Search a number
-
+
4125344253400 = 2352971671273333
BaseRepresentation
bin111100000010000001101…
…011011100010111011000
3112121101020100000111212201
4330002001223130113120
51020042201112102100
612435053524215544
7604021606404166
oct74020153342730
915541210014781
104125344253400
111350604313437
1256762953a5b4
1323c031265006
1410394c35a236
157249a21836a
hex3c081adc5d8

4125344253400 has 96 divisors (see below), whose sum is σ = 9748339503840. Its totient is φ = 1623345500160.

The previous prime is 4125344253353. The next prime is 4125344253461. The reversal of 4125344253400 is 43524435214.

It is a self number, because there is not a number n which added to its sum of digits gives 4125344253400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2603134 + ... + 3876466.

It is an arithmetic number, because the mean of its divisors is an integer number (101545203165).

Almost surely, 24125344253400 is an apocalyptic number.

4125344253400 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 4125344253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874169751920).

4125344253400 is an abundant number, since it is smaller than the sum of its proper divisors (5622995250440).

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

4125344253400 is a wasteful number, since it uses less digits than its factorization.

4125344253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273613 (or 1273604 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 4125344253400 its reverse (43524435214), we get a palindrome (4168868688614).

The spelling of 4125344253400 in words is "four trillion, one hundred twenty-five billion, three hundred forty-four million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 167 194 200 334 388 485 668 776 835 970 1336 1670 1940 2425 3340 3880 4175 4850 6680 8350 9700 16199 16700 19400 32398 33400 64796 80995 129592 161990 323980 404975 647960 809950 1273333 1619900 2546666 3239800 5093332 6366665 10186664 12733330 25466660 31833325 50933320 63666650 123513301 127333300 212646611 247026602 254666600 425293222 494053204 617566505 850586444 988106408 1063233055 1235133010 1701172888 2126466110 2470266020 3087832525 4252932220 4940532040 5316165275 6175665050 8505864440 10632330550 12351330100 20626721267 21264661100 24702660200 41253442534 42529322200 82506885068 103133606335 165013770136 206267212670 412534425340 515668031675 825068850680 1031336063350 2062672126700 4125344253400