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14414112244324 = 2213273449650537
BaseRepresentation
bin1101000111000000110000…
…0010100100001001100100
31220000222100021011121121001
43101300030002210021210
53342130100213304244
650353430213403044
73015246065350042
oct321601402441144
956028307147531
1014414112244324
114657a99650021
121749675039484
13807325210c00
1437b90a9a5392
1519ee266ec5d4
hexd1c0c0a4264

14414112244324 has 72 divisors (see below), whose sum is σ = 27750194627400. Its totient is φ = 6546911035392.

The previous prime is 14414112244319. The next prime is 14414112244361. The reversal of 14414112244324 is 42344221141441.

It can be written as a sum of positive squares in 12 ways, for example, as 8029232288100 + 6384879956224 = 2833590^2 + 2526832^2 .

It is a super-3 number, since 3×144141122443243 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21831984 + ... + 22482520.

It is an arithmetic number, because the mean of its divisors is an integer number (385419369825).

Almost surely, 214414112244324 is an apocalyptic number.

It is an amenable number.

14414112244324 is a deficient number, since it is larger than the sum of its proper divisors (13336082383076).

14414112244324 is a wasteful number, since it uses less digits than its factorization.

14414112244324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651089 (or 651074 counting only the distinct ones).

The product of its digits is 98304, while the sum is 37.

Adding to 14414112244324 its reverse (42344221141441), we get a palindrome (56758333385765).

The spelling of 14414112244324 in words is "fourteen trillion, four hundred fourteen billion, one hundred twelve million, two hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 13 26 52 73 146 169 292 338 449 676 898 949 1796 1898 3796 5837 11674 12337 23348 24674 32777 49348 65554 75881 131108 151762 303524 426101 650537 852202 1301074 1704404 2602148 5539313 8456981 11078626 16913962 22157252 33827924 47489201 94978402 109940753 189956804 219881506 292091113 439763012 584182226 617359613 1168364452 1234719226 2469438452 3797184469 7594368938 8025674969 15188737876 16051349938 21322651249 32102699876 42645302498 49363398097 85290604996 98726796194 197453592388 277194466237 554388932474 1108777864948 3603528061081 7207056122162 14414112244324