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14441086976 = 2153743277
BaseRepresentation
bin11010111001100000…
…11000000000000000
31101021102110020011012
431130300120000000
5214033404240401
610344550340052
71020602133251
oct153460300000
941242406135
1014441086976
116140687428
12297035a628
131491b079a4
149adcd4b28
15597c108bb
hex35cc18000

14441086976 has 128 divisors (see below), whose sum is σ = 30461716560. Its totient is φ = 6837239808.

The previous prime is 14441086949. The next prime is 14441086987. The reversal of 14441086976 is 67968014441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52133750 + ... + 52134026.

Almost surely, 214441086976 is an apocalyptic number.

14441086976 is a gapful number since it is divisible by the number (16) 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 14441086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230858280).

14441086976 is an abundant number, since it is smaller than the sum of its proper divisors (16020629584).

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

14441086976 is an frugal number, since it uses more digits than its factorization.

14441086976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 14441086976 in words is "fourteen billion, four hundred forty-one million, eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 128 148 172 256 277 296 344 512 554 592 688 1024 1108 1184 1376 1591 2048 2216 2368 2752 3182 4096 4432 4736 5504 6364 8192 8864 9472 10249 11008 11911 12728 16384 17728 18944 20498 22016 23822 25456 32768 35456 37888 40996 44032 47644 50912 70912 75776 81992 88064 95288 101824 141824 151552 163984 176128 190576 203648 283648 303104 327968 352256 381152 407296 440707 567296 606208 655936 704512 762304 814592 881414 1134592 1212416 1311872 1409024 1524608 1629184 1762828 2269184 2623744 3049216 3258368 3525656 4538368 5247488 6098432 6516736 7051312 9076736 10494976 12196864 13033472 14102624 20989952 24393728 26066944 28205248 41979904 48787456 52133888 56410496 83959808 97574912 112820992 167919616 195149824 225641984 335839232 390299648 451283968 902567936 1805135872 3610271744 7220543488 14441086976