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5143214304144 = 243372389711929
BaseRepresentation
bin100101011010111111101…
…1101100010101110010000
3200012200112110002120112000
41022311333131202232100
51133231300330213034
614534432100034000
71040404434155430
oct112657735425620
920180473076460
105143214304144
111703252433a04
126b0958092900
132b4006862777
1413ad0bc442c0
158dbc0719599
hex4ad7f762b90

5143214304144 has 160 divisors (see below), whose sum is σ = 16879005984000. Its totient is φ = 1468872631296.

The previous prime is 5143214304143. The next prime is 5143214304157. The reversal of 5143214304144 is 4414034123415.

It is a happy number.

5143214304144 is a `hidden beast` number, since 5 + 1 + 432 + 143 + 0 + 41 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5143214304099 and 5143214304108.

It is not an unprimeable number, because it can be changed into a prime (5143214304143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6868372 + ... + 7580300.

It is an arithmetic number, because the mean of its divisors is an integer number (105493787400).

Almost surely, 25143214304144 is an apocalyptic number.

5143214304144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5143214304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439502992000).

5143214304144 is an abundant number, since it is smaller than the sum of its proper divisors (11735791679856).

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

5143214304144 is a wasteful number, since it uses less digits than its factorization.

5143214304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714342 (or 714330 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 5143214304144 its reverse (4414034123415), we get a palindrome (9557248427559).

The spelling of 5143214304144 in words is "five trillion, one hundred forty-three billion, two hundred fourteen million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2389 3024 4778 7167 9556 14334 16723 19112 21501 28668 33446 38224 43002 50169 57336 64503 66892 86004 100338 114672 129006 133784 150507 172008 200676 258012 267568 301014 344016 401352 451521 516024 602028 711929 802704 903042 1032048 1204056 1423858 1806084 2135787 2408112 2847716 3612168 4271574 4983503 5695432 6407361 7224336 8543148 9967006 11390864 12814722 14950509 17086296 19222083 19934012 25629444 29901018 34172592 38444166 39868024 44851527 51258888 59802036 76888332 79736048 89703054 102517776 119604072 134554581 153776664 179406108 239208144 269109162 307553328 358812216 538218324 717624432 1076436648 1700798381 2152873296 3401596762 5102395143 6803193524 10204790286 11905588667 13606387048 15307185429 20409580572 23811177334 27212774096 30614370858 35716766001 40819161144 45921556287 47622354668 61228741716 71433532002 81638322288 91843112574 95244709336 107150298003 122457483432 142867064004 183686225148 190489418672 214300596006 244914966864 285734128008 321450894009 367372450296 428601192012 571468256016 642901788018 734744900592 857202384024 1285803576036 1714404768048 2571607152072 5143214304144