954669103780 3250136014158 3939558805040 4333514685544 5416893356930 5909338207560 6500272028316 8125340035395 8667029371088 10833786713860 11818676415120 13000544056632 16250680070790 21667573427720 26001088113264 32501360141580 43335146855440 65002720283160 130005440566320