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14002661248 = 27376744129
BaseRepresentation
bin11010000101001111…
…11010011110000000
31100010212110220010021
431002213322132000
5212134140124443
610233245343224
71003666441162
oct150247723600
940125426107
1014002661248
115a36156714
122869567b14
131422031294
1496b9aa932
1556e4ab9ed
hex3429fa780

14002661248 has 64 divisors (see below), whose sum is σ = 29078139600. Its totient is φ = 6710280192.

The previous prime is 14002661237. The next prime is 14002661273. The reversal of 14002661248 is 84216620041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×140026612483 (a number of 31 digits) contains 333 as substring.

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, 295248 + ... + 339376.

Almost surely, 214002661248 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 14002661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539069800).

14002661248 is an abundant number, since it is smaller than the sum of its proper divisors (15075478352).

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

14002661248 is an equidigital number, since it uses as much as digits as its factorization.

14002661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44247 (or 44235 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 14002661248 in words is "fourteen billion, two million, six hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 64 67 74 128 134 148 268 296 536 592 1072 1184 2144 2368 2479 4288 4736 4958 8576 9916 19832 39664 44129 79328 88258 158656 176516 317312 353032 706064 1412128 1632773 2824256 2956643 3265546 5648512 5913286 6531092 11826572 13062184 23653144 26124368 47306288 52248736 94612576 104497472 109395791 189225152 208994944 218791582 378450304 437583164 875166328 1750332656 3500665312 7001330624 14002661248