Search a number
-
+
4013210344 = 23111322915319
BaseRepresentation
bin1110111100110100…
…1011101011101000
3101100200120012122011
43233031023223220
531204340212334
61502121005304
7201310503463
oct35715135350
911320505564
104013210344
11177a397370
12940023834
134bc5985a0
142a0dd22da
151874d4564
hexef34bae8

4013210344 has 64 divisors (see below), whose sum is σ = 8879472000. Its totient is φ = 1676401920.

The previous prime is 4013210329. The next prime is 4013210351. The reversal of 4013210344 is 4430123104.

It is a super-2 number, since 2×40132103442 = 32211714530377196672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 254317 + ... + 269635.

It is an arithmetic number, because the mean of its divisors is an integer number (138741750).

Almost surely, 24013210344 is an apocalyptic number.

4013210344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013210344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439736000).

4013210344 is an abundant number, since it is smaller than the sum of its proper divisors (4866261656).

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

4013210344 is a wasteful number, since it uses less digits than its factorization.

4013210344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15578 (or 15574 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4013210344 is about 63349.9040567545. The cubic root of 4013210344 is about 1589.1466412202.

Adding to 4013210344 its reverse (4430123104), we get a palindrome (8443333448).

The spelling of 4013210344 in words is "four billion, thirteen million, two hundred ten thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 229 286 458 572 916 1144 1832 2519 2977 5038 5954 10076 11908 15319 20152 23816 30638 32747 61276 65494 122552 130988 168509 199147 261976 337018 398294 674036 796588 1348072 1593176 2190617 3508051 4381234 7016102 8762468 14032204 17524936 28064408 38588561 45604663 77177122 91209326 154354244 182418652 308708488 364837304 501651293 1003302586 2006605172 4013210344