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40335553303040 = 295121349129841
BaseRepresentation
bin10010010101111010110100…
…10100111001001000000000
312021211001010001122222002002
421022331122110321020000
520241324203121144130
6221441521500043132
711332101420051662
oct1112753224711000
9167731101588062
1040335553303040
1111941237326146
1246353732334a8
13196781b145a98
149d63733d6532
1549e348802b45
hex24af5a539200

40335553303040 has 80 divisors (see below), whose sum is σ = 96712333284600. Its totient is φ = 16133964103680.

The previous prime is 40335553303039. The next prime is 40335553303043. The reversal of 40335553303040 is 4030335553304.

It can be written as a sum of positive squares in 4 ways, for example, as 29018303754496 + 11317249548544 = 5386864^2 + 3364112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40335553302985 and 40335553303003.

It is not an unprimeable number, because it can be changed into a prime (40335553303043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310588520 + ... + 310718360.

Almost surely, 240335553303040 is an apocalyptic number.

40335553303040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40335553303040 is an abundant number, since it is smaller than the sum of its proper divisors (56376779981560).

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

40335553303040 is a wasteful number, since it uses less digits than its factorization.

40335553303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251213 (or 251197 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 38.

Adding to 40335553303040 its reverse (4030335553304), we get a palindrome (44365888856344).

The spelling of 40335553303040 in words is "forty trillion, three hundred thirty-five billion, five hundred fifty-three million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 121349 129841 242698 259682 485396 519364 606745 649205 970792 1038728 1213490 1298410 1941584 2077456 2426980 2596820 3883168 4154912 4853960 5193640 7766336 8309824 9707920 10387280 15532672 16619648 19415840 20774560 31065344 33239296 38831680 41549120 62130688 66478592 77663360 83098240 155326720 166196480 310653440 332392960 15756075509 31512151018 63024302036 78780377545 126048604072 157560755090 252097208144 315121510180 504194416288 630243020360 1008388832576 1260486040720 2016777665152 2520972081440 4033555330304 5041944162880 8067110660608 10083888325760 20167776651520 40335553303040