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20234230400000 = 210556323197
BaseRepresentation
bin1001001100111001001100…
…00111011000010000000000
32122122101002022021200100202
410212130212013120100000
510123004200440300000
6111011251020304332
74155606043411301
oct446344607302000
978571068250322
1020234230400000
1164a131a612411
1223296429a20a8
13b3a106258a66
144dd4b05547a8
1525151351add5
hex1267261d8400

20234230400000 has 132 divisors (see below), whose sum is σ = 50557648111236. Its totient is φ = 8093690880000.

The previous prime is 20234230399991. The next prime is 20234230400009. The reversal of 20234230400000 is 403243202.

It is an interprime number because it is at equal distance from previous prime (20234230399991) and next prime (20234230400009).

It can be written as a sum of positive squares in 6 ways, for example, as 15091422413824 + 5142807986176 = 3884768^2 + 2267776^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20234230400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38402 + ... + 6361598.

Almost surely, 220234230400000 is an apocalyptic number.

20234230400000 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 20234230400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25278824055618).

20234230400000 is an abundant number, since it is smaller than the sum of its proper divisors (30323417711236).

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

20234230400000 is an frugal number, since it uses more digits than its factorization.

20234230400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323242 (or 6323204 counting only the distinct ones).

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

Adding to 20234230400000 its reverse (403243202), we get a palindrome (20234633643202).

The spelling of 20234230400000 in words is "twenty trillion, two hundred thirty-four billion, two hundred thirty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 16000 20000 25000 25600 32000 40000 50000 64000 80000 100000 128000 160000 200000 320000 400000 640000 800000 1600000 3200000 6323197 12646394 25292788 31615985 50585576 63231970 101171152 126463940 158079925 202342304 252927880 316159850 404684608 505855760 632319700 790399625 809369216 1011711520 1264639400 1580799250 1618738432 2023423040 2529278800 3161598500 3237476864 3951998125 4046846080 5058557600 6323197000 6474953728 7903996250 8093692160 10117115200 12646394000 15807992500 16187384320 19759990625 20234230400 25292788000 31615985000 32374768640 39519981250 40468460800 50585576000 63231970000 79039962500 80936921600 101171152000 126463940000 158079925000 161873843200 202342304000 252927880000 316159850000 404684608000 505855760000 632319700000 809369216000 1011711520000 1264639400000 2023423040000 2529278800000 4046846080000 5058557600000 10117115200000 20234230400000