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230342001444 = 2232232927734631
BaseRepresentation
bin1101011010000101110…
…1000000001100100100
3211000112221010001122200
43112201131000030210
512233220023021234
6253452340254500
722433042464422
oct3264135001444
9730487101580
10230342001444
1189762066a55
12387850a1430
131894b4c9899
14b211b14112
155ed2106d99
hex35a1740324

230342001444 has 144 divisors (see below), whose sum is σ = 630806641920. Its totient is φ = 70651848960.

The previous prime is 230342001437. The next prime is 230342001511. The reversal of 230342001444 is 444100243032.

It is a happy number.

230342001444 is a `hidden beast` number, since 230 + 3 + 420 + 0 + 1 + 4 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6634009 + ... + 6668639.

It is an arithmetic number, because the mean of its divisors is an integer number (4380601680).

Almost surely, 2230342001444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230342001444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315403320960).

230342001444 is an abundant number, since it is smaller than the sum of its proper divisors (400464640476).

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

230342001444 is a wasteful number, since it uses less digits than its factorization.

230342001444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34970 (or 34965 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 230342001444 its reverse (444100243032), we get a palindrome (674442244476).

The spelling of 230342001444 in words is "two hundred thirty billion, three hundred forty-two million, one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 277 348 414 522 554 667 828 831 1044 1108 1334 1662 2001 2493 2668 3324 4002 4986 6003 6371 8004 8033 9972 12006 12742 16066 19113 24012 24099 25484 32132 34631 38226 48198 57339 69262 72297 76452 96396 103893 114678 138524 144594 184759 207786 229356 289188 311679 369518 415572 554277 623358 739036 796513 1004299 1108554 1246716 1593026 1662831 2008598 2217108 2389539 3012897 3186052 3325662 4017196 4779078 6025794 6651324 7168617 9038691 9558156 9592787 12051588 14337234 18077382 19185574 23098877 28674468 28778361 36154764 38371148 46197754 57556722 69296631 86335083 92395508 115113444 138593262 172670166 207889893 220634101 277186524 278190823 345340332 415779786 441268202 556381646 661902303 831559572 834572469 882536404 1112763292 1323804606 1669144938 1985706909 2503717407 2647609212 3338289876 3971413818 5007434814 6398388929 7942827636 10014869628 12796777858 19195166787 25593555716 38390333574 57585500361 76780667148 115171000722 230342001444