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20240311122240 = 2635111916696129
BaseRepresentation
bin1001001101000100100001…
…00011011111100101000000
32122122221210002020101010120
410212202100203133211000
510123104124121402430
6111014134235300240
74156212530611416
oct446422043374500
978587702211116
1020240311122240
1164a395aa67aa0
12232a85b2aa680
13b3a864c78861
144dd8c9d772b6
1525176c29b610
hex1268908df940

20240311122240 has 112 divisors (see below), whose sum is σ = 70105077650880. Its totient is φ = 4906742087680.

The previous prime is 20240311122211. The next prime is 20240311122301. The reversal of 20240311122240 is 4222111304202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20240311122240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958337505 + ... + 958358624.

Almost surely, 220240311122240 is an apocalyptic number.

20240311122240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20240311122240 is an abundant number, since it is smaller than the sum of its proper divisors (49864766528640).

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

20240311122240 is a wasteful number, since it uses less digits than its factorization.

20240311122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916696160 (or 1916696150 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20240311122240 its reverse (4222111304202), we get a palindrome (24462422426442).

The spelling of 20240311122240 in words is "twenty trillion, two hundred forty billion, three hundred eleven million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 1916696129 3833392258 5750088387 7666784516 9583480645 11500176774 15333569032 19166961290 21083657419 23000353548 28750441935 30667138064 38333922580 42167314838 46000707096 57500883870 61334276128 63250972257 76667845160 84334629676 92001414192 105418287095 115001767740 122668552256 126501944514 153335690320 168669259352 184002828384 210836574190 230003535480 253003889028 306671380640 316254861285 337338518704 368005656768 421673148380 460007070960 506007778056 613342761280 632509722570 674677037408 843346296760 920014141920 1012015556112 1265019445140 1349354074816 1686692593520 1840028283840 2024031112224 2530038890280 3373385187040 4048062224448 5060077780560 6746770374080 10120155561120 20240311122240