Search a number
-
+
41452555421200 = 245272112964110343
BaseRepresentation
bin10010110110011011011001…
…10101110100011000010000
312102202211021212012211021211
421123031230311310120100
520413124313141434300
6224055012512025504
711505563652312100
oct1133155465643020
9172684255184254
1041452555421200
1112231a25962160
124795948b32294
131a18c614a65b1
14a34458971200
154bd421c484ba
hex25b36cd74610

41452555421200 has 720 divisors, whose sum is σ = 130955663122560. Its totient is φ = 12454084608000.

The previous prime is 41452555421183. The next prime is 41452555421203. The reversal of 41452555421200 is 212455525414.

It is a super-3 number, since 3×414525554212003 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (41452555421203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4007783229 + ... + 4007793571.

It is an arithmetic number, because the mean of its divisors is an integer number (181882865448).

Almost surely, 241452555421200 is an apocalyptic number.

41452555421200 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 41452555421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65477831561280).

41452555421200 is an abundant number, since it is smaller than the sum of its proper divisors (89503107701360).

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

41452555421200 is a wasteful number, since it uses less digits than its factorization.

41452555421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11056 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 41452555421200 in words is "forty-one trillion, four hundred fifty-two billion, five hundred fifty-five million, four hundred twenty-one thousand, two hundred".