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334434113330240 = 26571113572813041
BaseRepresentation
bin100110000001010101000001…
…0100001101001110001000000
31121212010120220101011010221202
41030002222002201221301000
5322313332031003031430
63143140524412440332
7130305032044460630
oct11402520241516100
91555116811133852
10334434113330240
1197619790328450
12316136a3a790a8
131147c003594721
145c829a9b446c0
15289e5eacc4d45
hex1302a82869c40

334434113330240 has 112 divisors (see below), whose sum is σ = 992878419648384. Its totient is φ = 104239204147200.

The previous prime is 334434113330237. The next prime is 334434113330299. The reversal of 334434113330240 is 42033311434433.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3344341133302402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334434113330194 and 334434113330203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6786381881 + ... + 6786431160.

Almost surely, 2334434113330240 is an apocalyptic number.

It is an amenable number.

334434113330240 is an abundant number, since it is smaller than the sum of its proper divisors (658444306318144).

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

334434113330240 is a wasteful number, since it uses less digits than its factorization.

334434113330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572813076 (or 13572813066 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 38.

Adding to 334434113330240 its reverse (42033311434433), we get a palindrome (376467424764673).

The spelling of 334434113330240 in words is "three hundred thirty-four trillion, four hundred thirty-four billion, one hundred thirteen million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 13572813041 27145626082 54291252164 67864065205 95009691287 108582504328 135728130410 149300943451 190019382574 217165008656 271456260820 298601886902 380038765148 434330017312 475048456435 542912521640 597203773804 746504717255 760077530296 868660034624 950096912870 1045106604157 1085825043280 1194407547608 1493009434510 1520155060592 1900193825740 2090213208314 2171650086560 2388815095216 2986018869020 3040310121184 3800387651480 4180426416628 4343300173120 4777630190432 5225533020785 5972037738040 6080620242368 7600775302960 8360852833256 9555260380864 10451066041570 11944075476080 15201550605920 16721705666512 20902132083140 23888150952160 30403101211840 33443411333024 41804264166280 47776301904320 66886822666048 83608528332560 167217056665120 334434113330240