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13414331344432 = 24232911931053617
BaseRepresentation
bin1100001100110100010001…
…1101000110011000110000
31202111101201211000121221211
43003031010131012120300
53224240022311010212
644310243031125504
72553103431045604
oct303150435063060
952441654017854
1013414331344432
114301a933732a7
121607954513894
13763c73459305
143453856b3504
15183e0e3149a7
hexc3344746630

13414331344432 has 80 divisors (see below), whose sum is σ = 28079003989440. Its totient is φ = 6189125820416.

The previous prime is 13414331344417. The next prime is 13414331344487. The reversal of 13414331344432 is 23444313341431.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12204888 + ... + 13258504.

It is an arithmetic number, because the mean of its divisors is an integer number (350987549868).

Almost surely, 213414331344432 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 13414331344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039501994720).

13414331344432 is an abundant number, since it is smaller than the sum of its proper divisors (14664672645008).

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

13414331344432 is a wasteful number, since it uses less digits than its factorization.

13414331344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054870 (or 1054864 counting only the distinct ones).

The product of its digits is 497664, while the sum is 40.

Adding to 13414331344432 its reverse (23444313341431), we get a palindrome (36858644685863).

The spelling of 13414331344432 in words is "thirteen trillion, four hundred fourteen billion, three hundred thirty-one million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1193 1334 2386 2668 4772 5336 9544 10672 19088 27439 34597 54878 69194 109756 138388 219512 276776 439024 553552 795731 1053617 1591462 2107234 3182924 4214468 6365848 8428936 12731696 16857872 24233191 30554893 48466382 61109786 96932764 122219572 193865528 244439144 387731056 488878288 702762539 1256965081 1405525078 2513930162 2811050156 5027860324 5622100312 10055720648 11244200624 20111441296 28910196863 36451987349 57820393726 72903974698 115640787452 145807949396 231281574904 291615898792 462563149808 583231797584 838395709027 1676791418054 3353582836108 6707165672216 13414331344432