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471023168040 = 23345145377521
BaseRepresentation
bin1101101101010110010…
…10110010101000101000
31200000210102012010120000
412312223022302220220
530204123412334130
61000215101103000
746013251603605
oct6665312625050
91600712163500
10471023168040
1117183a331797
1277354857a60
1335556a45269
1418b24a376ac
15c3bbc65260
hex6dab2b2a28

471023168040 has 80 divisors (see below), whose sum is σ = 1583161214580. Its totient is φ = 125606177280.

The previous prime is 471023168039. The next prime is 471023168059. The reversal of 471023168040 is 40861320174.

471023168040 is a `hidden beast` number, since 471 + 0 + 23 + 168 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 470050102404 + 973065636 = 685602^2 + 31194^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 471023167986 and 471023168004.

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 19 ways as a sum of consecutive naturals, for example, 72685521 + ... + 72692000.

Almost surely, 2471023168040 is an apocalyptic number.

471023168040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

471023168040 is an abundant number, since it is smaller than the sum of its proper divisors (1112138046540).

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

471023168040 is a wasteful number, since it uses less digits than its factorization.

471023168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145377544 (or 145377531 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 471023168040 in words is "four hundred seventy-one billion, twenty-three million, one hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 145377521 290755042 436132563 581510084 726887605 872265126 1163020168 1308397689 1453775210 1744530252 2180662815 2616795378 2907550420 3489060504 3925193067 4361325630 5233590756 5815100840 6541988445 7850386134 8722651260 10467181512 11775579201 13083976890 15700772268 17445302520 19625965335 23551158402 26167953780 31401544536 39251930670 47102316804 52335907560 58877896005 78503861340 94204633608 117755792010 157007722680 235511584020 471023168040