Search a number
-
+
4330143233332 = 2272297481101833
BaseRepresentation
bin111111000000110000101…
…001100011010100110100
3120022221212010102122020121
4333000300221203110310
51031421113131431312
613113123525141324
7624561662122300
oct77006051432464
916287763378217
104330143233332
11141a448a72254
1259b26425a844
1325543b88c387
1410d819932d00
1577984b37707
hex3f030a63534

4330143233332 has 72 divisors (see below), whose sum is σ = 9120206196360. Its totient is φ = 1791526302720.

The previous prime is 4330143233321. The next prime is 4330143233333. The reversal of 4330143233332 is 2333323410334.

It can be written as a sum of positive squares in 4 ways, for example, as 2196691551376 + 2133451681956 = 1482124^2 + 1460634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330143233333) 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, 42471088 + ... + 42572920.

It is an arithmetic number, because the mean of its divisors is an integer number (126669530505).

Almost surely, 24330143233332 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 4330143233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560103098180).

4330143233332 is an abundant number, since it is smaller than the sum of its proper divisors (4790062963028).

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

4330143233332 is a wasteful number, since it uses less digits than its factorization.

4330143233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109361 (or 109352 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 34.

Adding to 4330143233332 its reverse (2333323410334), we get a palindrome (6663466643666).

The spelling of 4330143233332 in words is "four trillion, three hundred thirty billion, one hundred forty-three million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2842 5684 7481 14962 29924 52367 101833 104734 203666 209468 216949 366569 407332 433898 712831 733138 867796 1425662 1466276 1518643 2851324 2953157 3037286 4989817 5906314 6074572 9979634 10630501 11812628 19959268 20672099 21261002 41344198 42522004 82688396 144704693 289409386 578818772 761812673 1523625346 3047250692 5332688711 10665377422 21330754844 22092567517 37328820977 44185135034 74657641954 88370270068 149315283908 154647972619 309295945238 618591890476 1082535808333 2165071616666 4330143233332