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200240441320 = 23519357744953
BaseRepresentation
bin1011101001111101000…
…0101010011111101000
3201010212002201100222111
42322133100222133220
511240043023110240
6231553355332104
720316100445053
oct2723720523750
9633762640874
10200240441320
1177a15566337
1232984151034
1315b62095b4a
149997dcda9a
15531e61b1ea
hex2e9f42a7e8

200240441320 has 64 divisors (see below), whose sum is σ = 453670373520. Its totient is φ = 79541305344.

The previous prime is 200240441309. The next prime is 200240441369. The reversal of 200240441320 is 23144042002.

It is a happy number.

200240441320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 186795111204 + 13445330116 = 432198^2 + 115954^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200240441291 and 200240441300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4431964 + ... + 4476916.

Almost surely, 2200240441320 is an apocalyptic number.

200240441320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200240441320 is an abundant number, since it is smaller than the sum of its proper divisors (253429932200).

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

200240441320 is a wasteful number, since it uses less digits than its factorization.

200240441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45734 (or 45730 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 200240441320 its reverse (23144042002), we get a palindrome (223384483322).

The spelling of 200240441320 in words is "two hundred billion, two hundred forty million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 193 386 577 772 965 1154 1544 1930 2308 2885 3860 4616 5770 7720 11540 23080 44953 89906 111361 179812 222722 224765 359624 445444 449530 556805 890888 899060 1113610 1798120 2227220 4454440 8675929 17351858 25937881 34703716 43379645 51875762 69407432 86759290 103751524 129689405 173518580 207503048 259378810 347037160 518757620 1037515240 5006011033 10012022066 20024044132 25030055165 40048088264 50060110330 100120220660 200240441320