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10340322043440 = 24352371154317099
BaseRepresentation
bin1001011001111000101100…
…1110001110011000110000
31100121112011211012022121210
42112132023032032120300
52323403434420342230
633554140043320120
72115030551106624
oct226361316163060
940545154168553
1010340322043440
113327340249364
1211b0034b20040
135a011b984a1c
1427a68d50d184
1512de974edeb0
hex9678b38e630

10340322043440 has 320 divisors, whose sum is σ = 33943770316800. Its totient is φ = 2598545832960.

The previous prime is 10340322043397. The next prime is 10340322043453. The reversal of 10340322043440 is 4434022304301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10340322043398 and 10340322043407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604724011 + ... + 604741109.

It is an arithmetic number, because the mean of its divisors is an integer number (106074282240).

Almost surely, 210340322043440 is an apocalyptic number.

10340322043440 is a gapful number since it is divisible by the number (10) 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 10340322043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971885158400).

10340322043440 is an abundant number, since it is smaller than the sum of its proper divisors (23603448273360).

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

10340322043440 is a wasteful number, since it uses less digits than its factorization.

10340322043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18752 (or 18746 counting only the distinct ones).

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

Adding to 10340322043440 its reverse (4434022304301), we get a palindrome (14774344347741).

The spelling of 10340322043440 in words is "ten trillion, three hundred forty billion, three hundred twenty-two million, forty-three thousand, four hundred forty".