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14030111322024 = 23372313272736233
BaseRepresentation
bin1100110000101010001111…
…0011010010111110101000
31211200021011120200121020120
43030022203303102332220
53314332131444301044
645501202201123240
72645433144355320
oct314124363227650
954607146617216
1014030111322024
11451a156093596
1216a7167a89520
137aa0593c5065
143670bd5b4280
15194e4e6b6519
hexcc2a3cd2fa8

14030111322024 has 128 divisors (see below), whose sum is σ = 41860440023040. Its totient is φ = 3831425275392.

The previous prime is 14030111321959. The next prime is 14030111322083. The reversal of 14030111322024 is 42022311103041.

14030111322024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14030111321985 and 14030111322003.

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, 3759412 + ... + 6495644.

It is an arithmetic number, because the mean of its divisors is an integer number (327034687680).

Almost surely, 214030111322024 is an apocalyptic number.

14030111322024 is a gapful number since it is divisible by the number (14) 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 14030111322024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930220011520).

14030111322024 is an abundant number, since it is smaller than the sum of its proper divisors (27830328701016).

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

14030111322024 is a wasteful number, since it uses less digits than its factorization.

14030111322024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737599 (or 2737595 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14030111322024 its reverse (42022311103041), we get a palindrome (56052422425065).

The spelling of 14030111322024 in words is "fourteen trillion, thirty billion, one hundred eleven million, three hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1327 1932 2654 3864 3981 5308 7962 9289 10616 15924 18578 27867 30521 31848 37156 55734 61042 74312 91563 111468 122084 183126 213647 222936 244168 366252 427294 640941 732504 854588 1281882 1709176 2563764 2736233 5127528 5472466 8208699 10944932 16417398 19153631 21889864 32834796 38307262 57460893 62933359 65669592 76614524 114921786 125866718 153229048 188800077 229843572 251733436 377600154 440533513 459687144 503466872 755200308 881067026 1321600539 1510400616 1762134052 2643201078 3524268104 3630981191 5286402156 7261962382 10572804312 10892943573 14523924764 21785887146 25416868337 29047849528 43571774292 50833736674 76250605011 83512567393 87143548584 101667473348 152501210022 167025134786 203334946696 250537702179 305002420044 334050269572 501075404358 584587971751 610004840088 668100539144 1002150808716 1169175943502 1753763915253 2004301617432 2338351887004 3507527830506 4676703774008 7015055661012 14030111322024