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41314111400 = 23521991038043
BaseRepresentation
bin100110011110100000…
…110100111110101000
310221122020210022110002
4212132200310332220
51134102403031100
630551320442132
72661542103242
oct463640647650
9127566708402
1041314111400
1116580814421
128010019348
133b853bb583
141ddcd23092
15111c0632d5
hex99e834fa8

41314111400 has 48 divisors (see below), whose sum is σ = 96538092000. Its totient is φ = 16442585280.

The previous prime is 41314111387. The next prime is 41314111441. The reversal of 41314111400 is 411141314.

41314111400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479222 + ... + 558821.

It is an arithmetic number, because the mean of its divisors is an integer number (2011210250).

Almost surely, 241314111400 is an apocalyptic number.

41314111400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41314111400 is an abundant number, since it is smaller than the sum of its proper divisors (55223980600).

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

41314111400 is a wasteful number, since it uses less digits than its factorization.

41314111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038258 (or 1038249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 41314111400 its reverse (411141314), we get a palindrome (41725252714).

The spelling of 41314111400 in words is "forty-one billion, three hundred fourteen million, one hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 796 995 1592 1990 3980 4975 7960 9950 19900 39800 1038043 2076086 4152172 5190215 8304344 10380430 20760860 25951075 41521720 51902150 103804300 206570557 207608600 413141114 826282228 1032852785 1652564456 2065705570 4131411140 5164263925 8262822280 10328527850 20657055700 41314111400