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10344030302424 = 23371321937518249
BaseRepresentation
bin1001011010000110100001…
…0000000111000011011000
31100121212202020221101122010
42112201220100013003120
52323434033224134144
633555552032225520
72115221466562410
oct226415020070330
940555666841563
1010344030302424
11332897348a205
1211b08aa99b2a0
135a059000a900
1427a921bdd640
1512e112d475b9
hex968684070d8

10344030302424 has 384 divisors, whose sum is σ = 34597540800000. Its totient is φ = 2514655383552.

The previous prime is 10344030302401. The next prime is 10344030302467. The reversal of 10344030302424 is 42420303044301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10344030302391 and 10344030302400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19700452 + ... + 20218700.

It is an arithmetic number, because the mean of its divisors is an integer number (90097762500).

Almost surely, 210344030302424 is an apocalyptic number.

10344030302424 is a gapful number since it is divisible by the number (14) 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 10344030302424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298770400000).

10344030302424 is an abundant number, since it is smaller than the sum of its proper divisors (24253510497576).

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

10344030302424 is a wasteful number, since it uses less digits than its factorization.

10344030302424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518347 (or 518330 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10344030302424 its reverse (42420303044301), we get a palindrome (52764333346725).

The spelling of 10344030302424 in words is "ten trillion, three hundred forty-four billion, thirty million, three hundred two thousand, four hundred twenty-four".