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11112002400040 = 23510743945712941
BaseRepresentation
bin1010000110110011011011…
…1101001010111100101000
31110100022000112221010010221
42201230312331022330220
52424024340103300130
635344441115415424
72224546530652633
oct241546675127450
943308015833127
1011112002400040
1135a4634735893
1212b56b7154574
13627b1b728849
142a5b7667ac1a
151440ae48a87a
hexa1b36f4af28

11112002400040 has 128 divisors (see below), whose sum is σ = 25350458284800. Its totient is φ = 4383278622720.

The previous prime is 11112002400019. The next prime is 11112002400049. The reversal of 11112002400040 is 4000420021111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11112002399987 and 11112002400023.

It is not an unprimeable number, because it can be changed into a prime (11112002400049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858659970 + ... + 858672910.

It is an arithmetic number, because the mean of its divisors is an integer number (198050455350).

Almost surely, 211112002400040 is an apocalyptic number.

11112002400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112002400040 is an abundant number, since it is smaller than the sum of its proper divisors (14238455884760).

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

11112002400040 is a wasteful number, since it uses less digits than its factorization.

11112002400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13955 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11112002400040 its reverse (4000420021111), we get a palindrome (15112422421151).

The spelling of 11112002400040 in words is "eleven trillion, one hundred twelve billion, two million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 439 457 535 856 878 914 1070 1756 1828 2140 2195 2285 3512 3656 4280 4390 4570 8780 9140 12941 17560 18280 25882 46973 48899 51764 64705 93946 97798 103528 129410 187892 195596 200623 234865 244495 258820 375784 391192 401246 469730 488990 517640 802492 939460 977980 1003115 1384687 1604984 1878920 1955960 2006230 2769374 4012460 5538748 5681099 5914037 6923435 8024920 11077496 11362198 11828074 13846870 21466661 22724396 23656148 27693740 28405495 29570185 42933322 45448792 47312296 55387480 56810990 59140370 85866644 107333305 113621980 118280740 171733288 214666610 227243960 236561480 429333220 607877593 632801959 858666440 1215755186 1265603918 2431510372 2531207836 2596262243 3039387965 3164009795 4863020744 5062415672 5192524486 6078775930 6328019590 10385048972 12157551860 12656039180 12981311215 20770097944 24315103720 25312078360 25962622430 51925244860 103850489720 277800060001 555600120002 1111200240004 1389000300005 2222400480008 2778000600010 5556001200020 11112002400040