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5445413433144 = 2332415993079553
BaseRepresentation
bin100111100111101101111…
…1011101110111100111000
3201021120120020001221010100
41033033123323232330320
51203204201314330034
615325331032115400
71101263264321646
oct117173373567470
921246506057110
105445413433144
11180a428a15393
1273b435b35b60
13306667179429
1414b7b9078196
15969aaec2099
hex4f3dbeeef38

5445413433144 has 96 divisors (see below), whose sum is σ = 15132928356000. Its totient is φ = 1767909212160.

The previous prime is 5445413433139. The next prime is 5445413433157. The reversal of 5445413433144 is 4413343145445.

5445413433144 is a `hidden beast` number, since 5 + 4 + 4 + 541 + 34 + 3 + 31 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5445413433144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228472 + ... + 3308024.

It is an arithmetic number, because the mean of its divisors is an integer number (157634670375).

Almost surely, 25445413433144 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 5445413433144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566464178000).

5445413433144 is an abundant number, since it is smaller than the sum of its proper divisors (9687514922856).

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

5445413433144 is a wasteful number, since it uses less digits than its factorization.

5445413433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080205 (or 3080198 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 5445413433144 its reverse (4413343145445), we get a palindrome (9858756578589).

The spelling of 5445413433144 in words is "five trillion, four hundred forty-five billion, four hundred thirteen million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 599 738 984 1198 1476 1797 2396 2952 3594 4792 5391 7188 10782 14376 21564 24559 43128 49118 73677 98236 147354 196472 221031 294708 442062 589416 884124 1768248 3079553 6159106 9238659 12318212 18477318 24636424 27715977 36954636 55431954 73909272 110863908 126261673 221727816 252523346 378785019 505046692 757570038 1010093384 1136355057 1515140076 1844652247 2272710114 3030280152 3689304494 4545420228 5533956741 7378608988 9090840456 11067913482 14757217976 16601870223 22135826964 33203740446 44271653928 66407480892 75630742127 132814961784 151261484254 226892226381 302522968508 453784452762 605045937016 680676679143 907568905524 1361353358286 1815137811048 2722706716572 5445413433144