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13444343310 = 23537101119921
BaseRepresentation
bin11001000010101100…
…00110011000001110
31021200221220101220010
430201112012120032
5210013222441220
610102022534050
7654110014116
oct144126063016
937627811803
1013444343310
115779a88132
122732597326
13136346aa38
14917794046
1553a4741e0
hex32158660e

13444343310 has 64 divisors (see below), whose sum is σ = 33466872384. Its totient is φ = 3453696000.

The previous prime is 13444343309. The next prime is 13444343329. The reversal of 13444343310 is 1334344431.

It is a super-2 number, since 2×134443433102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52150 + ... + 172070.

It is an arithmetic number, because the mean of its divisors is an integer number (522919881).

Almost surely, 213444343310 is an apocalyptic number.

13444343310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444343310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733436192).

13444343310 is an abundant number, since it is smaller than the sum of its proper divisors (20022529074).

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

13444343310 is a wasteful number, since it uses less digits than its factorization.

13444343310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120069.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13444343310 its reverse (1334344431), we get a palindrome (14778687741).

The spelling of 13444343310 in words is "thirteen billion, four hundred forty-four million, three hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 101 111 185 202 222 303 370 505 555 606 1010 1110 1515 3030 3737 7474 11211 18685 22422 37370 56055 112110 119921 239842 359763 599605 719526 1199210 1798815 3597630 4437077 8874154 12112021 13311231 22185385 24224042 26622462 36336063 44370770 60560105 66556155 72672126 121120210 133112310 181680315 363360630 448144777 896289554 1344434331 2240723885 2688868662 4481447770 6722171655 13444343310