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14311388544 = 273198323633
BaseRepresentation
bin11010101010000011…
…00111010110000000
31100221101101212100120
431111001213112000
5213302203413134
610324034420240
71014435536565
oct152501472600
940841355316
1014311388544
116084451042
122934a31680
131470c9655b
1499a9b286c
1558b641649
hex355067580

14311388544 has 128 divisors (see below), whose sum is σ = 40499222400. Its totient is φ = 4464746496.

The previous prime is 14311388519. The next prime is 14311388549. The reversal of 14311388544 is 44588311341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14311388496 and 14311388505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311388549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593752 + ... + 617384.

It is an arithmetic number, because the mean of its divisors is an integer number (316400175).

Almost surely, 214311388544 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 14311388544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20249611200).

14311388544 is an abundant number, since it is smaller than the sum of its proper divisors (26187833856).

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

14311388544 is a wasteful number, since it uses less digits than its factorization.

14311388544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23752 (or 23740 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

Adding to 14311388544 its reverse (44588311341), we get a palindrome (58899699885).

The spelling of 14311388544 in words is "fourteen billion, three hundred eleven million, three hundred eighty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 83 96 114 128 152 166 192 228 249 304 332 384 456 498 608 664 912 996 1216 1328 1577 1824 1992 2432 2656 3154 3648 3984 4731 5312 6308 7296 7968 9462 10624 12616 15936 18924 23633 25232 31872 37848 47266 50464 70899 75696 94532 100928 141798 151392 189064 201856 283596 302784 378128 449027 567192 605568 756256 898054 1134384 1347081 1512512 1796108 1961539 2268768 2694162 3025024 3592216 3923078 4537536 5388324 5884617 7184432 7846156 9075072 10776648 11769234 14368864 15692312 21553296 23538468 28737728 31384624 37269241 43106592 47076936 57475456 62769248 74538482 86213184 94153872 111807723 125538496 149076964 172426368 188307744 223615446 251076992 298153928 376615488 447230892 596307856 753230976 894461784 1192615712 1788923568 2385231424 3577847136 4770462848 7155694272 14311388544