Search a number
-
+
8131476414 = 23172273311061
BaseRepresentation
bin1111001001010110…
…00111101110111110
3202222200210210122010
413210223013232332
5113123124221124
63422513432050
7405335260215
oct74453075676
922880723563
108131476414
1134a3008646
1216ab26b626
139c7857909
14571d3007c
15328d1b529
hex1e4ac7bbe

8131476414 has 64 divisors (see below), whose sum is σ = 17364056832. Its totient is φ = 2529753600.

The previous prime is 8131476403. The next prime is 8131476461. The reversal of 8131476414 is 4146741318.

It is a super-3 number, since 3×81314764143 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7663444 + ... + 7664504.

It is an arithmetic number, because the mean of its divisors is an integer number (271313388).

Almost surely, 28131476414 is an apocalyptic number.

8131476414 is an abundant number, since it is smaller than the sum of its proper divisors (9232580418).

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

8131476414 is a wasteful number, since it uses less digits than its factorization.

8131476414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641.

The product of its digits is 64512, while the sum is 39.

The square root of 8131476414 is about 90174.6994117530. The cubic root of 8131476414 is about 2010.8968889126.

The spelling of 8131476414 in words is "eight billion, one hundred thirty-one million, four hundred seventy-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 227 331 454 662 681 993 1061 1362 1986 2122 3183 3859 5627 6366 7718 11254 11577 16881 18037 23154 33762 36074 54111 75137 108222 150274 225411 240847 351191 450822 481694 702382 722541 1053573 1277329 1445082 2107146 2554658 3831987 4094399 5970247 7663974 8188798 11940494 12283197 17910741 24566394 35821482 79720357 159440714 239161071 478322142 1355246069 2710492138 4065738207 8131476414