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11143361340 = 223251491632549
BaseRepresentation
bin10100110000011001…
…00011001100111100
31001202121012102000200
422120030203030330
5140310200030330
65041424523500
7543100002636
oct123014431474
931677172020
1011143361340
1147a9156341
1221aba80590
131087840947
14779d4ba56
1545345ba60
hex29832333c

11143361340 has 144 divisors (see below), whose sum is σ = 34250580000. Its totient is φ = 2932360704.

The previous prime is 11143361309. The next prime is 11143361387. The reversal of 11143361340 is 4316334111.

11143361340 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 3 + 3 + 613 + 40 = 666.

It is a congruent number.

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, 4370386 + ... + 4372934.

It is an arithmetic number, because the mean of its divisors is an integer number (237851250).

Almost surely, 211143361340 is an apocalyptic number.

11143361340 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 11143361340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125290000).

11143361340 is an abundant number, since it is smaller than the sum of its proper divisors (23107218660).

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

11143361340 is a wasteful number, since it uses less digits than its factorization.

11143361340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11143361340 its reverse (4316334111), we get a palindrome (15459695451).

The spelling of 11143361340 in words is "eleven billion, one hundred forty-three million, three hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 163 180 298 326 447 489 596 652 745 815 894 978 1341 1467 1490 1630 1788 1956 2235 2445 2549 2682 2934 2980 3260 4470 4890 5098 5364 5868 6705 7335 7647 8940 9780 10196 12745 13410 14670 15294 22941 24287 25490 26820 29340 30588 38235 45882 48574 50980 72861 76470 91764 97148 114705 121435 145722 152940 218583 229410 242870 291444 364305 379801 415487 437166 458820 485740 728610 759602 830974 874332 1092915 1139403 1246461 1457220 1519204 1661948 1899005 2077435 2185830 2278806 2492922 3418209 3739383 3798010 4154870 4371660 4557612 4985844 5697015 6232305 6836418 7478766 7596020 8309740 11394030 12464610 13672836 14957532 17091045 18696915 22788060 24929220 34182090 37393830 61907563 68364180 74787660 123815126 185722689 247630252 309537815 371445378 557168067 619075630 742890756 928613445 1114336134 1238151260 1857226890 2228672268 2785840335 3714453780 5571680670 11143361340