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254241421500 = 223531166123311
BaseRepresentation
bin1110110011000111111…
…0000011100010111100
3220022020112002101121110
43230301332003202330
513131141300442000
6312444044002020
724240224266053
oct3546176034274
9808215071543
10254241421500
1198906721a80
1241334b30310
131ac89a0b461
14c43bc4b39a
15693037b850
hex3b31f838bc

254241421500 has 192 divisors, whose sum is σ = 808912226304. Its totient is φ = 61538400000.

The previous prime is 254241421477. The next prime is 254241421507. The reversal of 254241421500 is 5124142452.

254241421500 is digitally balanced in base 3, 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254241421507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10894845 + ... + 10918155.

It is an arithmetic number, because the mean of its divisors is an integer number (4213084512).

Almost surely, 2254241421500 is an apocalyptic number.

254241421500 is a gapful number since it is divisible by the number (20) 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 254241421500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404456113152).

254241421500 is an abundant number, since it is smaller than the sum of its proper divisors (554670804804).

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

254241421500 is a wasteful number, since it uses less digits than its factorization.

254241421500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24005 (or 23993 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 254241421500 its reverse (5124142452), we get a palindrome (259365563952).

The spelling of 254241421500 in words is "two hundred fifty-four billion, two hundred forty-one million, four hundred twenty-one thousand, five hundred".