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200240442240 = 2735104291897
BaseRepresentation
bin1011101001111101000…
…0101010101110000000
3201010212002201102020120
42322133100222232000
511240043023122430
6231553355340240
720316100450536
oct2723720525600
9633762642216
10200240442240
1177a15566aa3
1232984151680
1315b620963a7
149997dd0156
15531e61b610
hex2e9f42ab80

200240442240 has 64 divisors (see below), whose sum is σ = 638266415760. Its totient is φ = 53397450752.

The previous prime is 200240442221. The next prime is 200240442251. The reversal of 200240442240 is 42244042002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200240442240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52144029 + ... + 52147868.

Almost surely, 2200240442240 is an apocalyptic number.

200240442240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200240442240 is an abundant number, since it is smaller than the sum of its proper divisors (438025973520).

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

200240442240 is a wasteful number, since it uses less digits than its factorization.

200240442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104291919 (or 104291907 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 200240442240 its reverse (42244042002), we get a palindrome (242484484242).

The spelling of 200240442240 in words is "two hundred billion, two hundred forty million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 104291897 208583794 312875691 417167588 521459485 625751382 834335176 1042918970 1251502764 1564378455 1668670352 2085837940 2503005528 3128756910 3337340704 4171675880 5006011056 6257513820 6674681408 8343351760 10012022112 12515027640 13349362816 16686703520 20024044224 25030055280 33373407040 40048088448 50060110560 66746814080 100120221120 200240442240