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29143142857728 = 2103231110167953
BaseRepresentation
bin1101010000001011010101…
…01011010111110000000000
310211012001112201210221001100
412220011222223113300000
512304440124032421403
6141552101444534400
76065344151014044
oct650055253276000
9124161481727040
1029143142857728
1193165a0423889
1233281776b1400
131335256bb7c33
1472a76db24024
153581301462a3
hex1a816aad7c00

29143142857728 has 132 divisors (see below), whose sum is σ = 84420780254928. Its totient is φ = 9683144048640.

The previous prime is 29143142857727. The next prime is 29143142857747. The reversal of 29143142857728 is 82775824134192.

29143142857728 is a `hidden beast` number, since 2 + 9 + 1 + 4 + 3 + 14 + 28 + 577 + 28 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29143142857727) 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 11 ways as a sum of consecutive naturals, for example, 2217801 + ... + 7950152.

Almost surely, 229143142857728 is an apocalyptic number.

It is an amenable number.

29143142857728 is an abundant number, since it is smaller than the sum of its proper divisors (55277637397200).

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

29143142857728 is a wasteful number, since it uses less digits than its factorization.

29143142857728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168290 (or 10168269 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 29143142857728 in words is "twenty-nine trillion, one hundred forty-three billion, one hundred forty-two million, eight hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 311 384 512 576 622 768 933 1024 1152 1244 1536 1866 2304 2488 2799 3072 3732 4608 4976 5598 7464 9216 9952 11196 14928 19904 22392 29856 39808 44784 59712 79616 89568 119424 159232 179136 238848 318464 358272 477696 716544 955392 1433088 2866176 10167953 20335906 30503859 40671812 61007718 81343624 91511577 122015436 162687248 183023154 244030872 325374496 366046308 488061744 650748992 732092616 976123488 1301497984 1464185232 1952246976 2602995968 2928370464 3162233383 3904493952 5205991936 5856740928 6324466766 7808987904 9486700149 10411983872 11713481856 12648933532 15617975808 18973400298 23426963712 25297867064 28460100447 31235951616 37946800596 46853927424 50595734128 56920200894 75893601192 93707854848 101191468256 113840401788 151787202384 202382936512 227680803576 303574404768 404765873024 455361607152 607148809536 809531746048 910723214304 1214297619072 1619063492096 1821446428608 2428595238144 3238126984192 3642892857216 4857190476288 7285785714432 9714380952576 14571571428864 29143142857728