Search a number
-
+
420313343112 = 233313592537021
BaseRepresentation
bin1100001110111001010…
…00001010010010001000
31111011220100201010012000
412013130220022102020
523341300203434422
6521031141351000
742236520316455
oct6073450122210
91434810633160
10420313343112
11152287a19773
1269562108460
1330834c061b0
14164b3d3282c
15adeee0bcac
hex61dca0a488

420313343112 has 128 divisors (see below), whose sum is σ = 1278659088000. Its totient is φ = 127135146240.

The previous prime is 420313343101. The next prime is 420313343123. The reversal of 420313343112 is 211343313024.

It is a happy number.

420313343112 is a `hidden beast` number, since 4 + 2 + 0 + 313 + 34 + 311 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (420313343101) and next prime (420313343123).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1102839 + ... + 1434182.

It is an arithmetic number, because the mean of its divisors is an integer number (9989524125).

Almost surely, 2420313343112 is an apocalyptic number.

It is an amenable number.

420313343112 is an abundant number, since it is smaller than the sum of its proper divisors (858345744888).

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

420313343112 is a wasteful number, since it uses less digits than its factorization.

420313343112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537108 (or 2537098 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 420313343112 its reverse (211343313024), we get a palindrome (631656656136).

The spelling of 420313343112 in words is "four hundred twenty billion, three hundred thirteen million, three hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 59 72 78 104 108 117 118 156 177 216 234 236 312 351 354 468 472 531 702 708 767 936 1062 1404 1416 1534 1593 2124 2301 2808 3068 3186 4248 4602 6136 6372 6903 9204 12744 13806 18408 20709 27612 41418 55224 82836 165672 2537021 5074042 7611063 10148084 15222126 20296168 22833189 30444252 32981273 45666378 60888504 65962546 68499567 91332756 98943819 131925092 136999134 149684239 182665512 197887638 263850184 273998268 296831457 299368478 395775276 449052717 547996536 593662914 598736956 791550552 890494371 898105434 1187325828 1197473912 1347158151 1780988742 1796210868 1945895107 2374651656 2694316302 3561977484 3592421736 3891790214 4041474453 5388632604 5837685321 7123954968 7783580428 8082948906 10777265208 11675370642 15567160856 16165897812 17513055963 23350741284 32331795624 35026111926 46701482568 52539167889 70052223852 105078335778 140104447704 210156671556 420313343112