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40041350531040 = 2535471774882559
BaseRepresentation
bin10010001101010110110100…
…11110011000011111100000
312020202220201120020122010010
421012223122132120133200
520222014141213443130
6221054424213404520
711301614664543555
oct1106533236303740
9166686646218103
1040041350531040
1111838494554071
1245a8347339740
131945b63398001
149c602419ca2c
1549687a0760b0
hex246ada7987e0

40041350531040 has 96 divisors (see below), whose sum is σ = 128813876674560. Its totient is φ = 10450508501504.

The previous prime is 40041350530967. The next prime is 40041350531053. The reversal of 40041350531040 is 4013505314004.

40041350531040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40041350530989 and 40041350531007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887418720 + ... + 887463839.

It is an arithmetic number, because the mean of its divisors is an integer number (1341811215360).

Almost surely, 240041350531040 is an apocalyptic number.

40041350531040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40041350531040 is an abundant number, since it is smaller than the sum of its proper divisors (88772526143520).

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

40041350531040 is a wasteful number, since it uses less digits than its factorization.

40041350531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774882624 (or 1774882616 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 40041350531040 its reverse (4013505314004), we get a palindrome (44054855845044).

The spelling of 40041350531040 in words is "forty trillion, forty-one billion, three hundred fifty million, five hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 1774882559 3549765118 5324647677 7099530236 8874412795 10649295354 14199060472 17748825590 21298590708 26623238385 28398120944 35497651180 42597181416 53246476770 56796241888 70995302360 83419480273 85194362832 106492953540 141990604720 166838960546 170388725664 212985907080 250258440819 283981209440 333677921092 417097401365 425971814160 500516881638 667355842184 834194802730 851943628320 1001033763276 1251292204095 1334711684368 1668389605460 2002067526552 2502584408190 2669423368736 3336779210920 4004135053104 5005168816380 6673558421840 8008270106208 10010337632760 13347116843680 20020675265520 40041350531040