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1141242044144 = 242922391112107
BaseRepresentation
bin10000100110110111010…
…100111001111011110000
311001002202010020200111012
4100212313110321323300
5122144230430403034
62232140201410052
7145311020214206
oct20466724717360
94032663220435
101141242044144
113aaaa84221a4
1216521b799928
13838072830a7
143d3449cb076
151ea4652acce
hex109b7539ef0

1141242044144 has 80 divisors (see below), whose sum is σ = 2300372766720. Its totient is φ = 547826522880.

The previous prime is 1141242044113. The next prime is 1141242044147. The reversal of 1141242044144 is 4414402421411.

It is a self number, because there is not a number n which added to its sum of digits gives 1141242044144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141242044147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94256939 + ... + 94269045.

It is an arithmetic number, because the mean of its divisors is an integer number (28754659584).

Almost surely, 21141242044144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141242044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150186383360).

1141242044144 is an abundant number, since it is smaller than the sum of its proper divisors (1159130722576).

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

1141242044144 is a wasteful number, since it uses less digits than its factorization.

1141242044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13278 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 1141242044144 its reverse (4414402421411), we get a palindrome (5555644465555).

The spelling of 1141242044144 in words is "one trillion, one hundred forty-one billion, two hundred forty-two million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 223 232 446 464 892 911 1784 1822 3568 3644 6467 7288 12107 12934 14576 24214 25868 26419 48428 51736 52838 96856 103472 105676 193712 203153 211352 351103 406306 422704 702206 812612 1404412 1625224 2699861 2808824 3250448 5399722 5617648 5891437 10799444 11029477 11782874 21598888 22058954 23565748 43197776 44117908 47131496 78295969 88235816 94262992 156591938 176471632 313183876 319854833 626367752 639709666 1252735504 1279419332 2459573371 2558838664 4919146742 5117677328 9838293484 19676586968 39353173936 71327627759 142655255518 285310511036 570621022072 1141242044144