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1141140201234 = 23112236710110099
BaseRepresentation
bin10000100110110001010…
…000011001111100010010
311001002111000121112021120
4100212301100121330102
5122144023342414414
62232122122503110
7145305342445125
oct20466120317422
94032430545246
101141140201234
113aaa55992100
121651b1664a96
13837bc145807
143d33527a3bc
151ea3c6102a9
hex109b1419f12

1141140201234 has 192 divisors, whose sum is σ = 2683333094400. Its totient is φ = 322570512000.

The previous prime is 1141140201233. The next prime is 1141140201239. The reversal of 1141140201234 is 4321020411411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1141140201233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112990317 + ... + 113000415.

It is an arithmetic number, because the mean of its divisors is an integer number (13975693200).

Almost surely, 21141140201234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141140201234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341666547200).

1141140201234 is an abundant number, since it is smaller than the sum of its proper divisors (1542192893166).

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

1141140201234 is a wasteful number, since it uses less digits than its factorization.

1141140201234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10317 (or 10306 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1141140201234 its reverse (4321020411411), we get a palindrome (5462160612645).

The spelling of 1141140201234 in words is "one trillion, one hundred forty-one billion, one hundred forty million, two hundred one thousand, two hundred thirty-four".