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41450014008 = 23341353263353
BaseRepresentation
bin100110100110100111…
…010000010100111000
310221222201111212210000
4212212213100110320
51134342200422013
631013013353000
72665112206614
oct464647202470
9127881455700
1041450014008
11166404a8027
128049638760
133ba75c2910
142012dbc344
151128e5a973
hex9a69d0538

41450014008 has 320 divisors, whose sum is σ = 128234715840. Its totient is φ = 12430319616.

The previous prime is 41450013973. The next prime is 41450014009. The reversal of 41450014008 is 80041005414.

It is a happy number.

41450014008 is a `hidden beast` number, since 4 + 14 + 500 + 140 + 0 + 8 = 666.

It is a super-2 number, since 2×414500140082 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41450014009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117421960 + ... + 117422312.

It is an arithmetic number, because the mean of its divisors is an integer number (400733487).

Almost surely, 241450014008 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 41450014008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64117357920).

41450014008 is an abundant number, since it is smaller than the sum of its proper divisors (86784701832).

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

41450014008 is a wasteful number, since it uses less digits than its factorization.

41450014008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 41450014008 in words is "forty-one billion, four hundred fifty million, fourteen thousand, eight".