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323043423114440 = 23574151975414599
BaseRepresentation
bin100100101110011100110100…
…0011110110101010011001000
31120100210122112120221010200202
41021130321220132311103020
5314320220412304130230
63103020033321551332
7125021055113244260
oct11134715036652310
91510718476833622
10323043423114440
1193a27a45694876
1230293b90945548
1310b33b305279b2
1459ab556a207a0
15275317a1e1a45
hex125ce687b54c8

323043423114440 has 128 divisors (see below), whose sum is σ = 851107545792000. Its totient is φ = 108035524638720.

The previous prime is 323043423114389. The next prime is 323043423114457. The reversal of 323043423114440 is 44411324340323.

It is a junction number, because it is equal to n+sod(n) for n = 323043423114394 and 323043423114403.

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, 56954261 + ... + 62368859.

It is an arithmetic number, because the mean of its divisors is an integer number (6649277701500).

Almost surely, 2323043423114440 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 323043423114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425553772896000).

323043423114440 is an abundant number, since it is smaller than the sum of its proper divisors (528064122677560).

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

323043423114440 is a wasteful number, since it uses less digits than its factorization.

323043423114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419855 (or 5419851 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 323043423114440 its reverse (44411324340323), we get a palindrome (367454747454763).

The spelling of 323043423114440 in words is "three hundred twenty-three trillion, forty-three billion, four hundred twenty-three million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5197 5740 10394 11480 20788 25985 36379 41576 51970 72758 103940 145516 181895 207880 213077 291032 363790 426154 727580 852308 1065385 1455160 1491539 1704616 2130770 2983078 4261540 5414599 5966156 7457695 8523080 10829198 11932312 14915390 21658396 27072995 29830780 37902193 43316792 54145990 59661560 75804386 108291980 151608772 189510965 216583960 221998559 303217544 379021930 443997118 758043860 887994236 1109992795 1516087720 1553989913 1775988472 2219985590 3107979826 4439971180 6215959652 7769949565 8879942360 12431919304 15539899130 28139671003 31079798260 56279342006 62159596520 112558684012 140698355015 196977697021 225117368024 281396710030 393955394042 562793420060 787910788084 984888485105 1125586840120 1153726511123 1575821576168 1969776970210 2307453022246 3939553940420 4614906044492 5768632555615 7879107880840 8076085577861 9229812088984 11537265111230 16152171155722 23074530222460 32304342311444 40380427889305 46149060444920 64608684622888 80760855778610 161521711557220 323043423114440