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428494103340 = 2235163123735419
BaseRepresentation
bin1100011110001000011…
…11010010001100101100
31111222000111020210111120
412033010033102030230
524010023442301330
6524503015420540
742646324532412
oct6170417221454
91458014223446
10428494103340
111557a5828a36
126b065984750
1331539a28214
1416a4c6112b2
15b22d210c10
hex63c43d232c

428494103340 has 96 divisors (see below), whose sum is σ = 1208154097920. Its totient is φ = 113469071616.

The previous prime is 428494103327. The next prime is 428494103341. The reversal of 428494103340 is 43301494824.

It is a junction number, because it is equal to n+sod(n) for n = 428494103292 and 428494103301.

It is not an unprimeable number, because it can be changed into a prime (428494103341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12080151 + ... + 12115569.

It is an arithmetic number, because the mean of its divisors is an integer number (12584938520).

Almost surely, 2428494103340 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 428494103340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604077048960).

428494103340 is an abundant number, since it is smaller than the sum of its proper divisors (779659994580).

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

428494103340 is a wasteful number, since it uses less digits than its factorization.

428494103340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36831 (or 36829 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 428494103340 in words is "four hundred twenty-eight billion, four hundred ninety-four million, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1237 1630 1956 2445 2474 3260 3711 4890 4948 6185 7422 9780 12370 14844 18555 24740 35419 37110 70838 74220 106257 141676 177095 201631 212514 354190 403262 425028 531285 604893 708380 806524 1008155 1062570 1209786 2016310 2125140 2419572 3024465 4032620 5773297 6048930 11546594 12097860 17319891 23093188 28866485 34639782 43813303 57732970 69279564 86599455 87626606 115465940 131439909 173198910 175253212 219066515 262879818 346397820 438133030 525759636 657199545 876266060 1314399090 2628798180 7141568389 14283136778 21424705167 28566273556 35707841945 42849410334 71415683890 85698820668 107123525835 142831367780 214247051670 428494103340