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102414080484 = 22342327732
BaseRepresentation
bin101111101100001011…
…0101101100111100100
3100210100102011100010000
41133120112231213210
53134221001033414
6115014241101300
710253626215012
oct1373026554744
9323312140100
10102414080484
113a485095541
1217a22327830
1398719b8331
144d579078b2
1529e6142b09
hex17d85ad9e4

102414080484 has 135 divisors (see below), whose sum is σ = 280239740473. Its totient is φ = 32611521888.

The previous prime is 102414080449. The next prime is 102414080501. The reversal of 102414080484 is 484080414201.

The square root of 102414080484 is 320022.

It is a perfect power (a square), and thus also a powerful number.

102414080484 is a `hidden beast` number, since 1 + 0 + 241 + 408 + 0 + 4 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6517332900 + 95896747584 = 80730^2 + 309672^2 .

It is a super-3 number, since 3×1024140804843 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 132488722 + ... + 132489494.

Almost surely, 2102414080484 is an apocalyptic number.

102414080484 is the 320022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102414080484

102414080484 is an abundant number, since it is smaller than the sum of its proper divisors (177825659989).

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

102414080484 is an frugal number, since it uses more digits than its factorization.

102414080484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 102414080484 by its sum of digits (36), we get a square (3686906897424 = 19201322).

102414080484 divided by its sum of digits (36) gives a square (2844835569 = 533372).

Adding to 102414080484 its reverse (484080414201), we get a palindrome (586494494685).

The spelling of 102414080484 in words is "one hundred two billion, four hundred fourteen million, eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 773 828 1058 1242 1546 1587 1863 2116 2319 2484 3092 3174 3726 4638 4761 6348 6957 7452 9276 9522 13914 14283 17779 19044 20871 27828 28566 35558 41742 42849 53337 57132 62613 71116 83484 85698 106674 125226 160011 171396 213348 250452 320022 408917 480033 597529 640044 817834 960066 1195058 1226751 1440099 1635668 1792587 1920132 2390116 2453502 2880198 3585174 3680253 4907004 5377761 5760396 7170348 7360506 10755522 11040759 13743167 14721012 16133283 21511044 22081518 27486334 32266566 33122277 41229501 44163036 48399849 54972668 64533132 66244554 82459002 96799698 123688503 132489108 164918004 193599396 247377006 316092841 371065509 494754012 632185682 742131018 948278523 1113196527 1264371364 1484262036 1896557046 2226393054 2844835569 3793114092 4452786108 5689671138 8534506707 11379342276 17069013414 25603520121 34138026828 51207040242 102414080484