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148354414564224 = 27311324791081369
BaseRepresentation
bin100001101110110101110100…
…001011100101001110000000
3201110021112200020011020111010
4201232311310023211032000
5123421114320112023344
61243305024401120520
743151152456301241
oct4156656413451600
9643245606136433
10148354414564224
11432a7832480210
12147800b5329140
1364a19b866534b
14288c56b828cc8
15122408ad198b9
hex86ed742e5380

148354414564224 has 128 divisors (see below), whose sum is σ = 429904266624000. Its totient is φ = 44954457477120.

The previous prime is 148354414564217. The next prime is 148354414564243. The reversal of 148354414564224 is 422465414453841.

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

It is a congruent number.

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, 136650612 + ... + 137731980.

It is an arithmetic number, because the mean of its divisors is an integer number (3358627083000).

Almost surely, 2148354414564224 is an apocalyptic number.

It is an amenable number.

148354414564224 is an abundant number, since it is smaller than the sum of its proper divisors (281549852059776).

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

148354414564224 is a wasteful number, since it uses less digits than its factorization.

148354414564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113876 (or 1113864 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 57.

The spelling of 148354414564224 in words is "one hundred forty-eight trillion, three hundred fifty-four billion, four hundred fourteen million, five hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 32479 64958 97437 129916 194874 259832 357269 389748 519664 714538 779496 1039328 1071807 1081369 1429076 1558992 2078656 2143614 2162738 2858152 3117984 3244107 4157312 4287228 4325476 5716304 6235968 6488214 8574456 8650952 11432608 11895059 12471936 12976428 17148912 17301904 22865216 23790118 25952856 34297824 34603808 35685177 45730432 47580236 51905712 68595648 69207616 71370354 95160472 103811424 137191296 138415232 142740708 190320944 207622848 285481416 380641888 415245696 570962832 761283776 1141925664 1522567552 2283851328 4567702656 35121783751 70243567502 105365351253 140487135004 210730702506 280974270008 386339621261 421461405012 561948540016 772679242522 842922810024 1123897080032 1159018863783 1545358485044 1685845620048 2247794160064 2318037727566 3090716970088 3371691240096 4495588320128 4636075455132 6181433940176 6743382480192 9272150910264 12362867880352 13486764960384 18544301820528 24725735760704 37088603641056 49451471521408 74177207282112 148354414564224