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14444233320 = 23351113779873
BaseRepresentation
bin11010111001111000…
…11000001001101000
31101021122101002010110
431130330120021220
5214040210431240
610345142014320
71020640646256
oct153474301150
941248332113
1014444233320
116142436310
1229714173a0
131492669b2a
149b04b35d6
15598132c80
hex35cf18268

14444233320 has 128 divisors (see below), whose sum is σ = 47617683840. Its totient is φ = 3476029440.

The previous prime is 14444233301. The next prime is 14444233327. The reversal of 14444233320 is 2333244441.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (14444233327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140904 + ... + 220776.

It is an arithmetic number, because the mean of its divisors is an integer number (372013155).

Almost surely, 214444233320 is an apocalyptic number.

14444233320 is a gapful number since it is divisible by the number (10) 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 14444233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808841920).

14444233320 is an abundant number, since it is smaller than the sum of its proper divisors (33173450520).

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

14444233320 is a wasteful number, since it uses less digits than its factorization.

14444233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80035 (or 80031 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 14444233320 its reverse (2333244441), we get a palindrome (16777477761).

The spelling of 14444233320 in words is "fourteen billion, four hundred forty-four million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 137 165 220 264 274 330 411 440 548 660 685 822 1096 1320 1370 1507 1644 2055 2740 3014 3288 4110 4521 5480 6028 7535 8220 9042 12056 15070 16440 18084 22605 30140 36168 45210 60280 79873 90420 159746 180840 239619 319492 399365 479238 638984 798730 878603 958476 1198095 1597460 1757206 1916952 2396190 2635809 3194920 3514412 4393015 4792380 5271618 7028824 8786030 9584760 10543236 10942601 13179045 17572060 21086472 21885202 26358090 32827803 35144120 43770404 52716180 54713005 65655606 87540808 105432360 109426010 120368611 131311212 164139015 218852020 240737222 262622424 328278030 361105833 437704040 481474444 601843055 656556060 722211666 962948888 1203686110 1313112120 1444423332 1805529165 2407372220 2888846664 3611058330 4814744440 7222116660 14444233320