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14323220140440 = 23351373671237331
BaseRepresentation
bin1101000001101110001001…
…1100101101000110011000
31212201021201211122100000010
43100123202130231012120
53334132423323443230
650243555124241520
73005550514252401
oct320334234550630
955637654570003
1014323220140440
1146224974000a2
121733b295402a0
137cb89b62b313
143773674049a8
1519c8a6da39b0
hexd06e272d198

14323220140440 has 128 divisors (see below), whose sum is σ = 43295280606720. Its totient is φ = 3790596787200.

The previous prime is 14323220140399. The next prime is 14323220140441. The reversal of 14323220140440 is 4404102232341.

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

It is a junction number, because it is equal to n+sod(n) for n = 14323220140398 and 14323220140407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14323220140441) 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, 60232575 + ... + 60469905.

It is an arithmetic number, because the mean of its divisors is an integer number (338244379740).

Almost surely, 214323220140440 is an apocalyptic number.

14323220140440 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 14323220140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21647640303360).

14323220140440 is an abundant number, since it is smaller than the sum of its proper divisors (28972060466280).

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

14323220140440 is a wasteful number, since it uses less digits than its factorization.

14323220140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241153 (or 241149 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14323220140440 its reverse (4404102232341), we get a palindrome (18727322372781).

The spelling of 14323220140440 in words is "fourteen trillion, three hundred twenty-three billion, two hundred twenty million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 3671 4110 5480 7342 8220 11013 14684 16440 18355 22026 29368 36710 44052 55065 73420 88104 110130 146840 220260 237331 440520 474662 502927 711993 949324 1005854 1186655 1423986 1508781 1898648 2011708 2373310 2514635 2847972 3017562 3559965 4023416 4746620 5029270 5695944 6035124 7119930 7543905 9493240 10058540 12070248 14239860 15087810 20117080 28479720 30175620 32514347 60351240 65028694 97543041 130057388 162571735 195086082 260114776 325143470 390172164 487715205 650286940 780344328 871242101 975430410 1300573880 1742484202 1950860820 2613726303 3484968404 3901721640 4356210505 5227452606 6969936808 8712421010 10454905212 13068631515 17424842020 20909810424 26137263030 34849684040 52274526060 104549052120 119360167837 238720335674 358080503511 477440671348 596800839185 716161007022 954881342696 1193601678370 1432322014044 1790402517555 2387203356740 2864644028088 3580805035110 4774406713480 7161610070220 14323220140440