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330044132400020 = 225167221354178243
BaseRepresentation
bin100101100001011000110001…
…1010001011001101110010100
31121021120220121001112112222022
41023002301203101121232110
5321224420340343300040
63125540103053552312
7126342621163321463
oct11302614321315624
91537526531475868
10330044132400020
1196186a26563945
12310249201a5698
1311221049a9401c
145b7031512a9da
152825312ce96b5
hex12c2c63459b94

330044132400020 has 96 divisors (see below), whose sum is σ = 697771412368128. Its totient is φ = 131127705992192.

The previous prime is 330044132399941. The next prime is 330044132400077. The reversal of 330044132400020 is 20004231440033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40039318019 + ... + 40039326261.

It is an arithmetic number, because the mean of its divisors is an integer number (7268452212168).

Almost surely, 2330044132400020 is an apocalyptic number.

It is an amenable number.

330044132400020 is an abundant number, since it is smaller than the sum of its proper divisors (367727279968108).

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

330044132400020 is a wasteful number, since it uses less digits than its factorization.

330044132400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16049 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 330044132400020 its reverse (20004231440033), we get a palindrome (350048363840053).

The spelling of 330044132400020 in words is "three hundred thirty trillion, forty-four billion, one hundred thirty-two million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 167 334 668 835 1670 2213 3340 4426 5417 8243 8852 10834 11065 16486 21668 22130 27085 32972 41215 44260 54170 82430 108340 164860 369571 739142 904639 1376581 1478284 1809278 1847855 2753162 3618556 3695710 4523195 5506324 6882905 7391420 9046390 11987821 13765810 18092780 18241759 23975642 27531620 36483518 44652331 47951284 59939105 72967036 89304662 91208795 119878210 178609324 182417590 223261655 239756420 364835180 446523310 893046620 2001966107 3046373753 4003932214 6092747506 7456939277 8007864428 10009830535 12185495012 14913878554 15231868765 20019661070 29827757108 30463737530 37284696385 40039322140 60927475060 74569392770 98815608503 149138785540 197631217006 395262434012 494078042515 988156085030 1976312170060 16502206620001 33004413240002 66008826480004 82511033100005 165022066200010 330044132400020