Search a number
-
+
4233410140224 = 263127174199721
BaseRepresentation
bin111101100110101010111…
…010000101100001000000
3112222201011122001100202110
4331212222322011201000
51023330010443441344
613000445103215320
7614565564315546
oct75465272054100
915881148040673
104233410140224
111392419728701
125845685a7540
13249293b46145
14108c80715d96
15751c26153b9
hex3d9aae85840

4233410140224 has 112 divisors (see below), whose sum is σ = 11295691237376. Its totient is φ = 1399207219200.

The previous prime is 4233410140207. The next prime is 4233410140231. The reversal of 4233410140224 is 4220410143324.

It is a super-5 number, since 5×42334101402245 (a number of 64 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4233410140191 and 4233410140200.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42402684 + ... + 42502404.

It is an arithmetic number, because the mean of its divisors is an integer number (100854386048).

Almost surely, 24233410140224 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 4233410140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647845618688).

4233410140224 is an abundant number, since it is smaller than the sum of its proper divisors (7062281097152).

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

4233410140224 is a wasteful number, since it uses less digits than its factorization.

4233410140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101604 (or 101594 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4233410140224 its reverse (4220410143324), we get a palindrome (8453820283548).

The spelling of 4233410140224 in words is "four trillion, two hundred thirty-three billion, four hundred ten million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 1741 2032 3048 3482 4064 5223 6096 6964 8128 10446 12192 13928 20892 24384 27856 41784 55712 83568 99721 111424 167136 199442 221107 299163 334272 398884 442214 598326 663321 797768 884428 1196652 1326642 1595536 1768856 2393304 2653284 3191072 3537712 4786608 5306568 6382144 7075424 9573216 10613136 12664567 14150848 19146432 21226272 25329134 37993701 42452544 50658268 75987402 101316536 151974804 173614261 202633072 303949608 347228522 405266144 520842783 607899216 694457044 810532288 1041685566 1215798432 1388914088 2083371132 2431596864 2777828176 4166742264 5555656352 8333484528 11111312704 16666969056 22049011147 33333938112 44098022294 66147033441 88196044588 132294066882 176392089176 264588133764 352784178352 529176267528 705568356704 1058352535056 1411136713408 2116705070112 4233410140224