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40055593865712 = 24331367721310169
BaseRepresentation
bin10010001101110001010110…
…11100011001000111110000
312020211021111012121000002220
421012320223130121013300
520222232324012200322
6221105141421441040
711302630646103615
oct1106705334310760
9166737435530086
1040055593865712
1111843533543237
1245ab061410180
1319472c32247a9
149c69b5ad850c
15496e1072355c
hex246e2b7191f0

40055593865712 has 160 divisors (see below), whose sum is σ = 107131348869120. Its totient is φ = 12882898298880.

The previous prime is 40055593865669. The next prime is 40055593865719. The reversal of 40055593865712 is 21756839555004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40055593865719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3938985364 + ... + 3938995532.

It is an arithmetic number, because the mean of its divisors is an integer number (669570930432).

It is a 1-persistent number, because it is pandigital, but 2⋅40055593865712 = 80111187731424 is not.

Almost surely, 240055593865712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40055593865712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53565674434560).

40055593865712 is an abundant number, since it is smaller than the sum of its proper divisors (67075755003408).

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

40055593865712 is a wasteful number, since it uses less digits than its factorization.

40055593865712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17791 (or 17785 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 60.

The spelling of 40055593865712 in words is "forty trillion, fifty-five billion, five hundred ninety-three million, eight hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 367 372 496 734 744 1101 1468 1488 2202 2936 4404 5872 7213 8808 10169 11377 14426 17616 20338 21639 22754 28852 30507 34131 40676 43278 45508 57704 61014 68262 81352 86556 91016 115408 122028 136524 162704 173112 182032 223603 244056 273048 315239 346224 447206 488112 546096 630478 670809 894412 945717 1260956 1341618 1788824 1891434 2521912 2647171 2683236 3577648 3732023 3782868 5043824 5294342 5366472 7464046 7565736 7941513 10588684 10732944 11196069 14928092 15131472 15883026 21177368 22392138 29856184 31766052 42354736 44784276 59712368 63532104 73348997 82062301 89568552 115692713 127064208 146697994 164124602 179137104 220046991 231385426 246186903 293395988 328249204 347078139 440093982 462770852 492373806 586791976 656498408 694156278 880187964 925541704 984747612 1173583952 1312996816 1388312556 1760375928 1851083408 1969495224 2273818907 2776625112 3520751856 3938990448 4547637814 5553250224 6821456721 9095275628 13642913442 18190551256 26919081899 27285826884 36381102512 53838163798 54571653768 80757245697 107676327596 109143307536 161514491394 215352655192 323028982788 430705310384 646057965576 834491538869 1292115931152 1668983077738 2503474616607 3337966155476 5006949233214 6675932310952 10013898466428 13351864621904 20027796932856 40055593865712