Search a number
-
+
95142873340440 = 23335131303670931
BaseRepresentation
bin10101101000100000101101…
…001010110001101000011000
3110110212120101102121002201000
4111220200231022301220120
544432310101033343230
6534204011013425000
726016563044553202
oct2550405512615030
9413776342532630
1095142873340440
11283519586a3a82
12a8073ab93b160
134111c1c00c013
14196cd2252d772
15aeed40194b60
hex56882d2b1a18

95142873340440 has 128 divisors (see below), whose sum is σ = 317145799180800. Its totient is φ = 25371201847680.

The previous prime is 95142873340423. The next prime is 95142873340583. The reversal of 95142873340440 is 4404337824159.

95142873340440 is a `hidden beast` number, since 9 + 5 + 14 + 287 + 3 + 340 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 141471775 + ... + 142142705.

It is an arithmetic number, because the mean of its divisors is an integer number (2477701556100).

Almost surely, 295142873340440 is an apocalyptic number.

95142873340440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95142873340440 is an abundant number, since it is smaller than the sum of its proper divisors (222002925840360).

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

95142873340440 is a wasteful number, since it uses less digits than its factorization.

95142873340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802254 (or 802244 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 95142873340440 in words is "ninety-five trillion, one hundred forty-two billion, eight hundred seventy-three million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 131303 262606 393909 525212 656515 670931 787818 1050424 1181727 1313030 1341862 1575636 1969545 2012793 2363454 2626060 2683724 3151272 3354655 3545181 3939090 4025586 4726908 5252120 5367448 5908635 6038379 6709310 7090362 7878180 8051172 9453816 10063965 11817270 12076758 13418620 14180724 15756360 16102344 17725905 18115137 20127930 23634540 24153516 26837240 28361448 30191895 35451810 36230274 40255860 47269080 48307032 60383790 70903620 72460548 80511720 90575685 120767580 141807240 144921096 181151370 241535160 362302740 724605480 88095253093 176190506186 264285759279 352381012372 440476265465 528571518558 704762024744 792857277837 880952530930 1057143037116 1321428796395 1585714555674 1761905061860 2114286074232 2378571833511 2642857592790 3171429111348 3523810123720 3964286389185 4757143667022 5285715185580 6342858222696 7928572778370 9514287334044 10571430371160 11892859167555 15857145556740 19028574668088 23785718335110 31714291113480 47571436670220 95142873340440