Search a number
-
+
4322031143112 = 2332713527239713
BaseRepresentation
bin111110111001001101001…
…000011000100011001000
3120022011220210002202110200
4332321031020120203020
51031303004433034422
613105302543012200
7624153650363424
oct76711510304310
916264823082420
104322031143112
111416a659a5861
1259977b59a060
132547480616a7
1410d28a40bb84
157765c89a2ac
hex3ee4d2188c8

4322031143112 has 96 divisors (see below), whose sum is σ = 11873782327680. Its totient is φ = 1419977180160.

The previous prime is 4322031143107. The next prime is 4322031143117. The reversal of 4322031143112 is 2113411302234.

4322031143112 is a `hidden beast` number, since 4 + 3 + 2 + 203 + 11 + 431 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (4322031143107) and next prime (4322031143117).

It is not an unprimeable number, because it can be changed into a prime (4322031143117) 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 23 ways as a sum of consecutive naturals, for example, 17910168 + ... + 18149880.

It is an arithmetic number, because the mean of its divisors is an integer number (123685232580).

Almost surely, 24322031143112 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 4322031143112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936891163840).

4322031143112 is an abundant number, since it is smaller than the sum of its proper divisors (7551751184568).

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

4322031143112 is a wasteful number, since it uses less digits than its factorization.

4322031143112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243323 (or 243316 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4322031143112 its reverse (2113411302234), we get a palindrome (6435442445346).

The spelling of 4322031143112 in words is "four trillion, three hundred twenty-two billion, thirty-one million, one hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 3527 5112 7054 10581 14108 21162 28216 31743 42324 63486 84648 126972 239713 250417 253944 479426 500834 719139 751251 958852 1001668 1438278 1502502 1917704 2003336 2157417 2253753 2876556 3005004 4314834 4507506 5753112 6010008 8629668 9015012 17019623 17259336 18030024 34039246 51058869 68078492 102117738 136156984 153176607 204235476 306353214 408470952 612706428 845467751 1225412856 1690935502 2536403253 3381871004 5072806506 6763742008 7609209759 10145613012 15218419518 20291226024 30436839036 60028210321 60873678072 120056420642 180084630963 240112841284 360169261926 480225682568 540253892889 720338523852 1080507785778 1440677047704 2161015571556 4322031143112