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33023140224240 = 2435797172642933
BaseRepresentation
bin1111000001000110011001…
…00010101101110011110000
311022220222111102101020000110
413200203030202231303300
513312022342344133430
6154122342102021320
76645562125326025
oct740431442556360
9138828442336013
1033023140224240
11a5820428217a1
123854132a17840
1315570b80b671a
1482248563354c
153c401acca7b0
hex1e08cc8adcf0

33023140224240 has 80 divisors (see below), whose sum is σ = 102500181631008. Its totient is φ = 8795121527808.

The previous prime is 33023140224227. The next prime is 33023140224241. The reversal of 33023140224240 is 4242204132033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33023140224198 and 33023140224207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023140224241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86130187 + ... + 86512746.

Almost surely, 233023140224240 is an apocalyptic number.

33023140224240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33023140224240 is an abundant number, since it is smaller than the sum of its proper divisors (69477041406768).

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

33023140224240 is a wasteful number, since it uses less digits than its factorization.

33023140224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172643746 (or 172643740 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 33023140224240 its reverse (4242204132033), we get a palindrome (37265344356273).

The spelling of 33023140224240 in words is "thirty-three trillion, twenty-three billion, one hundred forty million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 797 1594 2391 3188 3985 4782 6376 7970 9564 11955 12752 15940 19128 23910 31880 38256 47820 63760 95640 191280 172642933 345285866 517928799 690571732 863214665 1035857598 1381143464 1726429330 2071715196 2589643995 2762286928 3452858660 4143430392 5179287990 6905717320 8286860784 10358575980 13811434640 20717151960 41434303920 137596417601 275192835202 412789252803 550385670404 687982088005 825578505606 1100771340808 1375964176010 1651157011212 2063946264015 2201542681616 2751928352020 3302314022424 4127892528030 5503856704040 6604628044848 8255785056060 11007713408080 16511570112120 33023140224240