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200442033140124 = 223173314097257839
BaseRepresentation
bin101101100100110100001100…
…001011101111000110011100
3222021201001220220222011222210
4231210310030023233012130
5202233020240440440444
61550145444313440420
760135313303105536
oct5544641413570634
9867631826864883
10200442033140124
1158959a97215a86
121a593013410110
1387ac7aac5b169
14376d6363d8856
151828e55bcb7b9
hexb64d0c2ef19c

200442033140124 has 96 divisors (see below), whose sum is σ = 497920339123200. Its totient is φ = 62540499732480.

The previous prime is 200442033140117. The next prime is 200442033140137. The reversal of 200442033140124 is 421041330244002.

200442033140124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200442033140091 and 200442033140100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23988397 + ... + 31246235.

It is an arithmetic number, because the mean of its divisors is an integer number (5186670199200).

Almost surely, 2200442033140124 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 200442033140124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248960169561600).

200442033140124 is an abundant number, since it is smaller than the sum of its proper divisors (297478305983076).

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

200442033140124 is a wasteful number, since it uses less digits than its factorization.

200442033140124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7258603 (or 7258601 counting only the distinct ones).

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

Adding to 200442033140124 its reverse (421041330244002), we get a palindrome (621483363384126).

The spelling of 200442033140124 in words is "two hundred trillion, four hundred forty-two billion, thirty-three million, one hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 331 409 662 818 993 1227 1324 1636 1986 2454 3972 4908 5627 6953 11254 13906 16881 20859 22508 27812 33762 41718 67524 83436 135379 270758 406137 541516 812274 1624548 2301443 4602886 6904329 7257839 9205772 13808658 14515678 21773517 27617316 29031356 43547034 87094068 123383263 246766526 370149789 493533052 740299578 1480599156 2402344709 2968456151 4804689418 5936912302 7207034127 8905368453 9609378836 11873824604 14414068254 17810736906 28828136508 35621473812 40839860053 50463754567 81679720106 100927509134 122519580159 151391263701 163359440212 201855018268 245039160318 302782527402 490078320636 605565054804 982558985981 1965117971962 2947676957943 3930235943924 5895353915886 11790707831772 16703502761677 33407005523354 50110508285031 66814011046708 100221016570062 200442033140124