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41420851200 = 211335219283
BaseRepresentation
bin100110100100111000…
…000000100000000000
310221220200122020221000
4212210320000200000
51134312214214300
631010052332000
72664306266061
oct464470004000
9127820566830
1041420851200
1116625a99633
12803b914000
133ba1551a11
14200d18a568
1511265e9c00
hex9a4e00800

41420851200 has 864 divisors, whose sum is σ = 162509911200. Its totient is φ = 10338140160.

The previous prime is 41420851189. The next prime is 41420851291. The reversal of 41420851200 is 215802414.

41420851200 is a `hidden beast` number, since 4 + 142 + 0 + 8 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499046359 + ... + 499046441.

It is an arithmetic number, because the mean of its divisors is an integer number (188090175).

Almost surely, 241420851200 is an apocalyptic number.

41420851200 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 41420851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81254955600).

41420851200 is an abundant number, since it is smaller than the sum of its proper divisors (121089060000).

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

41420851200 is a wasteful number, since it uses less digits than its factorization.

41420851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 112 counting only the distinct ones).

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

The spelling of 41420851200 in words is "forty-one billion, four hundred twenty million, eight hundred fifty-one thousand, two hundred".