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14340498816 = 273731172097
BaseRepresentation
bin11010101101100001…
…01010010110000000
31101000102011211010210
431112300222112000
5213332131430231
610330554354120
71015241141310
oct152660522600
941012154123
1014340498816
116099924016
12294272b940
131477019577
149a07cd440
1558de91a46
hex356c2a580

14340498816 has 128 divisors (see below), whose sum is σ = 44938229760. Its totient is φ = 3965091840.

The previous prime is 14340498803. The next prime is 14340498829. The reversal of 14340498816 is 61889404341.

It is an interprime number because it is at equal distance from previous prime (14340498803) and next prime (14340498829).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2721 + ... + 169376.

It is an arithmetic number, because the mean of its divisors is an integer number (351079920).

Almost surely, 214340498816 is an apocalyptic number.

14340498816 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 14340498816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469114880).

14340498816 is an abundant number, since it is smaller than the sum of its proper divisors (30597730944).

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

14340498816 is a wasteful number, since it uses less digits than its factorization.

14340498816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172152 (or 172140 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 14340498816 in words is "fourteen billion, three hundred forty million, four hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 172097 344194 516291 688388 1032582 1204679 1376776 2065164 2409358 2753552 3614037 4130328 4818716 5335007 5507104 7228074 8260656 9637432 10670014 11014208 14456148 16005021 16521312 19274864 21340028 22028416 28912296 32010042 33042624 37345049 38549728 42680056 57824592 64020084 66085248 74690098 77099456 85360112 112035147 115649184 128040168 149380196 154198912 170720224 224070294 231298368 256080336 298760392 341440448 448140588 462596736 512160672 597520784 682880896 896281176 1024321344 1195041568 1792562352 2048642688 2390083136 3585124704 4780166272 7170249408 14340498816