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314400412422 = 232413115712399
BaseRepresentation
bin1001001001100111011…
…10011001001100000110
31010001112002211202220100
410210303232121030012
520122343001144142
6400233351544530
731500064261125
oct4446356311406
91101462752810
10314400412422
11111377922298
1250b2408b146
13238563949c5
1411307889abc
1582a1a37b4c
hex4933b99306

314400412422 has 96 divisors (see below), whose sum is σ = 701577676800. Its totient is φ = 101694384000.

The previous prime is 314400412421. The next prime is 314400412429. The reversal of 314400412422 is 224214004413.

314400412422 is a `hidden beast` number, since 3 + 14 + 400 + 4 + 1 + 242 + 2 = 666.

It is a super-2 number, since 2×3144004124222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314400412421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131053579 + ... + 131055977.

It is an arithmetic number, because the mean of its divisors is an integer number (7308100800).

Almost surely, 2314400412422 is an apocalyptic number.

314400412422 is an abundant number, since it is smaller than the sum of its proper divisors (387177264378).

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

314400412422 is a wasteful number, since it uses less digits than its factorization.

314400412422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 314400412422 its reverse (224214004413), we get a palindrome (538614416835).

The spelling of 314400412422 in words is "three hundred fourteen billion, four hundred million, four hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 311 369 571 622 738 933 1142 1713 1866 2399 2799 3426 4798 5139 5598 7197 10278 12751 14394 21591 23411 25502 38253 43182 46822 70233 76506 98359 114759 140466 177581 196718 210699 229518 295077 355162 421398 532743 590154 746089 885231 1065486 1369829 1492178 1598229 1770462 2238267 2739658 3196458 4109487 4476534 6714801 7280821 8218974 12328461 13429602 14561642 21842463 24656922 30589649 43684926 56162989 61179298 65527389 91768947 112325978 131054778 168488967 183537894 275306841 336977934 426016819 505466901 550613682 852033638 1010933802 1278050457 2556100914 3834151371 7668302742 17466689579 34933379158 52400068737 104800137474 157200206211 314400412422