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201334254024320 = 2751597196984829
BaseRepresentation
bin101101110001110011001000…
…101100010011011010000000
3222101212100220022222020110222
4231301303020230103122000
5202342130023012234240
61552111402431442212
760256630334354264
oct5561631054233200
9871770808866428
10201334254024320
1159173417694a4a
121a6b7b16386368
13884597ab91161
1437a08b65b40a4
1518422752deeb5
hexb71cc8b13680

201334254024320 has 64 divisors (see below), whose sum is σ = 481616090260200. Its totient is φ = 80483273084928.

The previous prime is 201334254024287. The next prime is 201334254024361. The reversal of 201334254024320 is 23420452433102.

It can be written as a sum of positive squares in 4 ways, for example, as 105139430077504 + 96194823946816 = 10253752^2 + 9807896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97470335 + ... + 99514494.

Almost surely, 2201334254024320 is an apocalyptic number.

201334254024320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201334254024320 is an abundant number, since it is smaller than the sum of its proper divisors (280281836235880).

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

201334254024320 is a wasteful number, since it uses less digits than its factorization.

201334254024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196986445 (or 196986433 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

The spelling of 201334254024320 in words is "two hundred one trillion, three hundred thirty-four billion, two hundred fifty-four million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1597 3194 6388 7985 12776 15970 25552 31940 51104 63880 102208 127760 204416 255520 511040 1022080 196984829 393969658 787939316 984924145 1575878632 1969848290 3151757264 3939696580 6303514528 7879393160 12607029056 15758786320 25214058112 31517572640 63035145280 126070290560 314584771913 629169543826 1258339087652 1572923859565 2516678175304 3145847719130 5033356350608 6291695438260 10066712701216 12583390876520 20133425402432 25166781753040 40266850804864 50333563506080 100667127012160 201334254024320