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41344321300 = 225217109347643
BaseRepresentation
bin100110100000010100…
…000100011100010100
310221201100122010122021
4212200110010130110
51134133121240200
630554320142524
72662356634612
oct464024043424
9127640563567
1041344321300
1116596878587
12801a167a44
133b8b737c59
142002d486b2
15111ea2e41a
hex9a0504714

41344321300 has 144 divisors (see below), whose sum is σ = 96291961920. Its totient is φ = 15353763840.

The previous prime is 41344321297. The next prime is 41344321307. The reversal of 41344321300 is 312344314.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41344321307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64298779 + ... + 64299421.

It is an arithmetic number, because the mean of its divisors is an integer number (668694180).

Almost surely, 241344321300 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 41344321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48145980960).

41344321300 is an abundant number, since it is smaller than the sum of its proper divisors (54947640620).

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

41344321300 is a wasteful number, since it uses less digits than its factorization.

41344321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 41344321300 its reverse (312344314), we get a palindrome (41656665614).

The spelling of 41344321300 in words is "forty-one billion, three hundred forty-four million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 109 170 218 340 347 425 436 545 643 694 850 1090 1286 1388 1700 1735 1853 2180 2572 2725 3215 3470 3706 5450 5899 6430 6940 7412 8675 9265 10900 10931 11798 12860 16075 17350 18530 21862 23596 29495 32150 34700 37060 37823 43724 46325 54655 58990 64300 70087 75646 92650 109310 117980 140174 147475 151292 185300 189115 218620 223121 273275 280348 294950 350435 378230 446242 546550 589900 642991 700870 756460 892484 945575 1093100 1115605 1191479 1285982 1401740 1752175 1891150 2231210 2382958 2571964 3214955 3504350 3782300 3793057 4462420 4765916 5578025 5957395 6429910 7008700 7586114 11156050 11914790 12859820 15172228 16074775 18965285 22312100 23829580 24320189 29786975 32149550 37930570 48640378 59573950 64299100 75861140 94826425 97280756 119147900 121600945 189652850 243201890 379305700 413443213 486403780 608004725 826886426 1216009450 1653772852 2067216065 2432018900 4134432130 8268864260 10336080325 20672160650 41344321300