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14106441350526 = 23721718891494133
BaseRepresentation
bin1100110101000110100101…
…1011001111110101111110
31211221120012011002210210020
43031101221123033311332
53322104442441204101
650000224254353010
72654104524040500
oct315215133176576
954846164083706
1014106441350526
11454956542a778
1216b9b0a7bb766
137b43020bb1b5
1436aa80b87d70
15196e1a8a1136
hexcd4696cfd7e

14106441350526 has 96 divisors (see below), whose sum is σ = 34768020057120. Its totient is φ = 3791318114304.

The previous prime is 14106441350503. The next prime is 14106441350537. The reversal of 14106441350526 is 62505314460141.

It is a super-3 number, since 3×141064413505263 (a number of 40 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8694156 + ... + 10188288.

It is an arithmetic number, because the mean of its divisors is an integer number (362166875595).

Almost surely, 214106441350526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106441350526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17384010028560).

14106441350526 is an abundant number, since it is smaller than the sum of its proper divisors (20661578706594).

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

14106441350526 is a wasteful number, since it uses less digits than its factorization.

14106441350526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496058 (or 1496051 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 14106441350526 in words is "fourteen trillion, one hundred six billion, four hundred forty-one million, three hundred fifty thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 1889 2499 3778 4998 5667 11334 13223 26446 32113 39669 64226 79338 92561 96339 185122 192678 224791 277683 449582 555366 674373 1348746 1494133 1573537 2988266 3147074 4482399 4720611 8964798 9441222 10458931 20917862 25400261 31376793 50800522 62753586 73212517 76200783 146425034 152401566 177801827 219637551 355603654 439275102 533405481 1066810962 1244612789 2489225578 2822417237 3733838367 5644834474 7467676734 8467251711 16934503422 19756920659 39513841318 47981093029 59270761977 95962186058 118541523954 138298444613 143943279087 276596889226 287886558174 335867651203 414895333839 671735302406 829790667678 1007602953609 2015205907218 2351073558421 4702147116842 7053220675263 14106441350526