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40107468477165 = 35192931672336393
BaseRepresentation
bin10010001111010001111110…
…11010010101001011101101
312021000020101102211022012120
421013220333122111023231
520224110043412232130
6221145041110423153
711306445313035105
oct1107507732251355
9167006342738176
1040107468477165
11118635333a0651
1245b911a061ab9
13194c16c47905b
149c92d73a4205
1549844995d910
hex247a3f6952ed

40107468477165 has 128 divisors (see below), whose sum is σ = 73209504153600. Its totient is φ = 18652258437120.

The previous prime is 40107468477161. The next prime is 40107468477173. The reversal of 40107468477165 is 56177486470104.

It is not a de Polignac number, because 40107468477165 - 22 = 40107468477161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40107468477099 and 40107468477108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40107468477161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15998209 + ... + 18334601.

It is an arithmetic number, because the mean of its divisors is an integer number (571949251200).

Almost surely, 240107468477165 is an apocalyptic number.

It is an amenable number.

40107468477165 is a deficient number, since it is larger than the sum of its proper divisors (33102035676435).

40107468477165 is a wasteful number, since it uses less digits than its factorization.

40107468477165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336547.

The product of its (nonzero) digits is 31610880, while the sum is 60.

The spelling of 40107468477165 in words is "forty trillion, one hundred seven billion, four hundred sixty-eight million, four hundred seventy-seven thousand, one hundred sixty-five".

Divisors: 1 3 5 15 19 29 31 57 67 87 93 95 145 155 201 285 335 435 465 551 589 899 1005 1273 1653 1767 1943 2077 2697 2755 2945 3819 4495 5829 6231 6365 8265 8835 9715 10385 13485 17081 19095 29145 31155 36917 39463 51243 60233 85405 110751 118389 180699 184585 197315 256215 301165 553755 591945 903495 1144427 2336393 3433281 5722135 7009179 11681965 17166405 35045895 44391467 67755397 72428183 133174401 156538331 203266191 217284549 221957335 338776985 362140915 469614993 665872005 782691655 1016330955 1086422745 1287352543 1376135477 2100417307 2348074965 2974228289 3862057629 4128406431 4539611599 4852688261 6301251921 6436762715 6880677385 8922684867 10502086535 13618834797 14558064783 14871141445 19310288145 20642032155 22698057995 24263441305 31506259605 39907928833 44613424335 68094173985 72790323915 86252620381 92201076959 119723786499 140727959569 199539644165 258757861143 276603230877 422183878707 431263101905 461005384795 598618932495 703639797845 1293789305715 1383016154385 2110919393535 2673831231811 8021493695433 13369156159055 40107468477165