Search a number
-
+
113444443103424 = 2634762172022103
BaseRepresentation
bin11001110010110101010111…
…101110111010000011000000
3112212200011221021221000010120
4121302311113232322003000
5104332133204413302144
61041135354021300240
732616043025026026
oct3162652756720300
9485604837830116
10113444443103424
1133168577706704
1210882362564680
134b3b9c3b67214
142002a51702716
15d1ae3c436e19
hex672d57bba0c0

113444443103424 has 112 divisors (see below), whose sum is σ = 306590826114048. Its totient is φ = 37004272478208.

The previous prime is 113444443103393. The next prime is 113444443103461. The reversal of 113444443103424 is 424301344444311.

113444443103424 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55091157 + ... + 57113259.

It is an arithmetic number, because the mean of its divisors is an integer number (2737418090304).

Almost surely, 2113444443103424 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 113444443103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153295413057024).

113444443103424 is an abundant number, since it is smaller than the sum of its proper divisors (193146383010624).

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

113444443103424 is a wasteful number, since it uses less digits than its factorization.

113444443103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028382 (or 2028372 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

Adding to 113444443103424 its reverse (424301344444311), we get a palindrome (537745787547735).

The spelling of 113444443103424 in words is "one hundred thirteen trillion, four hundred forty-four billion, four hundred forty-three million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 6217 9024 12434 18651 24868 37302 49736 74604 99472 149208 198944 292199 298416 397888 584398 596832 876597 1168796 1193664 1753194 2022103 2337592 3506388 4044206 4675184 6066309 7012776 8088412 9350368 12132618 14025552 16176824 18700736 24265236 28051104 32353648 48530472 56102208 64707296 95038841 97060944 129414592 190077682 194121888 285116523 380155364 388243776 570233046 760310728 1140466092 1520621456 2280932184 3041242912 4561864368 6082485824 9123728736 12571414351 18247457472 25142828702 37714243053 50285657404 75428486106 100571314808 150856972212 201142629616 301713944424 402285259232 590856474497 603427888848 804570518464 1181712948994 1206855777696 1772569423491 2363425897988 2413711555392 3545138846982 4726851795976 7090277693964 9453703591952 14180555387928 18907407183904 28361110775856 37814814367808 56722221551712 113444443103424