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10340030032332 = 223721113978811439
BaseRepresentation
bin1001011001110111100111…
…0100010010100111001100
31100121111102110201121200120
42112131321310102213030
52323402340142013312
633554051052424540
72115020404052400
oct226357164224714
940544373647616
1010340030032332
113327200431070
1211abb73178150
135a00a33232a0
1427a662819100
1512de7ba6c28c
hex96779d129cc

10340030032332 has 576 divisors, whose sum is σ = 33373313003520. Its totient is φ = 2449081958400.

The previous prime is 10340030032313. The next prime is 10340030032357. The reversal of 10340030032332 is 23323003004301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7185565669 + ... + 7185567107.

It is an arithmetic number, because the mean of its divisors is an integer number (57939779520).

Almost surely, 210340030032332 is an apocalyptic number.

10340030032332 is a gapful number since it is divisible by the number (12) 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 10340030032332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686656501760).

10340030032332 is an abundant number, since it is smaller than the sum of its proper divisors (23033282971188).

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

10340030032332 is a wasteful number, since it uses less digits than its factorization.

10340030032332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 10340030032332 its reverse (23323003004301), we get a palindrome (33663033036633).

The spelling of 10340030032332 in words is "ten trillion, three hundred forty billion, thirty million, thirty-two thousand, three hundred thirty-two".