Search a number
-
+
4240332144 = 24321912311259
BaseRepresentation
bin1111110010111110…
…0101010101110000
3101221111221012011200
43330233211111300
532141011112034
61540433011200
7210036141246
oct37457452560
911844835150
104240332144
111886614334
129a40b3b00
1352765a799
142c3234796
1519c3e9a99
hexfcbe5570

4240332144 has 120 divisors (see below), whose sum is σ = 12511699200. Its totient is φ = 1336901760.

The previous prime is 4240332143. The next prime is 4240332149. The reversal of 4240332144 is 4412330424.

It is a happy number.

4240332144 is a `hidden beast` number, since 42 + 403 + 3 + 214 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240332143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3367387 + ... + 3368645.

It is an arithmetic number, because the mean of its divisors is an integer number (104264160).

Almost surely, 24240332144 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 4240332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255849600).

4240332144 is an abundant number, since it is smaller than the sum of its proper divisors (8271367056).

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

4240332144 is a wasteful number, since it uses less digits than its factorization.

4240332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4240332144 is about 65117.8327649193. The cubic root of 4240332144 is about 1618.5767289003.

Adding to 4240332144 its reverse (4412330424), we get a palindrome (8652662568).

It can be divided in two parts, 42403 and 32144, that added together give a palindrome (74547).

The spelling of 4240332144 in words is "four billion, two hundred forty million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1231 1259 1368 2462 2518 2736 3693 3777 4924 5036 7386 7554 9848 10072 11079 11331 14772 15108 19696 20144 22158 22662 23389 23921 29544 30216 44316 45324 46778 47842 59088 60432 70167 71763 88632 90648 93556 95684 140334 143526 177264 181296 187112 191368 210501 215289 280668 287052 374224 382736 421002 430578 561336 574104 842004 861156 1122672 1148208 1549829 1684008 1722312 3099658 3368016 3444624 4649487 6199316 9298974 12398632 13948461 18597948 24797264 27896922 29446751 37195896 55793844 58893502 74391792 88340253 111587688 117787004 176680506 223175376 235574008 265020759 353361012 471148016 530041518 706722024 1060083036 1413444048 2120166072 4240332144