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40865430141738 = 2335980916679511
BaseRepresentation
bin10010100101010101110010…
…11100100111101100101010
312100200200211002102100011000
421102222321130213230222
520324014400104013423
6222525152555415430
711415300311631336
oct1122527134475452
9170620732370130
1040865430141738
1112025a27a56774
1246bbbb1a54576
1319a5793c95b27
14a13c7c5647c6
154ad00c332843
hex252ab9727b2a

40865430141738 has 128 divisors (see below), whose sum is σ = 92530605312000. Its totient is φ = 13364951080320.

The previous prime is 40865430141713. The next prime is 40865430141763. The reversal of 40865430141738 is 83714103456804.

40865430141738 is a `hidden beast` number, since 4 + 0 + 8 + 65 + 430 + 141 + 7 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (40865430141713) and next prime (40865430141763).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4296644403 + ... + 4296653913.

It is an arithmetic number, because the mean of its divisors is an integer number (722895354000).

Almost surely, 240865430141738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40865430141738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46265302656000).

40865430141738 is an abundant number, since it is smaller than the sum of its proper divisors (51665175170262).

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

40865430141738 is a wasteful number, since it uses less digits than its factorization.

40865430141738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12057 (or 12051 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40865430141738 in words is "forty trillion, eight hundred sixty-five billion, four hundred thirty million, one hundred forty-one thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 809 1062 1593 1618 1667 2427 3186 3334 4854 5001 7281 9511 10002 14562 15003 19022 21843 28533 30006 43686 45009 47731 57066 85599 90018 95462 98353 143193 171198 196706 256797 286386 295059 429579 513594 561149 590118 859158 885177 1122298 1288737 1348603 1683447 1770354 2577474 2655531 2697206 3366894 4045809 5050341 5311062 7694399 8091618 10100682 12137427 15151023 15388798 15854837 23083197 24274854 30302046 31709674 36412281 46166394 47564511 69249591 72824562 79567577 95129022 138499182 142693533 159135154 207748773 238702731 285387066 415497546 428080599 453969541 477405462 716108193 856161198 907939082 935435383 1361908623 1432216386 1870870766 2148324579 2723817246 2806306149 4085725869 4296649158 5612612298 8171451738 8418918447 12257177607 12826563133 16837836894 24514355214 25256755341 25653126266 38479689399 50513510682 76959378798 115439068197 230878136394 346317204591 692634409182 756767224847 1513534449694 2270301674541 4540603349082 6810905023623 13621810047246 20432715070869 40865430141738