Search a number
-
+
4234423301240 = 2351131400177591
BaseRepresentation
bin111101100111100111010…
…010111111010001111000
3112222210210020111021101112
4331213213102333101320
51023334044331114430
613001133414535452
7614632646123006
oct75474722772170
915883706437345
104234423301240
111392899620560
125847ab967588
132493c5a108c2
14108d390cba76
1575231546195
hex3d9e74bf478

4234423301240 has 128 divisors (see below), whose sum is σ = 10731681239040. Its totient is φ = 1489728000000.

The previous prime is 4234423301219. The next prime is 4234423301243. The reversal of 4234423301240 is 421033244324.

It is a junction number, because it is equal to n+sod(n) for n = 4234423301197 and 4234423301206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234423301243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54534845 + ... + 54612435.

It is an arithmetic number, because the mean of its divisors is an integer number (83841259680).

Almost surely, 24234423301240 is an apocalyptic number.

4234423301240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234423301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365840619520).

4234423301240 is an abundant number, since it is smaller than the sum of its proper divisors (6497257937800).

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

4234423301240 is a wasteful number, since it uses less digits than its factorization.

4234423301240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81645 (or 81641 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4234423301240 its reverse (421033244324), we get a palindrome (4655456545564).

The spelling of 4234423301240 in words is "four trillion, two hundred thirty-four billion, four hundred twenty-three million, three hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 4001 6820 8002 13640 16004 20005 32008 40010 44011 77591 80020 88022 124031 155182 160040 176044 220055 248062 310364 352088 387955 440110 496124 620155 620728 775910 853501 880220 992248 1240310 1364341 1551820 1707002 1760440 2405321 2480620 2728682 3103640 3414004 4267505 4810642 4961240 5457364 6821705 6828008 8535010 9621284 10914728 12026605 13643410 17070020 19242568 24053210 26458531 27286820 34140040 48106420 52917062 54573640 96212840 105834124 132292655 211668248 264585310 310441591 529170620 620883182 1058341240 1241766364 1552207955 2483532728 3104415910 3414857501 6208831820 6829715002 9623689321 12417663640 13659430004 17074287505 19247378642 27318860008 34148575010 38494757284 48118446605 68297150020 76989514568 96236893210 105860582531 136594300040 192473786420 211721165062 384947572840 423442330124 529302912655 846884660248 1058605825310 2117211650620 4234423301240