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30241200040 = 23517534871723
BaseRepresentation
bin11100001010100001…
…000001011110101000
32220001120011010121221
4130022201001132220
5443413221400130
621520445511424
72120255646652
oct341241013650
986046133557
1030241200040
1111909407207
125a3b872574
132b0c34620c
14166c4b36d2
15bbedc087a
hex70a8417a8

30241200040 has 128 divisors (see below), whose sum is σ = 73597973760. Its totient is φ = 11140706304.

The previous prime is 30241200037. The next prime is 30241200097. The reversal of 30241200040 is 4000214203.

It is a junction number, because it is equal to n+sod(n) for n = 30241199987 and 30241200023.

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, 17550619 + ... + 17552341.

It is an arithmetic number, because the mean of its divisors is an integer number (574984170).

Almost surely, 230241200040 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 30241200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36798986880).

30241200040 is an abundant number, since it is smaller than the sum of its proper divisors (43356773720).

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

30241200040 is a wasteful number, since it uses less digits than its factorization.

30241200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30241200040 its reverse (4000214203), we get a palindrome (34241414243).

The spelling of 30241200040 in words is "thirty billion, two hundred forty-one million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 487 530 680 901 974 1060 1723 1802 1948 2120 2435 3446 3604 3896 4505 4870 6892 7208 8279 8615 9010 9740 13784 16558 17230 18020 19480 25811 29291 33116 34460 36040 41395 51622 58582 66232 68920 82790 91319 103244 117164 129055 146455 165580 182638 206488 234328 258110 292910 331160 365276 438787 456595 516220 585820 730552 839101 877574 913190 1032440 1171640 1552423 1678202 1755148 1826380 2193935 3104846 3356404 3510296 3652760 4195505 4387870 6209692 6712808 7762115 8391010 8775740 12419384 14264717 15524230 16782020 17551480 28529434 31048460 33564040 44472353 57058868 62096920 71323585 88944706 114117736 142647170 177889412 222361765 285294340 355778824 444723530 570588680 756030001 889447060 1512060002 1778894120 3024120004 3780150005 6048240008 7560300010 15120600020 30241200040