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145280818179744 = 25313211635500681
BaseRepresentation
bin100001000010000111010011…
…100011110110111010100000
3201001101201012000022021010020
4201002013103203312322200
5123020240103423222434
61232553030403433440
742413123052141432
oct4102072343667240
9631351160267106
10145280818179744
1142322281443595
1214364490085880
13630abcb5a5560
1427c38b442c652
1511be14a3b9849
hex8421d38f6ea0

145280818179744 has 96 divisors (see below), whose sum is σ = 410717178615744. Its totient is φ = 44699669821440.

The previous prime is 145280818179727. The next prime is 145280818179781. The reversal of 145280818179744 is 447971818082541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1452808181797442 (a number of 29 digits) contains 22 as substring.

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, 23661084 + ... + 29161764.

It is an arithmetic number, because the mean of its divisors is an integer number (4278303943914).

Almost surely, 2145280818179744 is an apocalyptic number.

It is an amenable number.

145280818179744 is an abundant number, since it is smaller than the sum of its proper divisors (265436360436000).

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

145280818179744 is a wasteful number, since it uses less digits than its factorization.

145280818179744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521870 (or 5521862 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 69.

The spelling of 145280818179744 in words is "one hundred forty-five trillion, two hundred eighty billion, eight hundred eighteen million, one hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 21163 42326 63489 84652 126978 169304 253956 275119 338608 507912 550238 677216 825357 1015824 1100476 1650714 2031648 2200952 3301428 4401904 5500681 6602856 8803808 11001362 13205712 16502043 22002724 26411424 33004086 44005448 66008172 71508853 88010896 132016344 143017706 176021792 214526559 264032688 286035412 429053118 528065376 572070824 858106236 1144141648 1716212472 2288283296 3432424944 6864849888 116410912003 232821824006 349232736009 465643648012 698465472018 931287296024 1396930944036 1513341856039 1862574592048 2793861888072 3026683712078 3725149184096 4540025568117 5587723776144 6053367424156 9080051136234 11175447552288 12106734848312 18160102272468 24213469696624 36320204544936 48426939393248 72640409089872 145280818179744