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14340091152 = 2432322435791
BaseRepresentation
bin11010101101011110…
…00110110100010000
31101000101102002221010
431112233012310100
5213332030404102
610330541530520
71015234522632
oct152657066420
941011362833
1014340091152
116099675802
122942573a40
131476c05b4a
149a0724a52
1558de10d6c
hex356bc6d10

14340091152 has 80 divisors (see below), whose sum is σ = 38679810048. Its totient is φ = 4569375360.

The previous prime is 14340091151. The next prime is 14340091159. The reversal of 14340091152 is 25119004341.

14340091152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14340091151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2473377 + ... + 2479167.

Almost surely, 214340091152 is an apocalyptic number.

14340091152 is a gapful number since it is divisible by the number (12) 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 14340091152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339905024).

14340091152 is an abundant number, since it is smaller than the sum of its proper divisors (24339718896).

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

14340091152 is a wasteful number, since it uses less digits than its factorization.

14340091152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 14340091152 its reverse (25119004341), we get a palindrome (39459095493).

The spelling of 14340091152 in words is "fourteen billion, three hundred forty million, ninety-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 2243 4486 5791 6729 8972 11582 13458 17373 17944 23164 26916 34746 35888 46328 51589 53832 69492 92656 103178 107664 133193 138984 154767 206356 266386 277968 309534 399579 412712 532772 619068 799158 825424 1065544 1238136 1598316 2131088 2476272 3196632 6393264 12989213 25978426 38967639 51956852 77935278 103913704 155870556 207827408 298751899 311741112 597503798 623482224 896255697 1195007596 1792511394 2390015192 3585022788 4780030384 7170045576 14340091152