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14431033110032 = 2471145726879539
BaseRepresentation
bin1101000111111111110010…
…0110100010111000010000
31220002121000111202122122222
43101333330212202320100
53342414223434010112
650405305230320212
73016415311342040
oct321777446427020
956077014678588
1014431033110032
114664191a79960
1217509b7959068
13808ac09b7c96
1437c673d65720
151a05b6e92372
hexd1ffc9a2e10

14431033110032 has 160 divisors (see below), whose sum is σ = 34952322908160. Its totient is φ = 5607501603840.

The previous prime is 14431033110031. The next prime is 14431033110073. The reversal of 14431033110032 is 23001133013441.

It is a junction number, because it is equal to n+sod(n) for n = 14431033109983 and 14431033110010.

It is not an unprimeable number, because it can be changed into a prime (14431033110031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1512840719 + ... + 1512850257.

It is an arithmetic number, because the mean of its divisors is an integer number (218452018176).

Almost surely, 214431033110032 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 14431033110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476161454080).

14431033110032 is an abundant number, since it is smaller than the sum of its proper divisors (20521289798128).

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

14431033110032 is a wasteful number, since it uses less digits than its factorization.

14431033110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709 (or 12703 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 14431033110032 its reverse (23001133013441), we get a palindrome (37432166123473).

The spelling of 14431033110032 in words is "fourteen trillion, four hundred thirty-one billion, thirty-three million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 457 616 914 1232 1828 2687 3199 3656 5027 5374 6398 7312 9539 10054 10748 12796 18809 19078 20108 21496 25592 29557 35189 37618 38156 40216 42992 51184 59114 66773 70378 75236 76312 80432 104929 118228 133546 140756 150472 152624 206899 209858 236456 267092 281512 300944 413798 419716 472912 534184 563024 734503 827596 839432 1068368 1227959 1469006 1655192 1678864 2455918 2938012 3310384 4359323 4911836 5876024 8595713 8718646 9823672 11752048 13507549 17191426 17437292 19647344 25631293 27015098 30515261 34382852 34874584 47952553 51262586 54030196 61030522 68765704 69749168 94552843 95905106 102525172 108060392 122061044 137531408 179419051 189105686 191810212 205050344 216120784 244122088 281944223 335667871 358838102 378211372 383620424 410100688 488244176 563888446 671335742 717676204 756422744 767240848 1127776892 1342671484 1435352408 1512845488 1973609561 2255553784 2685342968 2870704816 3947219122 4511107568 5370685936 7894438244 11713500901 15788876488 23427001802 31577752976 46854003604 81994506307 93708007208 128848509911 163989012614 187416014416 257697019822 327978025228 515394039644 655956050456 901939569377 1030788079288 1311912100912 1803879138754 2061576158576 3607758277508 7215516555016 14431033110032