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4234144233220 = 22511432503178819
BaseRepresentation
bin111101100111010110101…
…010011011011100000100
3112222210001210101011000221
4331213112222123130010
51023333011410430340
613001050005314124
7614623020103426
oct75472652333404
915883053334027
104234144233220
111392766043630
12584732405944
1324937cc614b5
14108d10006816
1575216cbe44a
hex3d9d6a9b704

4234144233220 has 96 divisors (see below), whose sum is σ = 9929642849280. Its totient is φ = 1503272856960.

The previous prime is 4234144233197. The next prime is 4234144233227. The reversal of 4234144233220 is 223324414324.

It is not an unprimeable number, because it can be changed into a prime (4234144233227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23588971 + ... + 23767789.

It is an arithmetic number, because the mean of its divisors is an integer number (103433779680).

Almost surely, 24234144233220 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 4234144233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964821424640).

4234144233220 is an abundant number, since it is smaller than the sum of its proper divisors (5695498616060).

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

4234144233220 is a wasteful number, since it uses less digits than its factorization.

4234144233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181385 (or 181383 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 4234144233220 its reverse (223324414324), we get a palindrome (4457468647544).

The spelling of 4234144233220 in words is "four trillion, two hundred thirty-four billion, one hundred forty-four million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 2503 4730 5006 9460 10012 12515 25030 27533 50060 55066 107629 110132 137665 178819 215258 275330 357638 430516 538145 550660 715276 894095 1076290 1183919 1788190 1967009 2152580 2367838 3576380 3934018 4735676 5919595 7689217 7868036 9835045 11839190 15378434 19670090 23678380 30756868 38446085 39340180 76892170 84581387 153784340 169162774 338325548 422906935 447583957 845813870 895167914 1691627740 1790335828 2237919785 4475839570 4923423527 8951679140 9846847054 19246110151 19693694108 24617117635 38492220302 49234235270 76984440604 96230550755 98468470540 192461101510 211707211661 384922203020 423414423322 846828846644 1058536058305 2117072116610 4234144233220