Search a number
-
+
30405225255340 = 22513199775375797
BaseRepresentation
bin1101110100111010001001…
…01001101001000110101100
310222122201012102111121021111
412322131010221221012230
512441124400131132330
6144355545002441404
76255463553256625
oct672350451510654
9128581172447244
1030405225255340
119762868aa30a1
1234b08a0503264
1313c727b496950
147718994c8a4c
1537ad9a2c132a
hex1ba744a691ac

30405225255340 has 96 divisors (see below), whose sum is σ = 69117952579200. Its totient is φ = 11168541812736.

The previous prime is 30405225255331. The next prime is 30405225255451. The reversal of 30405225255340 is 4355252250403.

It is a junction number, because it is equal to n+sod(n) for n = 30405225255293 and 30405225255302.

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, 401102322 + ... + 401178118.

It is an arithmetic number, because the mean of its divisors is an integer number (719978672700).

Almost surely, 230405225255340 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 30405225255340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34558976289600).

30405225255340 is an abundant number, since it is smaller than the sum of its proper divisors (38712727323860).

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

30405225255340 is a wasteful number, since it uses less digits than its factorization.

30405225255340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83771 (or 83769 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 40.

The spelling of 30405225255340 in words is "thirty trillion, four hundred five billion, two hundred twenty-five million, two hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 199 260 398 796 995 1990 2587 3980 5174 7753 10348 12935 15506 25870 31012 38765 51740 75797 77530 100789 151594 155060 201578 303188 378985 403156 503945 757970 985361 1007890 1515940 1542847 1970722 2015780 3085694 3941444 4926805 6171388 7714235 9853610 15083603 15428470 19707220 20057011 30167206 30856940 40114022 60334412 75418015 80228044 100285055 150836030 196086839 200570110 301672060 392173678 401140220 587654141 784347356 980434195 1175308282 1960868390 2350616564 2938270705 3921736780 5876541410 7639503833 11753082820 15279007666 30558015332 38197519165 76395038330 116943174059 152790076660 233886348118 467772696236 584715870295 1169431740590 1520261262767 2338863481180 3040522525534 6081045051068 7601306313835 15202612627670 30405225255340