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134031000001140 = 2232511272832481121
BaseRepresentation
bin11110011110011010000110…
…001001001101101001110100
3122120120020102211200012202100
4132132122012021031221310
5120031430442000014030
61153020554045342100
740142264061320634
oct3636320611155164
9576506384605670
10134031000001140
1139785256357550
1213048132867930
1359a30b8983558
1425151c66946c4
1510766c1d5e360
hex79e68624da74

134031000001140 has 144 divisors (see below), whose sum is σ = 443537198709696. Its totient is φ = 32491159603200.

The previous prime is 134031000001139. The next prime is 134031000001181. The reversal of 134031000001140 is 41100000130431.

134031000001140 is a `hidden beast` number, since 1 + 340 + 310 + 0 + 0 + 0 + 0 + 1 + 14 + 0 = 666.

It is a super-2 number, since 2×1340310000011402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 52779780 + ... + 55260900.

It is an arithmetic number, because the mean of its divisors is an integer number (3080119435484).

Almost surely, 2134031000001140 is an apocalyptic number.

134031000001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134031000001140 is an abundant number, since it is smaller than the sum of its proper divisors (309506198708556).

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

134031000001140 is a wasteful number, since it uses less digits than its factorization.

134031000001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508430 (or 2508425 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 134031000001140 its reverse (41100000130431), we get a palindrome (175131000131571).

The spelling of 134031000001140 in words is "one hundred thirty-four trillion, thirty-one billion, one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 27283 54566 81849 109132 136415 163698 245547 272830 300113 327396 409245 491094 545660 600226 818490 900339 982188 1200452 1227735 1500565 1636980 1800678 2455470 2481121 2701017 3001130 3601356 4501695 4910940 4962242 5402034 6002260 7443363 9003390 9924484 10804068 12405605 13505085 14886726 18006780 22330089 24811210 27010170 27292331 29773452 37216815 44660178 49622420 54020340 54584662 74433630 81876993 89320356 109169324 111650445 136461655 148867260 163753986 223300890 245630979 272923310 327507972 409384965 446601780 491261958 545846620 818769930 982523916 1228154895 1637539860 2456309790 4912619580 67692424243 135384848486 203077272729 270769696972 338462121215 406154545458 609231818187 676924242430 744616666673 812309090916 1015386363645 1218463636374 1353848484860 1489233333346 2030772727290 2233850000019 2436927272748 2978466666692 3046159090935 3723083333365 4061545454580 4467700000038 6092318181870 6701550000057 7446166666730 8935400000076 11169250000095 12184636363740 13403100000114 14892333333460 22338500000190 26806200000228 33507750000285 44677000000380 67015500000570 134031000001140