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41445112300 = 22521947487953
BaseRepresentation
bin100110100110010100…
…100011100111101100
310221222101021211220021
4212212110203213230
51134334422043200
631012320331524
72665022433124
oct464624434754
9127871254807
1041445112300
111663875a329
128047a73ba4
133ba65977b7
1420124a3c84
1511287dd41a
hex9a65239ec

41445112300 has 144 divisors (see below), whose sum is σ = 96983792640. Its totient is φ = 15323696640.

The previous prime is 41445112297. The next prime is 41445112321. The reversal of 41445112300 is 321154414.

41445112300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414451123002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43488624 + ... + 43489576.

It is an arithmetic number, because the mean of its divisors is an integer number (673498560).

Almost surely, 241445112300 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 41445112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48491896320).

41445112300 is an abundant number, since it is smaller than the sum of its proper divisors (55538680340).

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

41445112300 is a wasteful number, since it uses less digits than its factorization.

41445112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 41445112300 its reverse (321154414), we get a palindrome (41766266714).

The spelling of 41445112300 in words is "forty-one billion, four hundred forty-five million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 47 50 76 94 95 100 188 190 235 380 470 475 487 893 940 950 953 974 1175 1786 1900 1906 1948 2350 2435 3572 3812 4465 4700 4765 4870 8930 9253 9530 9740 12175 17860 18107 18506 19060 22325 22889 23825 24350 36214 37012 44650 44791 45778 46265 47650 48700 72428 89300 89582 90535 91556 92530 95300 114445 179164 181070 185060 223955 228890 231325 362140 434891 447910 452675 457780 462650 464111 572225 851029 869782 895820 905350 925300 928222 1119775 1144450 1702058 1739564 1810700 1856444 2174455 2239550 2288900 2320555 3404116 4255145 4348910 4479100 4641110 8510290 8697820 8818109 9282220 10872275 11602775 17020580 17636218 21275725 21744550 21813217 23205550 35272436 42551450 43489100 43626434 44090545 46411100 85102900 87252868 88181090 109066085 176362180 218132170 220452725 414451123 436264340 440905450 545330425 828902246 881810900 1090660850 1657804492 2072255615 2181321700 4144511230 8289022460 10361278075 20722556150 41445112300