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144024334131200 = 21352703243819
BaseRepresentation
bin100000101111110101000111…
…010001100110000000000000
3200212221120222110220012001212
4200233311013101212000000
5122334143314014144300
61230151510553545252
742223262156015135
oct4057650721460000
9625846873805055
10144024334131200
1141988416a01846
12141a0a6a115228
136249589ac3723
14277cb5a3a258c
15119b60b989935
hex82fd47466000

144024334131200 has 84 divisors (see below), whose sum is σ = 357158548594860. Its totient is φ = 57609733570560.

The previous prime is 144024334131187. The next prime is 144024334131341. The reversal of 144024334131200 is 2131433420441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 351417110 + ... + 351826709.

Almost surely, 2144024334131200 is an apocalyptic number.

144024334131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144024334131200 is an abundant number, since it is smaller than the sum of its proper divisors (213134214463660).

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

144024334131200 is an frugal number, since it uses more digits than its factorization.

144024334131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703243855 (or 703243826 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 144024334131200 its reverse (2131433420441), we get a palindrome (146155767551641).

The spelling of 144024334131200 in words is "one hundred forty-four trillion, twenty-four billion, three hundred thirty-four million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 20480 25600 40960 51200 102400 204800 703243819 1406487638 2812975276 3516219095 5625950552 7032438190 11251901104 14064876380 17581095475 22503802208 28129752760 35162190950 45007604416 56259505520 70324381900 90015208832 112519011040 140648763800 180030417664 225038022080 281297527600 360060835328 450076044160 562595055200 720121670656 900152088320 1125190110400 1440243341312 1800304176640 2250380220800 2880486682624 3600608353280 4500760441600 5760973365248 7201216706560 9001520883200 14402433413120 18003041766400 28804866826240 36006083532800 72012167065600 144024334131200