Search a number
-
+
204440303440000 = 27542791915623
BaseRepresentation
bin101110011110111111110111…
…101010100001000010000000
3222210212022011020221000102101
4232132333313222201002000
5203244022220140040000
62002450325010200144
761030216205650315
oct5636776752410200
9883768136830371
10204440303440000
115a1607115a9311
121ab19a97b83054
138a0c83a5ab9a4
14386ad6bb20d0c
151897e64db7e6a
hexb9eff7aa1080

204440303440000 has 160 divisors (see below), whose sum is σ = 509124264834240. Its totient is φ = 81746732160000.

The previous prime is 204440303439961. The next prime is 204440303440049. The reversal of 204440303440000 is 44303044402.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222822189 + ... + 223737811.

It is an arithmetic number, because the mean of its divisors is an integer number (3182026655214).

Almost surely, 2204440303440000 is an apocalyptic number.

204440303440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204440303440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254562132417120).

204440303440000 is an abundant number, since it is smaller than the sum of its proper divisors (304683961394240).

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

204440303440000 is an frugal number, since it uses more digits than its factorization.

204440303440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918448 (or 918421 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 204440303440000 its reverse (44303044402), we get a palindrome (204484606484402).

The spelling of 204440303440000 in words is "two hundred four trillion, four hundred forty billion, three hundred three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 2791 3200 4000 5000 5582 8000 10000 11164 13955 16000 20000 22328 27910 40000 44656 55820 69775 80000 89312 111640 139550 178624 223280 279100 348875 357248 446560 558200 697750 893120 915623 1116400 1395500 1744375 1786240 1831246 2232800 2791000 3488750 3662492 4465600 4578115 5582000 6977500 7324984 8931200 9156230 11164000 13955000 14649968 18312460 22328000 22890575 27910000 29299936 36624920 44656000 45781150 55820000 58599872 73249840 91562300 111640000 114452875 117199744 146499680 183124600 223280000 228905750 292999360 366249200 457811500 572264375 585998720 732498400 915623000 1144528750 1464996800 1831246000 2289057500 2555503793 2929993600 3662492000 4578115000 5111007586 7324984000 9156230000 10222015172 12777518965 14649968000 18312460000 20444030344 25555037930 36624920000 40888060688 51110075860 63887594825 73249840000 81776121376 102220151720 127775189650 163552242752 204440303440 255550379300 319437974125 327104485504 408880606880 511100758600 638875948250 817761213760 1022201517200 1277751896500 1597189870625 1635522427520 2044403034400 2555503793000 3194379741250 4088806068800 5111007586000 6388759482500 8177612137600 10222015172000 12777518965000 20444030344000 25555037930000 40888060688000 51110075860000 102220151720000 204440303440000