Search a number
-
+
312406131620 = 2251119591266751
BaseRepresentation
bin1001000101111001101…
…10110100001110100100
31002212101010020210221102
410202330312310032210
520104301432202440
6355303431335232
731366500206312
oct4427466641644
91085333223842
10312406131620
11110544131640
1250668221518
13235c91708ab
1411198a7d0b2
1581d6904b15
hex48bcdb43a4

312406131620 has 96 divisors (see below), whose sum is σ = 766131609600. Its totient is φ = 105798960000.

The previous prime is 312406131559. The next prime is 312406131659. The reversal of 312406131620 is 26131604213.

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, 386756 + ... + 879995.

It is an arithmetic number, because the mean of its divisors is an integer number (7980537600).

Almost surely, 2312406131620 is an apocalyptic number.

It is an amenable number.

312406131620 is an abundant number, since it is smaller than the sum of its proper divisors (453725477980).

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

312406131620 is a wasteful number, since it uses less digits than its factorization.

312406131620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266849 (or 1266847 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 312406131620 its reverse (26131604213), we get a palindrome (338537735833).

The spelling of 312406131620 in words is "three hundred twelve billion, four hundred six million, one hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 59 76 95 110 118 190 209 220 236 295 380 418 590 649 836 1045 1121 1180 1298 2090 2242 2596 3245 4180 4484 5605 6490 11210 12331 12980 22420 24662 49324 61655 123310 246620 1266751 2533502 5067004 6333755 12667510 13934261 24068269 25335020 27868522 48136538 55737044 69671305 74738309 96273076 120341345 139342610 149476618 240682690 264750959 278685220 298953236 373691545 481365380 529501918 747383090 822121399 1059003836 1323754795 1420027871 1494766180 1644242798 2647509590 2840055742 3288485596 4110606995 5295019180 5680111484 7100139355 8221213990 14200278710 15620306581 16442427980 28400557420 31240613162 62481226324 78101532905 156203065810 312406131620