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4231224144 = 2432731313411
BaseRepresentation
bin1111110000110011…
…0101101101010000
3101220212210110100100
43330030311231100
532131143133034
61535505452400
7206565545310
oct37414655520
911825713310
104231224144
111881463364
129a1041100
135257bbc34
142c1d43440
1519b6eb099
hexfc335b50

4231224144 has 120 divisors (see below), whose sum is σ = 13577450432. Its totient is φ = 1204968960.

The previous prime is 4231224143. The next prime is 4231224161. The reversal of 4231224144 is 4414221324.

4231224144 is a `hidden beast` number, since 423 + 1 + 224 + 14 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231224143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308799 + ... + 322209.

Almost surely, 24231224144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4231224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788725216).

4231224144 is an abundant number, since it is smaller than the sum of its proper divisors (9346226288).

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

4231224144 is a wasteful number, since it uses less digits than its factorization.

4231224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13745 (or 13736 counting only the distinct ones).

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

The square root of 4231224144 is about 65047.8604106238. The cubic root of 4231224144 is about 1617.4170269432.

Adding to 4231224144 its reverse (4414221324), we get a palindrome (8645445468).

The spelling of 4231224144 in words is "four billion, two hundred thirty-one million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 313 336 504 626 939 1008 1252 1878 2191 2504 2817 3756 4382 5008 5634 6573 7512 8764 11268 13146 13411 15024 17528 19719 22536 26292 26822 35056 39438 40233 45072 52584 53644 78876 80466 93877 105168 107288 120699 157752 160932 187754 214576 241398 281631 315504 321864 375508 482796 563262 643728 751016 844893 965592 1126524 1502032 1689786 1931184 2253048 3379572 4197643 4506096 6759144 8395286 12592929 13518288 16790572 25185858 29383501 33581144 37778787 50371716 58767002 67162288 75557574 88150503 100743432 117534004 151115148 176301006 201486864 235068008 264451509 302230296 352602012 470136016 528903018 604460592 705204024 1057806036 1410408048 2115612072 4231224144