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10340323140312 = 233211263299916553
BaseRepresentation
bin1001011001111000101101…
…0010011010001011011000
31100121112011220021001020200
42112132023102122023120
52323403440210442222
633554140123022200
72115030563325534
oct226361322321330
940545156231220
1010340323140312
113327340928470
1211b003536a960
135a011bc7a069
1427a68d716bc4
1512de97668eac
hex9678b49a2d8

10340323140312 has 192 divisors, whose sum is σ = 30679197120000. Its totient is φ = 3120287700480.

The previous prime is 10340323140263. The next prime is 10340323140313. The reversal of 10340323140312 is 21304132304301.

It is a happy number.

10340323140312 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 32 + 314 + 0 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340323140313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624671428 + ... + 624687980.

It is an arithmetic number, because the mean of its divisors is an integer number (159787485000).

Almost surely, 210340323140312 is an apocalyptic number.

10340323140312 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 10340323140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339598560000).

10340323140312 is an abundant number, since it is smaller than the sum of its proper divisors (20338873979688).

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

10340323140312 is a wasteful number, since it uses less digits than its factorization.

10340323140312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19838 (or 19831 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10340323140312 its reverse (21304132304301), we get a palindrome (31644455444613).

The spelling of 10340323140312 in words is "ten trillion, three hundred forty billion, three hundred twenty-three million, one hundred forty thousand, three hundred twelve".