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40143624435558 = 2327259947814603
BaseRepresentation
bin10010010000010101010100…
…11110010111011101100110
312021010200201012122021221200
421020022222132113131212
520230203120323414213
6221213420530223330
711312165302436400
oct1110125236273546
9167120635567850
1040143624435558
11118778a74a72a6
12460412a724b46
1319526b2013b87
149cad67217b70
15499363c2a273
hex2482aa797766

40143624435558 has 144 divisors (see below), whose sum is σ = 103001983680960. Its totient is φ = 11263286799072.

The previous prime is 40143624435503. The next prime is 40143624435569. The reversal of 40143624435558 is 85553442634104.

It is a happy number.

40143624435558 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 3 + 624 + 4 + 3 + 5 + 5 + 5 + 8 = 666.

40143624435558 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×401436244355583 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 71 ways as a sum of consecutive naturals, for example, 48872685 + ... + 49687287.

It is an arithmetic number, because the mean of its divisors is an integer number (715291553340).

Almost surely, 240143624435558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40143624435558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51500991840480).

40143624435558 is an abundant number, since it is smaller than the sum of its proper divisors (62858359245402).

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

40143624435558 is a wasteful number, since it uses less digits than its factorization.

40143624435558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815631 (or 815621 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 40143624435558 in words is "forty trillion, one hundred forty-three billion, six hundred twenty-four million, four hundred thirty-five thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 59 63 98 118 126 147 177 294 354 413 441 531 826 882 947 1062 1239 1894 2478 2841 2891 3717 5682 5782 6629 7434 8523 8673 13258 17046 17346 19887 26019 39774 46403 52038 55873 59661 92806 111746 119322 139209 167619 278418 335238 391111 417627 502857 782222 814603 835254 1005714 1173333 1629206 2346666 2443809 2737777 3519999 4887618 5475554 5702221 7039998 7331427 8213331 11404442 14662854 16426662 17106663 24639993 34213326 39915547 48061577 49279986 51319989 79831094 96123154 102639978 119746641 144184731 239493282 288369462 336431039 359239923 432554193 672862078 718479846 771429041 865108386 1009293117 1542858082 2018586234 2314287123 2355017273 3027879351 4628574246 4710034546 5400003287 6055758702 6942861369 7065051819 10800006574 13885722738 14130103638 16200009861 21195155457 32400019722 37800023009 42390310914 45514313419 48600029583 75600046018 91028626838 97200059166 113400069027 136542940257 226800138054 273085880514 318600193933 340200207081 409628820771 637200387866 680400414162 819257641542 955800581799 1911601163598 2230201357531 2867401745397 4460402715062 5734803490794 6690604072593 13381208145186 20071812217779 40143624435558