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10424144403270 = 23251324167724691
BaseRepresentation
bin1001011110110000111101…
…1011001001101101000110
31100220112112112202101120100
42113230033123021231012
52331242121431401040
634100441423344530
72124056005315503
oct227541733115506
940815475671510
1010424144403270
113359944838a04
121204328a52146
135a7cb9982500
14280761b9a4aa
15131251353b30
hex97b0f6c9b46

10424144403270 has 288 divisors, whose sum is σ = 30109406824224. Its totient is φ = 2499560294400.

The previous prime is 10424144403263. The next prime is 10424144403293. The reversal of 10424144403270 is 7230444142401.

10424144403270 is a `hidden beast` number, since 1 + 0 + 4 + 241 + 4 + 4 + 403 + 2 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 422171625 + ... + 422196315.

It is an arithmetic number, because the mean of its divisors is an integer number (104546551473).

Almost surely, 210424144403270 is an apocalyptic number.

10424144403270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424144403270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054703412112).

10424144403270 is an abundant number, since it is smaller than the sum of its proper divisors (19685262420954).

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

10424144403270 is a wasteful number, since it uses less digits than its factorization.

10424144403270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25448 (or 25432 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 10424144403270 its reverse (7230444142401), we get a palindrome (17654588545671).

The spelling of 10424144403270 in words is "ten trillion, four hundred twenty-four billion, one hundred forty-four million, four hundred three thousand, two hundred seventy".