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41151402432 = 2633728112107
BaseRepresentation
bin100110010100110100…
…001001000111000000
310221012220121211201000
4212110310021013000
51133234224334212
630523225212000
72654525102130
oct462464110700
9127186554630
1041151402432
11164a79917a8
127b85631000
133b5a78ca8a
141dc548aac0
15110cb231dc
hex994d091c0

41151402432 has 224 divisors, whose sum is σ = 138763491840. Its totient is φ = 11714734080.

The previous prime is 41151402421. The next prime is 41151402503. The reversal of 41151402432 is 23420415114.

41151402432 is a `hidden beast` number, since 41 + 151 + 40 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41151402396 and 41151402405.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3392923 + ... + 3405029.

Almost surely, 241151402432 is an apocalyptic number.

41151402432 is a gapful number since it is divisible by the number (42) 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 41151402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69381745920).

41151402432 is an abundant number, since it is smaller than the sum of its proper divisors (97612089408).

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

41151402432 is a wasteful number, since it uses less digits than its factorization.

41151402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12416 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41151402432 its reverse (23420415114), we get a palindrome (64571817546).

The spelling of 41151402432 in words is "forty-one billion, one hundred fifty-one million, four hundred two thousand, four hundred thirty-two".