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14388327448 = 23111973117883
BaseRepresentation
bin11010110011001110…
…00111010000011000
31101010202011202200121
431121213013100120
5213431402434243
610335423443024
71016361523345
oct153147072030
941122152617
1014388327448
116113921410
122956756474
131483bc4531
149a6cbd7cc
1559328d1ed
hex3599c7418

14388327448 has 64 divisors (see below), whose sum is σ = 31404297600. Its totient is φ = 6111002880.

The previous prime is 14388327439. The next prime is 14388327523. The reversal of 14388327448 is 84472388341.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14388327395 and 14388327404.

It is a congruent number.

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, 63115 + ... + 180997.

It is an arithmetic number, because the mean of its divisors is an integer number (490692150).

Almost surely, 214388327448 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 14388327448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702148800).

14388327448 is an abundant number, since it is smaller than the sum of its proper divisors (17015970152).

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

14388327448 is a wasteful number, since it uses less digits than its factorization.

14388327448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117992 (or 117988 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 52.

The spelling of 14388327448 in words is "fourteen billion, three hundred eighty-eight million, three hundred twenty-seven thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 73 76 88 146 152 209 292 418 584 803 836 1387 1606 1672 2774 3212 5548 6424 11096 15257 30514 61028 117883 122056 235766 471532 943064 1296713 2239777 2593426 4479554 5186852 8605459 8959108 10373704 17210918 17918216 24637547 34421836 49275094 68843672 94660049 98550188 163503721 189320098 197100376 327007442 378640196 654014884 757280392 1308029768 1798540931 3597081862 7194163724 14388327448