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131343230400440 = 235291732579253777
BaseRepresentation
bin11101110111010010111010…
…100101110111011110111000
3122020001021211112222121211012
4131313102322211313132320
5114203411413440303230
61143202125211053052
736444143455551062
oct3567227245673670
9566037745877735
10131343230400440
11389393954a5093
1212893246141188
1358397c8a85a16
142461090d74732
15102b8138ab395
hex7774ba9777b8

131343230400440 has 128 divisors (see below), whose sum is σ = 307600253352000. Its totient is φ = 50412695789568.

The previous prime is 131343230400299. The next prime is 131343230400461. The reversal of 131343230400440 is 44004032343131.

It is a junction number, because it is equal to n+sod(n) for n = 131343230400397 and 131343230400406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517426832 + ... + 517680608.

Almost surely, 2131343230400440 is an apocalyptic number.

131343230400440 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 131343230400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153800126676000).

131343230400440 is an abundant number, since it is smaller than the sum of its proper divisors (176257022951560).

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

131343230400440 is a wasteful number, since it uses less digits than its factorization.

131343230400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256569 (or 256565 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 131343230400440 its reverse (44004032343131), we get a palindrome (175347262743571).

The spelling of 131343230400440 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred thirty million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 173 232 290 346 580 692 865 1160 1384 1730 2579 3460 5017 5158 6920 10034 10316 12895 20068 20632 25085 25790 40136 50170 51580 74791 100340 103160 149582 200680 253777 299164 373955 446167 507554 598328 747910 892334 1015108 1268885 1495820 1784668 2030216 2230835 2537770 2991640 3569336 4461670 5075540 7359533 8923340 10151080 12938843 14719066 17846680 25877686 29438132 36797665 43903421 51755372 58876264 64694215 73595330 87806842 103510744 129388430 147190660 175613684 219517105 258776860 294381320 351227368 439034210 517553720 654490883 878068420 1273199209 1308981766 1756136840 2546398418 2617963532 3272454415 5092796836 5235927064 6365996045 6544908830 10185593672 12731992090 13089817660 18980235607 25463984180 26179635320 37960471214 50927968360 75920942428 94901178035 113226922759 151841884856 189802356070 226453845518 379604712140 452907691036 566134613795 759209424280 905815382072 1132269227590 2264538455180 3283580760011 4529076910360 6567161520022 13134323040044 16417903800055 26268646080088 32835807600110 65671615200220 131343230400440