Search a number
-
+
14223114343224 = 2333312124121019
BaseRepresentation
bin1100111011111001001110…
…1011011001001100111000
31212100201100021220221021000
43032332103223121030320
53331012414232440344
650130001501445000
72665405014105243
oct316762353311470
955321307827230
1014223114343224
114593a97283a86
121718650270760
137c2306c28497
1437258c2c425a
15199e9871ba69
hexcef93ad9338

14223114343224 has 64 divisors (see below), whose sum is σ = 40783123584000. Its totient is φ = 4588101398880.

The previous prime is 14223114343183. The next prime is 14223114343241. The reversal of 14223114343224 is 42234341132241.

14223114343224 is a `hidden beast` number, since 1 + 42 + 2 + 311 + 43 + 43 + 224 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062053814 + ... + 1062067205.

It is an arithmetic number, because the mean of its divisors is an integer number (637236306000).

Almost surely, 214223114343224 is an apocalyptic number.

It is an amenable number.

14223114343224 is an abundant number, since it is smaller than the sum of its proper divisors (26560009240776).

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

14223114343224 is a wasteful number, since it uses less digits than its factorization.

14223114343224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124121065 (or 2124121055 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 14223114343224 its reverse (42234341132241), we get a palindrome (56457455475465).

The spelling of 14223114343224 in words is "fourteen trillion, two hundred twenty-three billion, one hundred fourteen million, three hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 2124121019 4248242038 6372363057 8496484076 12744726114 16992968152 19117089171 25489452228 38234178342 50978904456 57351267513 65847751589 76468356684 114702535026 131695503178 152936713368 197543254767 229405070052 263391006356 395086509534 458810140104 526782012712 592629764301 790173019068 1185259528602 1580346038136 1777889292903 2370519057204 3555778585806 4741038114408 7111557171612 14223114343224