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1141239921696 = 253373710334937
BaseRepresentation
bin10000100110110111001…
…100110011110000100000
311001002201222020212001000
4100212313030303300200
5122144224404443241
62232140044112000
7145310663164260
oct20466714636040
94032658225030
101141239921696
113aaaa7202606
1216521ab35600
13838069bbcc4
143d3445d77a0
151ea4625beb6
hex109b7333c20

1141239921696 has 384 divisors, whose sum is σ = 3911521743360. Its totient is φ = 316884566016.

The previous prime is 1141239921677. The next prime is 1141239921737. The reversal of 1141239921696 is 6961299321411.

1141239921696 is a `hidden beast` number, since 1 + 1 + 412 + 3 + 9 + 9 + 216 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 231158140 + ... + 231163076.

It is an arithmetic number, because the mean of its divisors is an integer number (10186254540).

Almost surely, 21141239921696 is an apocalyptic number.

1141239921696 is a gapful number since it is divisible by the number (16) 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 1141239921696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955760871680).

1141239921696 is an abundant number, since it is smaller than the sum of its proper divisors (2770281821664).

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

1141239921696 is a wasteful number, since it uses less digits than its factorization.

1141239921696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6033 (or 6019 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 1141239921696 in words is "one trillion, one hundred forty-one billion, two hundred thirty-nine million, nine hundred twenty-one thousand, six hundred ninety-six".