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244141350552 = 233211228023571
BaseRepresentation
bin1110001101011111110…
…1010101111010011000
3212100011122000121221200
43203113331111322120
513000000141204202
6304053524234200
723432023145061
oct3432775257230
9770148017850
10244141350552
11945a3478200
123b39653b960
131a03a384108
14bb606b9568
15653d802e1c
hex38d7f55e98

244141350552 has 72 divisors (see below), whose sum is σ = 726791339820. Its totient is φ = 73982224800.

The previous prime is 244141350529. The next prime is 244141350559. The reversal of 244141350552 is 255053141442.

244141350552 is a `hidden beast` number, since 2 + 4 + 4 + 141 + 3 + 505 + 5 + 2 = 666.

244141350552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244141350559) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 14003074 + ... + 14020497.

Almost surely, 2244141350552 is an apocalyptic number.

244141350552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

244141350552 is an abundant number, since it is smaller than the sum of its proper divisors (482649989268).

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

244141350552 is a wasteful number, since it uses less digits than its factorization.

244141350552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28023605 (or 28023587 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 244141350552 its reverse (255053141442), we get a palindrome (499194491994).

The spelling of 244141350552 in words is "two hundred forty-four billion, one hundred forty-one million, three hundred fifty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 28023571 56047142 84070713 112094284 168141426 224188568 252212139 308259281 336282852 504424278 616518562 672565704 924777843 1008848556 1233037124 1849555686 2017697112 2466074248 2774333529 3390852091 3699111372 5548667058 6781704182 7398222744 10172556273 11097334116 13563408364 20345112546 22194668232 27126816728 30517668819 40690225092 61035337638 81380450184 122070675276 244141350552