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1214353142640 = 2433511163313553
BaseRepresentation
bin10001101010111101000…
…101100111001101110000
311022002110100200022012000
4101222331011213031300
5124343443401031030
62325511030134000
7153506542254651
oct21527505471560
94262410608160
101214353142640
11429005766650
121774244b1300
138a689110311
1442abc889528
15218c4d28860
hex11abd167370

1214353142640 has 320 divisors, whose sum is σ = 4591032583680. Its totient is φ = 292581642240.

The previous prime is 1214353142621. The next prime is 1214353142641. The reversal of 1214353142640 is 462413534121.

1214353142640 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 3 + 5 + 3 + 1 + 4 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1214353142595 and 1214353142604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214353142641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3716104 + ... + 4029656.

It is an arithmetic number, because the mean of its divisors is an integer number (14346976824).

Almost surely, 21214353142640 is an apocalyptic number.

1214353142640 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 1214353142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295516291840).

1214353142640 is an abundant number, since it is smaller than the sum of its proper divisors (3376679441040).

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

1214353142640 is a wasteful number, since it uses less digits than its factorization.

1214353142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313749 (or 313737 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1214353142640 its reverse (462413534121), we get a palindrome (1676766676761).

The spelling of 1214353142640 in words is "one trillion, two hundred fourteen billion, three hundred fifty-three million, one hundred forty-two thousand, six hundred forty".