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14101040304 = 24331319132151
BaseRepresentation
bin11010010000111110…
…01100110010110000
31100101201121001211000
431020133030302300
5212334331242204
610251122122000
71006302602451
oct151037146260
940351531730
1014101040304
115a8674031a
1228964b0300
131439528040
1497aa99128
15577e41039
hex3487cccb0

14101040304 has 160 divisors (see below), whose sum is σ = 45883174400. Its totient is φ = 4110393600.

The previous prime is 14101040281. The next prime is 14101040347. The reversal of 14101040304 is 40304010141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40629 + ... + 172779.

It is an arithmetic number, because the mean of its divisors is an integer number (286769840).

Almost surely, 214101040304 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 14101040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22941587200).

14101040304 is an abundant number, since it is smaller than the sum of its proper divisors (31782134096).

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

14101040304 is a wasteful number, since it uses less digits than its factorization.

14101040304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132200 (or 132188 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14101040304 its reverse (40304010141), we get a palindrome (54405050445).

The spelling of 14101040304 in words is "fourteen billion, one hundred one million, forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2223 2736 2808 2964 3952 4104 4446 5616 5928 6669 8208 8892 11856 13338 17784 26676 35568 53352 106704 132151 264302 396453 528604 792906 1057208 1189359 1585812 1717963 2114416 2378718 2510869 3171624 3435926 3568077 4757436 5021738 5153889 6343248 6871852 7136154 7532607 9514872 10043476 10307778 13743704 14272308 15065214 15461667 19029744 20086952 20615556 22597821 27487408 28544616 30130428 30923334 32641297 40173904 41231112 45195642 46385001 57089232 60260856 61846668 65282594 67793463 82462224 90391284 92770002 97923891 120521712 123693336 130565188 135586926 180782568 185540004 195847782 247386672 261130376 271173852 293771673 361565136 371080008 391695564 522260752 542347704 587543346 742160016 783391128 881315019 1084695408 1175086692 1566782256 1762630038 2350173384 3525260076 4700346768 7050520152 14101040304