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4231424241324 = 22327152171103461
BaseRepresentation
bin111101100100110100100…
…010011110111010101100
3112222112001020020020121100
4331210310202132322230
51023311424101210244
612555520042403100
7614465431414050
oct75446442367254
915875036206540
104231424241324
11139159a742445
125840b3500490
13249038598237
14108b32a8bc60
15751080dab69
hex3d93489eeac

4231424241324 has 72 divisors (see below), whose sum is σ = 12224928873248. Its totient is φ = 1208897809920.

The previous prime is 4231424241263. The next prime is 4231424241379.

4231424241324 is a `hidden beast` number, since 4 + 231 + 4 + 2 + 4 + 2 + 413 + 2 + 4 = 666.

4231424241324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42314242413242 (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3282954 + ... + 4386414.

Almost surely, 24231424241324 is an apocalyptic number.

It is an amenable number.

4231424241324 is an abundant number, since it is smaller than the sum of its proper divisors (7993504631924).

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

4231424241324 is a wasteful number, since it uses less digits than its factorization.

4231424241324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118695 (or 1118690 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 4231424241324 in words is "four trillion, two hundred thirty-one billion, four hundred twenty-four million, two hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 15217 30434 45651 60868 91302 106519 136953 182604 213038 273906 319557 426076 547812 639114 958671 1103461 1278228 1917342 2206922 3310383 3834684 4413844 6620766 7724227 9931149 13241532 15448454 19862298 23172681 30896908 39724596 46345362 69518043 92690724 139036086 278072172 16791366037 33582732074 50374098111 67165464148 100748196222 117539562259 151122294333 201496392444 235079124518 302244588666 352618686777 470158249036 604489177332 705237373554 1057856060331 1410474747108 2115712120662 4231424241324