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14388430464 = 27395711
BaseRepresentation
bin11010110011001111…
…00000011010000000
31101010202101000000000
431121213200122000
5213431414233324
610335430000000
71016362432602
oct153147403200
941122330000
1014388430464
116113991851
1229567a6000
131483c2c3a5
149a6d09172
155932ad9c9
hex3599e0680

14388430464 has 160 divisors (see below), whose sum is σ = 43003477440. Its totient is φ = 4795303680.

The previous prime is 14388430439. The next prime is 14388430519. The reversal of 14388430464 is 46403488341.

14388430464 is a `hidden beast` number, since 143 + 8 + 8 + 43 + 0 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2516569 + ... + 2522279.

It is an arithmetic number, because the mean of its divisors is an integer number (268771734).

Almost surely, 214388430464 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 14388430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21501738720).

14388430464 is an abundant number, since it is smaller than the sum of its proper divisors (28615046976).

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

14388430464 is an frugal number, since it uses more digits than its factorization.

14388430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 14388430464 in words is "fourteen billion, three hundred eighty-eight million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3888 4374 5184 5711 5832 6561 7776 8748 10368 11422 11664 13122 15552 17133 17496 19683 22844 23328 26244 31104 34266 34992 39366 45688 46656 51399 52488 68532 69984 78732 91376 93312 102798 104976 137064 139968 154197 157464 182752 205596 209952 274128 279936 308394 314928 365504 411192 419904 462591 548256 616788 629856 731008 822384 839808 925182 1096512 1233576 1259712 1387773 1644768 1850364 2193024 2467152 2519424 2775546 3289536 3700728 4163319 4934304 5551092 6579072 7401456 8326638 9868608 11102184 12489957 14802912 16653276 19737216 22204368 24979914 29605824 33306552 37469871 44408736 49959828 59211648 66613104 74939742 88817472 99919656 112409613 133226208 149879484 177634944 199839312 224819226 266452416 299758968 399678624 449638452 532904832 599517936 799357248 899276904 1199035872 1598714496 1798553808 2398071744 3597107616 4796143488 7194215232 14388430464