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1024123430000 = 2454112846383
BaseRepresentation
bin11101110011100101000…
…00110110010001110000
310121220102220220122022102
432321302200312101300
5113234401044230000
62102250435155532
7133663506344516
oct16716240662160
93556386818272
101024123430000
11365367a82a00
12146594a45ba8
1375761020088
14377d42124b6
151b98e4d93d5
hexee72836470

1024123430000 has 150 divisors (see below), whose sum is σ = 2725409802192. Its totient is φ = 372408080000.

The previous prime is 1024123429969. The next prime is 1024123430009. The reversal of 1024123430000 is 343214201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024123430009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 786809 + ... + 1633191.

Almost surely, 21024123430000 is an apocalyptic number.

1024123430000 is a gapful number since it is divisible by the number (10) 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 1024123430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362704901096).

1024123430000 is an abundant number, since it is smaller than the sum of its proper divisors (1701286372192).

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

1024123430000 is an equidigital number, since it uses as much as digits as its factorization.

1024123430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846433 (or 846401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1024123430000 its reverse (343214201), we get a palindrome (1024466644201).

The spelling of 1024123430000 in words is "one trillion, twenty-four billion, one hundred twenty-three million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 48400 55000 60500 75625 110000 121000 151250 242000 302500 605000 846383 1210000 1692766 3385532 4231915 6771064 8463830 9310213 13542128 16927660 18620426 21159575 33855320 37240852 42319150 46551065 67710640 74481704 84638300 93102130 102412343 105797875 148963408 169276600 186204260 204824686 211595750 232755325 338553200 372408520 409649372 423191500 465510650 512061715 528989375 744817040 819298744 846383000 931021300 1024123430 1057978750 1163776625 1638597488 1692766000 1862042600 2048246860 2115957500 2327553250 2560308575 3724085200 4096493720 4231915000 4655106500 5120617150 5818883125 8192987440 8463830000 9310213000 10241234300 11637766250 12801542875 18620426000 20482468600 23275532500 25603085750 40964937200 46551065000 51206171500 64007714375 93102130000 102412343000 128015428750 204824686000 256030857500 512061715000 1024123430000