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41394030099840 = 2735511412112797
BaseRepresentation
bin10010110100101110011000…
…11101011011110110000000
312102120020020010111110100000
421122113030131123312000
520411144433201143330
6224012053243200000
711501422440301035
oct1132271435336600
9172506203443300
1041394030099840
111220a12293aa80
124786534b16000
131a13595414122
14a316a5cad38c
154bbb48bdc560
hex25a5cc75bd80

41394030099840 has 1536 divisors, whose sum is σ = 166497195271680. Its totient is φ = 9740279808000.

The previous prime is 41394030099823. The next prime is 41394030099847. The reversal of 41394030099840 is 4899003049314.

41394030099840 is a `hidden beast` number, since 4 + 139 + 40 + 300 + 99 + 84 + 0 = 666.

41394030099840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41394030099847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14799437322 + ... + 14799440118.

It is an arithmetic number, because the mean of its divisors is an integer number (108396611505).

Almost surely, 241394030099840 is an apocalyptic number.

41394030099840 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 41394030099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83248597635840).

41394030099840 is an abundant number, since it is smaller than the sum of its proper divisors (125103165171840).

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

41394030099840 is a wasteful number, since it uses less digits than its factorization.

41394030099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 41394030099840 in words is "forty-one trillion, three hundred ninety-four billion, thirty million, ninety-nine thousand, eight hundred forty".