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1141140422320 = 245107337395581
BaseRepresentation
bin10000100110110001010…
…001001111111010110000
311001002111001000202112221
4100212301101033322300
5122144023422003240
62232122131330424
7145305344355523
oct20466121177260
94032431022487
101141140422320
113aaa56023218
121651b1750a14
13837bc1c2332
143d3352d6bba
151ea3c655a4a
hex109b144feb0

1141140422320 has 80 divisors (see below), whose sum is σ = 2685900511008. Its totient is φ = 450847272960.

The previous prime is 1141140422309. The next prime is 1141140422341. The reversal of 1141140422320 is 232240411411.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2686930 + ... + 3082510.

Almost surely, 21141140422320 is an apocalyptic number.

1141140422320 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 1141140422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342950255504).

1141140422320 is an abundant number, since it is smaller than the sum of its proper divisors (1544760088688).

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

1141140422320 is a wasteful number, since it uses less digits than its factorization.

1141140422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396038 (or 396032 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1141140422320 its reverse (232240411411), we get a palindrome (1373380833731).

The spelling of 1141140422320 in words is "one trillion, one hundred forty-one billion, one hundred forty million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 337 428 535 674 856 1070 1348 1685 1712 2140 2696 3370 4280 5392 6740 8560 13480 26960 36059 72118 144236 180295 288472 360590 395581 576944 721180 791162 1442360 1582324 1977905 2884720 3164648 3955810 6329296 7911620 15823240 31646480 42327167 84654334 133310797 169308668 211635835 266621594 338617336 423271670 533243188 666553985 677234672 846543340 1066486376 1333107970 1693086680 2132972752 2666215940 3386173360 5332431880 10664863760 14264255279 28528510558 57057021116 71321276395 114114042232 142642552790 228228084464 285285105580 570570211160 1141140422320