Search a number
-
+
14051372675613 = 37137110760111273
BaseRepresentation
bin1100110001111001011100…
…0100111011001000011101
31211202022001022200021022220
43030132113010323020131
53320204202401104423
645515040025455553
72650115054033040
oct314362704731035
954668038607286
1014051372675613
114528176614199
1216ab3003415b9
137ac0671c6260
143681391dac57
1519579603b9e3
hexcc79713b21d

14051372675613 has 128 divisors (see below), whose sum is σ = 23643337826304. Its totient is φ = 7226343936000.

The previous prime is 14051372675609. The next prime is 14051372675617. The reversal of 14051372675613 is 31657627315041.

It is an interprime number because it is at equal distance from previous prime (14051372675609) and next prime (14051372675617).

It is not a de Polignac number, because 14051372675613 - 22 = 14051372675609 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14051372675617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1246456945 + ... + 1246468217.

It is an arithmetic number, because the mean of its divisors is an integer number (184713576768).

Almost surely, 214051372675613 is an apocalyptic number.

14051372675613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14051372675613 is a deficient number, since it is larger than the sum of its proper divisors (9591965150691).

14051372675613 is a wasteful number, since it uses less digits than its factorization.

14051372675613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12075.

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 14051372675613 in words is "fourteen trillion, fifty-one billion, three hundred seventy-two million, six hundred seventy-five thousand, six hundred thirteen".

Divisors: 1 3 7 13 21 39 71 91 107 213 273 321 497 601 749 923 1391 1491 1803 2247 2769 4173 4207 6461 7597 7813 9737 11273 12621 19383 22791 23439 29211 33819 42671 53179 54691 64307 78911 98761 128013 146549 159537 164073 192921 236733 296283 298697 439647 450149 554723 691327 800383 835991 896091 1025843 1206211 1350447 1664169 2073981 2401149 2507973 3077529 3618633 3883061 4565797 5602681 5851937 6775073 8443477 10404979 11649183 13697391 15680743 16808043 17555811 20325219 25330431 31214937 31960579 47042229 47425511 59355361 72834853 85640981 88075949 95881737 109765201 142276533 178066083 218504559 256922943 264227847 329295603 415487527 481030183 599486867 616531643 724932811 1113332753 1246462581 1443090549 1798460601 1849594929 2174798433 3339998259 3367211281 5074529677 6253392379 7793329271 9424126543 10101633843 15223589031 18760177137 23379987813 28272379629 43773746653 51470229581 65968885801 131321239959 154410688743 197906657403 360291607067 669112984553 1080874821201 2007338953659 4683790891871 14051372675613