Search a number
-
+
14398223112 = 23327213313933
BaseRepresentation
bin11010110100011001…
…10111001100001000
31101011102210111222200
431122030313030020
5213441421114422
610340415520200
71016541606600
oct153214671410
941142714880
1014398223112
116119470149
122959b29060
131485c7a760
149a8337c00
155940952ac
hex35a337308

14398223112 has 144 divisors (see below), whose sum is σ = 48851269740. Its totient is φ = 3797321472.

The previous prime is 14398223107. The next prime is 14398223149. The reversal of 14398223112 is 21132289341.

It can be written as a sum of positive squares in 2 ways, for example, as 12173591556 + 2224631556 = 110334^2 + 47166^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111103 + ... + 202830.

Almost surely, 214398223112 is an apocalyptic number.

14398223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14398223112 is an abundant number, since it is smaller than the sum of its proper divisors (34453046628).

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

14398223112 is a wasteful number, since it uses less digits than its factorization.

14398223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313972 (or 313958 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 14398223112 in words is "fourteen billion, three hundred ninety-eight million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 313933 627866 941799 1255732 1883598 2197531 2511464 2825397 3767196 4081129 4395062 5650794 6592593 7534392 8162258 8790124 11301588 12243387 13185186 15382717 16324516 17580248 19777779 22603176 24486774 26370372 28567903 30765434 32649032 36730161 39555558 46148151 48973548 52740744 57135806 61530868 73460322 79111116 85703709 92296302 97947096 114271612 123061736 138444453 146920644 158222232 171407418 184592604 199975321 228543224 257111127 276888906 293841288 342814836 369185208 399950642 514222254 553777812 599925963 685629672 799901284 1028444508 1107555624 1199851926 1599802568 1799777889 2056889016 2399703852 3599555778 4799407704 7199111556 14398223112