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33044240311420 = 22513211638406193
BaseRepresentation
bin1111000001101101101100…
…01101001010010001111100
311022222222221220220201011211
413200312312031022101330
513312344101004431140
6154140151530054204
76650240036161132
oct740666615122174
9138888856821154
1033044240311420
11a58aa90215578
12385824127a364
13155909b672900
148234c7a7b752
153c48533e82ea
hex1e0db634a47c

33044240311420 has 72 divisors (see below), whose sum is σ = 75206048245776. Its totient is φ = 12190457889792.

The previous prime is 33044240311373. The next prime is 33044240311487. The reversal of 33044240311420 is 2411304244033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272157 + ... + 8134036.

It is an arithmetic number, because the mean of its divisors is an integer number (1044528447858).

Almost surely, 233044240311420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33044240311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37603024122888).

33044240311420 is an abundant number, since it is smaller than the sum of its proper divisors (42161807934356).

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

33044240311420 is a wasteful number, since it uses less digits than its factorization.

33044240311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407391 (or 8407376 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 33044240311420 its reverse (2411304244033), we get a palindrome (35455544555453).

The spelling of 33044240311420 in words is "thirty-three trillion, forty-four billion, two hundred forty million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1163 1690 2326 3380 4652 5815 11630 15119 23260 30238 60476 75595 151190 196547 302380 393094 786188 982735 1965470 3930940 8406193 16812386 33624772 42030965 84061930 109280509 168123860 218561018 437122036 546402545 1092805090 1420646617 2185610180 2841293234 5682586468 7103233085 9776402459 14206466170 19552804918 28412932340 39105609836 48882012295 97764024590 127093231967 195528049180 254186463934 508372927868 635466159835 1270932319670 1652212015571 2541864639340 3304424031142 6608848062284 8261060077855 16522120155710 33044240311420