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114666551454 = 2371317103311959
BaseRepresentation
bin110101011001010101…
…0001011100010011110
3101221222022100100112010
41222302222023202132
53334314114121304
6124402130052050
711166354414510
oct1526252134236
9357868310463
10114666551454
11446a2308304
121a28171a026
13aa75249160
14579ac85bb0
152eb1b34789
hex1ab2a8b89e

114666551454 has 128 divisors (see below), whose sum is σ = 299173754880. Its totient is φ = 28432871424.

The previous prime is 114666551453. The next prime is 114666551569. The reversal of 114666551454 is 454155666411.

114666551454 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114666551453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9582327 + ... + 9594285.

It is an arithmetic number, because the mean of its divisors is an integer number (2337294960).

Almost surely, 2114666551454 is an apocalyptic number.

114666551454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114666551454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149586877440).

114666551454 is an abundant number, since it is smaller than the sum of its proper divisors (184507203426).

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

114666551454 is a wasteful number, since it uses less digits than its factorization.

114666551454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13034.

The product of its digits is 1728000, while the sum is 48.

The spelling of 114666551454 in words is "one hundred fourteen billion, six hundred sixty-six million, five hundred fifty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1033 1326 1547 2066 3094 3099 4641 6198 7231 9282 11959 13429 14462 17561 21693 23918 26858 35122 35877 40287 43386 52683 71754 80574 83713 94003 105366 122927 155467 167426 188006 203303 228293 245854 251139 282009 310934 368781 406606 456586 466401 502278 564018 609909 684879 737562 932802 1088269 1219818 1369758 1423121 1598051 2176538 2642939 2846242 3196102 3264807 4269363 4794153 5285878 6529614 7928817 8538726 9588306 12353647 15857634 18500573 24707294 37001146 37060941 55501719 74121882 86475529 111003438 160597411 172951058 210011999 259426587 321194822 420023998 481792233 518853174 630035997 963584466 1124181877 1260071994 1470083993 2248363754 2730155987 2940167986 3372545631 4410251979 5460311974 6745091262 8190467961 8820503958 16380935922 19111091909 38222183818 57333275727 114666551454