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40026740741550 = 23252432157795869
BaseRepresentation
bin10010001100111011100111…
…01010011101010110101110
312020201112000101100102121200
421012131303222131112232
520221244231112212200
6221044010355110330
711300556643434243
oct1106356352352656
9166645011312550
1040026740741550
1111832277720a82
1245a554a5a23a6
131944675643764
149c5439b115ca
154962c263e800
hex246773a9d5ae

40026740741550 has 144 divisors (see below), whose sum is σ = 110045653420560. Its totient is φ = 10424977758720.

The previous prime is 40026740741549. The next prime is 40026740741557. The reversal of 40026740741550 is 5514704762004.

40026740741550 is a `hidden beast` number, since 4 + 0 + 0 + 26 + 7 + 4 + 0 + 74 + 1 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 40026740741496 and 40026740741505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40026740741557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 417467016 + ... + 417562884.

Almost surely, 240026740741550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40026740741550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55022826710280).

40026740741550 is an abundant number, since it is smaller than the sum of its proper divisors (70018912679010).

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

40026740741550 is a wasteful number, since it uses less digits than its factorization.

40026740741550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117507 (or 117499 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 40026740741550 in words is "forty trillion, twenty-six billion, seven hundred forty million, seven hundred forty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1935 2150 3225 3870 6450 9675 19350 21577 43154 64731 95869 107885 129462 191738 194193 215770 287607 323655 388386 479345 539425 575214 647310 862821 927811 958690 970965 1078850 1438035 1618275 1725642 1855622 1941930 2396725 2783433 2876070 3236550 4122367 4314105 4639055 4793450 4854825 5566866 7190175 8244734 8350299 8628210 9278110 9709650 12367101 13917165 14380350 16700598 20611835 21570525 23195275 24734202 27834330 37101303 41223670 41751495 43141050 46390550 61835505 69585825 74202606 83502990 103059175 123671010 139171650 185506515 206118350 208757475 309177525 371013030 417514950 618355050 927532575 1855065150 2068565413 4137130826 6205696239 10342827065 12411392478 18617088717 20685654130 31028481195 37234177434 51714135325 62056962390 88948312759 93085443585 103428270650 155142405975 177896625518 186170887170 266844938277 310284811950 444741563795 465427217925 533689876554 800534814831 889483127590 930854435850 1334224691385 1601069629662 2223707818975 2668449382770 4002674074155 4447415637950 6671123456925 8005348148310 13342246913850 20013370370775 40026740741550