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41142234110432 = 25713311672729093
BaseRepresentation
bin10010101101011001011000…
…01111111101100111100000
312101200011022000220212220112
421112230230033331213200
520343033243413013212
6223300251553230452
711444266625556410
oct1126545417754740
9171604260825815
1041142234110432
1112122361641364
124745782b62428
1319c590823a810
14a2341ab4a640
154b530d3ad422
hex256b2c3fd9e0

41142234110432 has 192 divisors, whose sum is σ = 103522875531264. Its totient is φ = 15656691640320.

The previous prime is 41142234110423. The next prime is 41142234110443. The reversal of 41142234110432 is 23401143224114.

It is a super-3 number, since 3×411422341104323 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13710878 + ... + 16439970.

It is an arithmetic number, because the mean of its divisors is an integer number (539181643392).

Almost surely, 241142234110432 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 41142234110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51761437765632).

41142234110432 is an abundant number, since it is smaller than the sum of its proper divisors (62380641420832).

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

41142234110432 is a wasteful number, since it uses less digits than its factorization.

41142234110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729321 (or 2729313 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 41142234110432 its reverse (23401143224114), we get a palindrome (64543377334546).

The spelling of 41142234110432 in words is "forty-one trillion, one hundred forty-two billion, two hundred thirty-four million, one hundred ten thousand, four hundred thirty-two".