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244124021400 = 233527547106261
BaseRepresentation
bin1110001101011011101…
…1001111001010011000
3212100010102102012211020
43203112323033022120
512444431222141100
6304052105002440
723431422641550
oct3432673171230
9770112365736
10244124021400
1194594711596
123b390783420
131a0368c758c
14bb5c288160
15653c02d5a0
hex38d6ecf298

244124021400 has 192 divisors, whose sum is σ = 866485850880. Its totient is φ = 55697241600.

The previous prime is 244124021381. The next prime is 244124021443. The reversal of 244124021400 is 4120421442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244270 + ... + 2350530.

It is an arithmetic number, because the mean of its divisors is an integer number (4512947140).

Almost surely, 2244124021400 is an apocalyptic number.

244124021400 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 244124021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433242925440).

244124021400 is an abundant number, since it is smaller than the sum of its proper divisors (622361829480).

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

244124021400 is a wasteful number, since it uses less digits than its factorization.

244124021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106834 (or 106825 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 244124021400 its reverse (4120421442), we get a palindrome (248244442842).

The spelling of 244124021400 in words is "two hundred forty-four billion, one hundred twenty-four million, twenty-one thousand, four hundred".