Search a number
-
+
41425287600 = 24352315321011
BaseRepresentation
bin100110100101001000…
…111011100110110000
310221220222222122112010
4212211020323212300
51134314333200400
631010331402520
72664362064144
oct464510734660
9127828878463
1041425287600
1116628549784
1280412b3440
133ba24460c8
14200d9c3224
151126bc4450
hex9a523b9b0

41425287600 has 240 divisors, whose sum is σ = 139570781184. Its totient is φ = 10488192000.

The previous prime is 41425287593. The next prime is 41425287601. The reversal of 41425287600 is 678252414.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (41425287601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1961095 + ... + 1982105.

Almost surely, 241425287600 is an apocalyptic number.

41425287600 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 41425287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69785390592).

41425287600 is an abundant number, since it is smaller than the sum of its proper divisors (98145493584).

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

41425287600 is a wasteful number, since it uses less digits than its factorization.

41425287600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21116 (or 21105 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 41425287600 in words is "forty-one billion, four hundred twenty-five million, two hundred eighty-seven thousand, six hundred".