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14003412140432 = 24111331197431369
BaseRepresentation
bin1100101111000110110001…
…1010000000000110010000
31211120201020212110122111002
43023301230122000012100
53313412442001443212
645441025001041132
72643466415150621
oct313615432000620
954521225418432
1014003412140432
1145098a50a3260
1216a1b564861a8
137a7692b3a960
14365aa96b9a48
151943da752ac2
hexcbc6c680190

14003412140432 has 80 divisors (see below), whose sum is σ = 32903122398720. Its totient is φ = 5686023398400.

The previous prime is 14003412140407. The next prime is 14003412140437. The reversal of 14003412140432 is 23404121430041.

It is a junction number, because it is equal to n+sod(n) for n = 14003412140395 and 14003412140404.

It is not an unprimeable number, because it can be changed into a prime (14003412140437) 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, 98644757 + ... + 98786612.

It is an arithmetic number, because the mean of its divisors is an integer number (411289029984).

Almost surely, 214003412140432 is an apocalyptic number.

It is an amenable number.

14003412140432 is an abundant number, since it is smaller than the sum of its proper divisors (18899710258288).

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

14003412140432 is a wasteful number, since it uses less digits than its factorization.

14003412140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197431432 (or 197431426 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 14003412140432 its reverse (23404121430041), we get a palindrome (37407533570473).

The spelling of 14003412140432 in words is "fourteen trillion, three billion, four hundred twelve million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1364 1612 2288 2728 3224 4433 5456 6448 8866 17732 35464 70928 197431369 394862738 789725476 1579450952 2171745059 2566607797 3158901904 4343490118 5133215594 6120372439 8686980236 10266431188 12240744878 17373960472 20532862376 24481489756 28232685767 34747920944 41065724752 48962979512 56465371534 67324096829 79564841707 97925959024 112930743068 134648193658 159129683414 225861486136 269296387316 318259366828 451722972272 538592774632 636518733656 875213258777 1077185549264 1273037467312 1750426517554 3500853035108 7001706070216 14003412140432