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324030411243040 = 25522910453846037
BaseRepresentation
bin100100110101101000011010…
…1100011101111111000100000
31120111022000010111020000012211
41021223100311203233320200
5314432403240234234130
63105053303234531504
7125152265442023215
oct11153206543577040
91514260114200184
10324030411243040
1194278586767137
1230413321136b94
1310ba5c23b26238
145a03226ccbb0c
15276db9445da2a
hex126b4358efe20

324030411243040 has 96 divisors (see below), whose sum is σ = 768939200048880. Its totient is φ = 129033674625024.

The previous prime is 324030411243029. The next prime is 324030411243041. The reversal of 324030411243040 is 40342114030423.

It can be written as a sum of positive squares in 8 ways, for example, as 298826677852816 + 25203733390224 = 17286604^2 + 5020332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 324030411242993 and 324030411243011.

It is not an unprimeable number, because it can be changed into a prime (324030411243041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382574902 + ... + 383420938.

Almost surely, 2324030411243040 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 324030411243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384469600024440).

324030411243040 is an abundant number, since it is smaller than the sum of its proper divisors (444908788805840).

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

324030411243040 is a wasteful number, since it uses less digits than its factorization.

324030411243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856734 (or 856726 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 324030411243040 its reverse (40342114030423), we get a palindrome (364372525273463).

The spelling of 324030411243040 in words is "three hundred twenty-four trillion, thirty billion, four hundred eleven million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 916 1145 1832 2290 3664 4580 7328 9160 10453 18320 20906 36640 41812 52265 83624 104530 167248 209060 334496 418120 836240 846037 1672480 1692074 2393737 3384148 4230185 4787474 6768296 8460370 9574948 11968685 13536592 16920740 19149896 23937370 27073184 33841480 38299792 47874740 67682960 76599584 95749480 135365920 191498960 193742473 382997920 387484946 774969892 968712365 1549939784 1937424730 3099879568 3874849460 6199759136 7749698920 8843624761 15499397840 17687249522 30998795680 35374499044 44218123805 70748998088 88436247610 141497996176 176872495220 282995992352 353744990440 707489980880 1414979961760 2025190070269 4050380140538 8100760281076 10125950351345 16201520562152 20251900702690 32403041124304 40503801405380 64806082248608 81007602810760 162015205621520 324030411243040