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2042430230000 = 2454227899749
BaseRepresentation
bin11101101110001010010…
…101000000110111110000
321020020212110210212022002
4131232022111000313300
5231430344114330000
64202140212033132
7300363216336356
oct35561225006760
97206773725262
102042430230000
1171820a689676
1228ba059027a8
1311a7a5c58144
1470bd5b097d6
15381dd00c8d5
hex1db8a540df0

2042430230000 has 100 divisors (see below), whose sum is σ = 4966717173000. Its totient is φ = 813372192000.

The previous prime is 2042430229997. The next prime is 2042430230003. The reversal of 2042430230000 is 320342402.

It is an interprime number because it is at equal distance from previous prime (2042430229997) and next prime (2042430230003).

It is a tau number, because it is divible by the number of its divisors (100).

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 (2042430230003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1820126 + ... + 2719874.

It is an arithmetic number, because the mean of its divisors is an integer number (49667171730).

Almost surely, 22042430230000 is an apocalyptic number.

2042430230000 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 2042430230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483358586500).

2042430230000 is an abundant number, since it is smaller than the sum of its proper divisors (2924286943000).

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

2042430230000 is an equidigital number, since it uses as much as digits as its factorization.

2042430230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900004 (or 899983 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2042430230000 its reverse (320342402), we get a palindrome (2042750572402).

The spelling of 2042430230000 in words is "two trillion, forty-two billion, four hundred thirty million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 227 250 400 454 500 625 908 1000 1135 1250 1816 2000 2270 2500 3632 4540 5000 5675 9080 10000 11350 18160 22700 28375 45400 56750 90800 113500 141875 227000 283750 454000 567500 899749 1135000 1799498 2270000 3598996 4498745 7197992 8997490 14395984 17994980 22493725 35989960 44987450 71979920 89974900 112468625 179949800 204243023 224937250 359899600 408486046 449874500 562343125 816972092 899749000 1021215115 1124686250 1633944184 1799498000 2042430230 2249372500 3267888368 4084860460 4498745000 5106075575 8169720920 8997490000 10212151150 16339441840 20424302300 25530377875 40848604600 51060755750 81697209200 102121511500 127651889375 204243023000 255303778750 408486046000 510607557500 1021215115000 2042430230000