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14130348288 = 283716715739
BaseRepresentation
bin11010010100011110…
…00000000100000000
31100110202202001210220
431022033000010000
5212414332121123
610254050223040
71010106656460
oct151217000400
940422661726
1014130348288
115aa12388a1
1228a4284a80
13144261a044
14980927ba0
1557a7cece3
hex34a3c0100

14130348288 has 144 divisors (see below), whose sum is σ = 43239920640. Its totient is φ = 4012812288.

The previous prime is 14130348277. The next prime is 14130348299. The reversal of 14130348288 is 88284303141.

It is an interprime number because it is at equal distance from previous prime (14130348277) and next prime (14130348299).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 889923 + ... + 905661.

Almost surely, 214130348288 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 14130348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21619960320).

14130348288 is an abundant number, since it is smaller than the sum of its proper divisors (29109572352).

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

14130348288 is a wasteful number, since it uses less digits than its factorization.

14130348288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15932 (or 15918 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 14130348288 in words is "fourteen billion, one hundred thirty million, three hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 167 168 192 224 256 334 336 384 448 501 668 672 768 896 1002 1169 1336 1344 1792 2004 2338 2672 2688 3507 4008 4676 5344 5376 7014 8016 9352 10688 14028 15739 16032 18704 21376 28056 31478 32064 37408 42752 47217 56112 62956 64128 74816 94434 110173 112224 125912 128256 149632 188868 220346 224448 251824 299264 330519 377736 440692 448896 503648 661038 755472 881384 897792 1007296 1322076 1510944 1762768 2014592 2628413 2644152 3021888 3525536 4029184 5256826 5288304 6043776 7051072 7885239 10513652 10576608 12087552 14102144 15770478 18398891 21027304 21153216 28204288 31540956 36797782 42054608 42306432 55196673 63081912 73595564 84109216 84612864 110393346 126163824 147191128 168218432 220786692 252327648 294382256 336436864 441573384 504655296 588764512 672873728 883146768 1009310592 1177529024 1766293536 2018621184 2355058048 3532587072 4710116096 7065174144 14130348288