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41015434240 = 2105113372161
BaseRepresentation
bin100110001100101101…
…011101110000000000
310220212102202221102001
4212030231131300000
51132444422343430
630501531033344
72651254303324
oct461455356000
9126772687361
1041015434240
11164381638a0
127b47b9b854
133b38564921
141db13b5984
151100c163ca
hex98cb5dc00

41015434240 has 176 divisors, whose sum is σ = 107701742304. Its totient is φ = 14863564800.

The previous prime is 41015434237. The next prime is 41015434333. The reversal of 41015434240 is 4243451014.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 41015434199 and 41015434208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18978760 + ... + 18980920.

Almost surely, 241015434240 is an apocalyptic number.

41015434240 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 41015434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53850871152).

41015434240 is an abundant number, since it is smaller than the sum of its proper divisors (66686308064).

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

41015434240 is a wasteful number, since it uses less digits than its factorization.

41015434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 41015434240 its reverse (4243451014), we get a palindrome (45258885254).

The spelling of 41015434240 in words is "forty-one billion, fifteen million, four hundred thirty-four thousand, two hundred forty".