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14514104440 = 23511298771297
BaseRepresentation
bin11011000010001101…
…11010100001111000
31101110111211220021201
431201012322201320
5214211102320230
610400115343544
71022446565203
oct154106724170
941414756251
1014514104440
116178919540
1229908b1bb4
1314a3c91aa4
149b98a093a
1559e3355ca
hex3611ba878

14514104440 has 128 divisors (see below), whose sum is σ = 36924465600. Its totient is φ = 5086126080.

The previous prime is 14514104417. The next prime is 14514104443. The reversal of 14514104440 is 4440141541.

It is a junction number, because it is equal to n+sod(n) for n = 14514104399 and 14514104408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14514104443) 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, 11189872 + ... + 11191168.

Almost surely, 214514104440 is an apocalyptic number.

14514104440 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 14514104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18462232800).

14514104440 is an abundant number, since it is smaller than the sum of its proper divisors (22410361160).

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

14514104440 is a wasteful number, since it uses less digits than its factorization.

14514104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 14514104440 its reverse (4440141541), we get a palindrome (18954245981).

The spelling of 14514104440 in words is "fourteen billion, five hundred fourteen million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 877 1160 1276 1297 1595 1754 2552 2594 3190 3508 4385 5188 6380 6485 7016 8770 9647 10376 12760 12970 14267 17540 19294 25433 25940 28534 35080 37613 38588 48235 50866 51880 57068 71335 75226 77176 96470 101732 114136 127165 142670 150452 188065 192940 203464 254330 279763 285340 300904 376130 385880 413743 508660 559526 570680 752260 827486 1017320 1119052 1137469 1398815 1504520 1654972 2068715 2238104 2274938 2797630 3309944 4137430 4549876 5595260 5687345 8274860 9099752 11190520 11374690 12512159 16549720 22749380 25024318 32986601 45498760 50048636 62560795 65973202 100097272 125121590 131946404 164933005 250243180 263892808 329866010 362852611 500486360 659732020 725705222 1319464040 1451410444 1814263055 2902820888 3628526110 7257052220 14514104440