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4142324368 = 2472131921391
BaseRepresentation
bin1111011011100110…
…1101101010010000
3101200200111212210001
43312321231222100
531440413334433
61523012215344
7204436114300
oct36671555220
911620455701
104142324368
111836263676
1297730a554
13510263a10
142b4201600
151939da57d
hexf6e6da90

4142324368 has 120 divisors (see below), whose sum is σ = 10583905920. Its totient is φ = 1552400640.

The previous prime is 4142324353. The next prime is 4142324369. The reversal of 4142324368 is 8634232414.

It is not an unprimeable number, because it can be changed into a prime (4142324369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182953 + ... + 204343.

It is an arithmetic number, because the mean of its divisors is an integer number (88199216).

Almost surely, 24142324368 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 4142324368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291952960).

4142324368 is an abundant number, since it is smaller than the sum of its proper divisors (6441581552).

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

4142324368 is a wasteful number, since it uses less digits than its factorization.

4142324368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21445 (or 21432 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

The square root of 4142324368 is about 64360.8916035196. The cubic root of 4142324368 is about 1606.0092212824.

The spelling of 4142324368 in words is "four billion, one hundred forty-two million, three hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 49 52 56 76 91 98 104 112 133 152 182 196 208 247 266 304 364 392 494 532 637 728 784 931 988 1064 1274 1456 1729 1862 1976 2128 2548 3458 3724 3952 5096 6916 7448 10192 12103 13832 14896 21391 24206 27664 42782 48412 85564 96824 149737 171128 193648 278083 299474 342256 406429 556166 598948 812858 1048159 1112332 1197896 1625716 1946581 2096318 2224664 2395792 2845003 3251432 3893162 4192636 4449328 5283577 5690006 6502864 7786324 8385272 10567154 11380012 13626067 15572648 16770544 19915021 21134308 22760024 27252134 31145296 36985039 39830042 42268616 45520048 54504268 73970078 79660084 84537232 109008536 147940156 159320168 218017072 258895273 295880312 318640336 517790546 591760624 1035581092 2071162184 4142324368