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114060130065624 = 233194721341249377
BaseRepresentation
bin11001111011110010110001…
…100010010001110011011000
3112221212001010120120022021210
4121323302301202101303120
5104422230121244044444
61042330300025503120
733011400231613521
oct3173626142216330
9487761116508253
10114060130065624
11333856a1976076
121096174a941aa0
134b84a93766682
14202477b10d848
15d2be745637b9
hex67bcb1891cd8

114060130065624 has 128 divisors (see below), whose sum is σ = 306560175897600. Its totient is φ = 35250833756160.

The previous prime is 114060130065619. The next prime is 114060130065641. The reversal of 114060130065624 is 426560031060411.

114060130065624 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 457255624 + ... + 457505000.

It is an arithmetic number, because the mean of its divisors is an integer number (2395001374200).

Almost surely, 2114060130065624 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 114060130065624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153280087948800).

114060130065624 is an abundant number, since it is smaller than the sum of its proper divisors (192500045831976).

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

114060130065624 is a wasteful number, since it uses less digits than its factorization.

114060130065624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270793 (or 270789 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 114060130065624 in words is "one hundred fourteen trillion, sixty billion, one hundred thirty million, sixty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1128 1786 2679 3572 5358 7144 10716 21341 21432 42682 64023 85364 128046 170728 249377 256092 405479 498754 512184 748131 810958 997508 1003027 1216437 1496262 1621916 1995016 2006054 2432874 2992524 3009081 3243832 4012108 4738163 4865748 5985048 6018162 8024216 9476326 9731496 11720719 12036324 14214489 18952652 19057513 23441438 24072648 28428978 35162157 37905304 38115026 46882876 56857956 57172539 70324314 76230052 93765752 113715912 114345078 140648628 152460104 222693661 228690156 281297256 445387322 457380312 668080983 890774644 1336161966 1781549288 2672323932 5321954557 5344647864 10643909114 15965863671 21287818228 31931727342 42575636456 63863454684 101117136583 127726909368 202234273166 250131864179 303351409749 404468546332 500263728358 606702819498 750395592537 808937092664 1000527456716 1213405638996 1500791185074 2001054913432 2426811277992 3001582370148 4752505419401 6003164740296 9505010838802 14257516258203 19010021677604 28515032516406 38020043355208 57030065032812 114060130065624