Search a number
-
+
11141479140 = 22351123134903
BaseRepresentation
bin10100110000001010…
…10111101011100100
31001202110122210010120
422120011113223210
5140304204313030
65041320321540
7543045003321
oct123005275344
931673583116
1011141479140
1147a8090200
1221ab3132b0
13108733200c
147799bbb48
154531d9010
hex298157ae4

11141479140 has 144 divisors (see below), whose sum is σ = 34406542464. Its totient is φ = 2691786240.

The previous prime is 11141479133. The next prime is 11141479157. The reversal of 11141479140 is 4197414111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2269929 + ... + 2274831.

Almost surely, 211141479140 is an apocalyptic number.

11141479140 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 11141479140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203271232).

11141479140 is an abundant number, since it is smaller than the sum of its proper divisors (23265063324).

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

11141479140 is a wasteful number, since it uses less digits than its factorization.

11141479140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 11141479140 in words is "eleven billion, one hundred forty-one million, four hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 313 330 363 484 605 626 660 726 939 1210 1252 1452 1565 1815 1878 2420 3130 3443 3630 3756 4695 4903 6260 6886 7260 9390 9806 10329 13772 14709 17215 18780 19612 20658 24515 29418 34430 37873 41316 49030 51645 53933 58836 68860 73545 75746 98060 103290 107866 113619 147090 151492 161799 189365 206580 215732 227238 269665 294180 323598 378730 454476 539330 568095 593263 647196 757460 808995 1078660 1136190 1186526 1534639 1617990 1779789 2272380 2373052 2966315 3069278 3235980 3559578 4603917 5932630 6138556 7119156 7673195 8898945 9207834 11865260 15346390 16881029 17797890 18415668 23019585 30692780 33762058 35595780 46039170 50643087 67524116 84405145 92078340 101286174 168810290 185691319 202572348 253215435 337620580 371382638 506430870 557073957 742765276 928456595 1012861740 1114147914 1856913190 2228295828 2785369785 3713826380 5570739570 11141479140