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44121718521414 = 232176192281102121
BaseRepresentation
bin10100000100000111000110…
…10110111111111001000110
312210012222212102111020221100
422002003203112333321012
521240342234420141124
6233501123200400530
712202455213314562
oct1202034326777106
9183188772436840
1044121718521414
1113070a08944396
124b47102316146
131b80877610221
14ac77070a86a2
15517a9198e1c9
hex2820e35bfe46

44121718521414 has 96 divisors (see below), whose sum is σ = 101429375916960. Its totient is φ = 13813551820800.

The previous prime is 44121718521403. The next prime is 44121718521421. The reversal of 44121718521414 is 41412581712144.

44121718521414 is a `hidden beast` number, since 4 + 4 + 1 + 217 + 18 + 5 + 2 + 1 + 414 = 666.

44121718521414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44121718521414.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 432002274 + ... + 432104394.

It is an arithmetic number, because the mean of its divisors is an integer number (1056555999135).

Almost surely, 244121718521414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44121718521414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50714687958480).

44121718521414 is an abundant number, since it is smaller than the sum of its proper divisors (57307657395546).

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

44121718521414 is a wasteful number, since it uses less digits than its factorization.

44121718521414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105046 (or 105043 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The spelling of 44121718521414 in words is "forty-four trillion, one hundred twenty-one billion, seven hundred eighteen million, five hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 619 1238 1857 2281 3714 4562 5571 6843 10523 11142 13686 20529 21046 31569 38777 41058 63138 77554 94707 102121 116331 189414 204242 232662 306363 348993 612726 697986 919089 1411939 1736057 1838178 2823878 3472114 4235817 5208171 8471634 10416342 12707451 15624513 24002963 25414902 31249026 48005926 63212899 72008889 126425798 144017778 189638697 216026667 232938001 379277394 432053334 465876002 568916091 698814003 1074619283 1137832182 1397628006 2096442009 2149238566 3223857849 3959946017 4192884018 6447715698 7919892034 9671573547 11879838051 19343147094 23759676102 35639514153 71279028306 144188622619 288377245238 432565867857 865131735714 1297697603571 2451206584523 2595395207142 4902413169046 7353619753569 14707239507138 22060859260707 44121718521414