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230143322440000 = 265418233156107
BaseRepresentation
bin110100010101000001101010…
…111110110100000101000000
31010011212111010211210010200001
4310111001222332310011000
5220131132011021040000
62133250214402005344
766322210034446234
oct6425015276640500
91104774124703601
10230143322440000
1167370264769922
122198b399046854
139b555646cb338
1440b8dd397a5c4
151b918515c146a
hexd1506afb4140

230143322440000 has 140 divisors (see below), whose sum is σ = 570993868773504. Its totient is φ = 92006802112000.

The previous prime is 230143322439991. The next prime is 230143322440001. The reversal of 230143322440000 is 44223341032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230143322440001) 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, 71341947 + ... + 74498053.

Almost surely, 2230143322440000 is an apocalyptic number.

230143322440000 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 230143322440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285496934386752).

230143322440000 is an abundant number, since it is smaller than the sum of its proper divisors (340850546333504).

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

230143322440000 is an equidigital number, since it uses as much as digits as its factorization.

230143322440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157962 (or 3157937 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 230143322440000 its reverse (44223341032), we get a palindrome (230187545781032).

The spelling of 230143322440000 in words is "two hundred thirty trillion, one hundred forty-three billion, three hundred twenty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 1823 2000 2500 3646 4000 5000 7292 8000 9115 10000 14584 18230 20000 29168 36460 40000 45575 58336 72920 91150 116672 145840 182300 227875 291680 364600 455750 583360 729200 911500 1139375 1458400 1823000 2278750 2916800 3156107 3646000 4557500 6312214 7292000 9115000 12624428 14584000 15780535 18230000 25248856 31561070 36460000 50497712 63122140 72920000 78902675 100995424 126244280 157805350 201990848 252488560 315610700 394513375 504977120 631221400 789026750 1009954240 1262442800 1578053500 1972566875 2524885600 3156107000 3945133750 5049771200 5753583061 6312214000 7890267500 11507166122 12624428000 15780535000 23014332244 25248856000 28767915305 31561070000 46028664488 57535830610 63122140000 92057328976 115071661220 126244280000 143839576525 184114657952 230143322440 287679153050 368229315904 460286644880 575358306100 719197882625 920573289760 1150716612200 1438395765250 1841146579520 2301433224400 2876791530500 3595989413125 4602866448800 5753583061000 7191978826250 9205732897600 11507166122000 14383957652500 23014332244000 28767915305000 46028664488000 57535830610000 115071661220000 230143322440000