Search a number
-
+
332053420416300 = 2232521133540749537
BaseRepresentation
bin100101110000000000011011…
…0001010111001110100101100
31121112200222220210102112000100
41023200000312022321310230
5322010330401111310200
63134115122505231100
7126641032206546312
oct11340006612716454
91545628823375010
10332053420416300
1196891079234840
12312aa216792490
131133867066b9cb
145bdd6853660b2
15285c7113e6d00
hex12e00362b9d2c

332053420416300 has 108 divisors (see below), whose sum is σ = 1135421453360376. Its totient is φ = 80497798886400.

The previous prime is 332053420416241. The next prime is 332053420416323. The reversal of 332053420416300 is 3614024350233.

332053420416300 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 5 + 342 + 0 + 4 + 1 + 6 + 300 = 666.

It is a super-2 number, since 2×3320534204163002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16770364869 + ... + 16770384668.

Almost surely, 2332053420416300 is an apocalyptic number.

332053420416300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332053420416300 is an abundant number, since it is smaller than the sum of its proper divisors (803368032944076).

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

332053420416300 is a wasteful number, since it uses less digits than its factorization.

332053420416300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33540749568 (or 33540749558 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 332053420416300 its reverse (3614024350233), we get a palindrome (335667444766533).

The spelling of 332053420416300 in words is "three hundred thirty-two trillion, fifty-three billion, four hundred twenty million, four hundred sixteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 33540749537 67081499074 100622248611 134162998148 167703747685 201244497222 301866745833 335407495370 368948244907 402488994444 503111243055 603733491666 670814990740 737896489814 838518738425 1006222486110 1106844734721 1207466983332 1475792979628 1509333729165 1677037476850 1844741224535 2012444972220 2213689469442 2515556215275 3018667458330 3320534204163 3354074953700 3689482449070 4427378938884 5031112430550 5534223673605 6037334916660 6641068408326 7378964898140 7546668645825 9223706122675 10062224861100 11068447347210 13282136816652 15093337291650 16602671020815 18447412245350 22136894694420 27671118368025 30186674583300 33205342041630 36894824490700 55342236736050 66410684083260 83013355104075 110684473472100 166026710208150 332053420416300