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1141104331140 = 223573457570079
BaseRepresentation
bin10000100110101111000…
…111100100100110000100
311001002101112010010202120
4100212233013210212010
5122143440202044030
62232114402005540
7145304425530444
oct20465707444604
94032345103676
101141104331140
113aaa377123a4
121651a16468b0
13837b48969c7
143d3305c0124
151ea393c7010
hex109af1e4984

1141104331140 has 96 divisors (see below), whose sum is σ = 3245953428480. Its totient is φ = 299468814336.

The previous prime is 1141104331127. The next prime is 1141104331141. The reversal of 1141104331140 is 411334011411.

It is a self number, because there is not a number n which added to its sum of digits gives 1141104331140.

It is not an unprimeable number, because it can be changed into a prime (1141104331141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716621 + ... + 2286699.

It is an arithmetic number, because the mean of its divisors is an integer number (33812014880).

Almost surely, 21141104331140 is an apocalyptic number.

1141104331140 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 1141104331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622976714240).

1141104331140 is an abundant number, since it is smaller than the sum of its proper divisors (2104849097340).

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

1141104331140 is a wasteful number, since it uses less digits than its factorization.

1141104331140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570621 (or 570619 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1141104331140 its reverse (411334011411), we get a palindrome (1552438342551).

The spelling of 1141104331140 in words is "one trillion, one hundred forty-one billion, one hundred four million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 457 730 876 914 1095 1371 1460 1828 2190 2285 2742 4380 4570 5484 6855 9140 13710 27420 33361 66722 100083 133444 166805 200166 333610 400332 500415 570079 667220 1000830 1140158 1710237 2001660 2280316 2850395 3420474 5700790 6840948 8551185 11401580 17102370 34204740 41615767 83231534 124847301 166463068 208078835 249694602 260526103 416157670 499389204 521052206 624236505 781578309 832315340 1042104412 1248473010 1302630515 1563156618 2496946020 2605261030 3126313236 3907891545 5210522060 7815783090 15631566180 19018405519 38036811038 57055216557 76073622076 95092027595 114110433114 190184055190 228220866228 285276082785 380368110380 570552165570 1141104331140