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14233214311404 = 22311167992965029
BaseRepresentation
bin1100111100011110110110…
…1011101101101111101100
31212101200102011210110221120
43033013231223231233230
53331144110330431104
650134352015100540
72666213214320514
oct317075553555754
955350364713846
1014233214311404
1145982aa468620
12171a5aa811750
137c3256547b0a
14372c6982a844
1519a38a274cd9
hexcf1edaedbec

14233214311404 has 96 divisors (see below), whose sum is σ = 36451177459200. Its totient is φ = 4286770613760.

The previous prime is 14233214311403. The next prime is 14233214311451. The reversal of 14233214311404 is 40411341233241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14233214311403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218842362 + ... + 218907390.

It is an arithmetic number, because the mean of its divisors is an integer number (379699765200).

Almost surely, 214233214311404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14233214311404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18225588729600).

14233214311404 is an abundant number, since it is smaller than the sum of its proper divisors (22217963147796).

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

14233214311404 is a wasteful number, since it uses less digits than its factorization.

14233214311404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75143 (or 75141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 14233214311404 its reverse (40411341233241), we get a palindrome (54644555544645).

The spelling of 14233214311404 in words is "fourteen trillion, two hundred thirty-three billion, two hundred fourteen million, three hundred eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 3674 5511 7348 9929 11022 19858 22044 29787 39716 59574 65029 109219 119148 130058 195087 218438 260116 327657 390174 436876 655314 715319 780348 1310628 1430638 1658143 2145957 2861276 3316286 4291914 4974429 6632572 8583828 9948858 10859843 18239573 19897716 21719686 32579529 36479146 43439372 54718719 65159058 72958292 109437438 119458273 130318116 218874876 238916546 358374819 477833092 645672941 716749638 1291345882 1433499276 1937018823 2582691764 3874037646 7102402351 7748075292 14204804702 21307207053 28409609404 42614414106 85228828212 107827381147 215654762294 323482143441 431309524588 646964286882 1186101192617 1293928573764 2372202385234 3558303577851 4744404770468 7116607155702 14233214311404