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1030040304000 = 2735321459173
BaseRepresentation
bin11101111110100110010…
…11111011100110000000
310122110201021112222112220
432333103023323212000
5113334010304212000
62105105522251040
7134263234060161
oct16772313734600
93573637488486
101030040304000
11367923997a14
121477664b6a80
1376194b02956
1437bd5d83768
151bbd8ba21a0
hexefd32fb980

1030040304000 has 128 divisors (see below), whose sum is σ = 3414583766880. Its totient is φ = 274677401600.

The previous prime is 1030040303987. The next prime is 1030040304037. The reversal of 1030040304000 is 4030400301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10681587 + ... + 10777586.

Almost surely, 21030040304000 is an apocalyptic number.

1030040304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030040304000 is an abundant number, since it is smaller than the sum of its proper divisors (2384543462880).

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

1030040304000 is an equidigital number, since it uses as much as digits as its factorization.

1030040304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21459205 (or 21459183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1030040304000 its reverse (4030400301), we get a palindrome (1034070704301).

The spelling of 1030040304000 in words is "one trillion, thirty billion, forty million, three hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 21459173 42918346 64377519 85836692 107295865 128755038 171673384 214591730 257510076 321887595 343346768 429183460 515020152 536479325 643775190 686693536 858366920 1030040304 1072958650 1287550380 1373387072 1609437975 1716733840 2060080608 2145917300 2575100760 2682396625 2746774144 3218875950 3433467680 4120161216 4291834600 5150201520 5364793250 6437751900 6866935360 8047189875 8240322432 8583669200 10300403040 10729586500 12875503800 13733870720 16094379750 17167338400 20600806080 21459173000 25751007600 32188759500 34334676800 41201612160 42918346000 51502015200 64377519000 68669353600 85836692000 103004030400 128755038000 171673384000 206008060800 257510076000 343346768000 515020152000 1030040304000