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41140103400 = 2332521119109357
BaseRepresentation
bin100110010100001001…
…000010100011101000
310221012010100210100100
4212110021002203220
51133223331302100
630522143105400
72654330052264
oct462411024350
9127163323310
1041140103400
11164a1574660
127b818a2260
133b58334b66
141dc3b890a4
15110bb40400
hex9942428e8

41140103400 has 288 divisors, whose sum is σ = 158656586400. Its totient is φ = 9448358400.

The previous prime is 41140103393. The next prime is 41140103423. The reversal of 41140103400 is 430104114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 321522 + ... + 430878.

It is an arithmetic number, because the mean of its divisors is an integer number (550890925).

Almost surely, 241140103400 is an apocalyptic number.

41140103400 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 41140103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79328293200).

41140103400 is an abundant number, since it is smaller than the sum of its proper divisors (117516483000).

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

41140103400 is a wasteful number, since it uses less digits than its factorization.

41140103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109409 (or 109397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41140103400 its reverse (430104114), we get a palindrome (41570207514).

The spelling of 41140103400 in words is "forty-one billion, one hundred forty million, one hundred three thousand, four hundred".