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261197641111440 = 243511343328819837
BaseRepresentation
bin111011011000111011010000…
…100111010101011110010000
31021020211020202201001201202010
4323120323100213111132100
5233213430232111031230
62323304312333222520
7106005623020040205
oct7330732047253620
91236736681051663
10261197641111440
117625332aaa9670
1225365a29631a40
13b298aa7801b07
144870067487cac
15202e53b6c79b0
hexed8ed09d5790

261197641111440 has 160 divisors (see below), whose sum is σ = 883580265922176. Its totient is φ = 63302193377280.

The previous prime is 261197641111439. The next prime is 261197641111453. The reversal of 261197641111440 is 44111146791162.

It is a super-2 number, since 2×2611976411114402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 261197641111440.

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, 5346799 + ... + 23473038.

Almost surely, 2261197641111440 is an apocalyptic number.

261197641111440 is a gapful number since it is divisible by the number (20) 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 261197641111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441790132961088).

261197641111440 is an abundant number, since it is smaller than the sum of its proper divisors (622382624810736).

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

261197641111440 is a wasteful number, since it uses less digits than its factorization.

261197641111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28823297 (or 28823291 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 261197641111440 in words is "two hundred sixty-one trillion, one hundred ninety-seven billion, six hundred forty-one million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3433 6866 10299 13732 17165 20598 27464 34330 37763 41196 51495 54928 68660 75526 82392 102990 113289 137320 151052 164784 188815 205980 226578 274640 302104 377630 411960 453156 566445 604208 755260 823920 906312 1132890 1510520 1812624 2265780 3021040 4531560 9063120 28819837 57639674 86459511 115279348 144099185 172919022 230558696 288198370 317018207 345838044 432297555 461117392 576396740 634036414 691676088 864595110 951054621 1152793480 1268072828 1383352176 1585091035 1729190220 1902109242 2305586960 2536145656 3170182070 3458380440 3804218484 4755273105 5072291312 6340364140 6916760880 7608436968 9510546210 12680728280 15216873936 19021092420 25361456560 38042184840 76084369680 98938500421 197877000842 296815501263 395754001684 494692502105 593631002526 791508003368 989385004210 1088323504631 1187262005052 1484077506315 1583016006736 1978770008420 2176647009262 2374524010104 2968155012630 3264970513893 3957540016840 4353294018524 4749048020208 5441617523155 5936310025260 6529941027786 7915080033680 8706588037048 10883235046310 11872620050520 13059882055572 16324852569465 17413176074096 21766470092620 23745240101040 26119764111144 32649705138930 43532940185240 52239528222288 65299410277860 87065880370480 130598820555720 261197641111440