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202144044432 = 24311859445691
BaseRepresentation
bin1011110001000010111…
…0010101010110010000
3201022202202200102112110
42330100232111112100
511302442333410212
6232510320225320
720414214012261
oct2742056252620
9638682612473
10202144044432
1178802052550
123321576b240
13160a658b715
149ad8b54968
1553d17dba3c
hex2f10b95590

202144044432 has 80 divisors (see below), whose sum is σ = 570343138560. Its totient is φ = 61184323200.

The previous prime is 202144044419. The next prime is 202144044433. The reversal of 202144044432 is 234440441202.

It is a self number, because there is not a number n which added to its sum of digits gives 202144044432.

It is not an unprimeable number, because it can be changed into a prime (202144044433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230707 + ... + 676397.

It is an arithmetic number, because the mean of its divisors is an integer number (7129289232).

Almost surely, 2202144044432 is an apocalyptic number.

202144044432 is a gapful number since it is divisible by the number (22) 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 202144044432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285171569280).

202144044432 is an abundant number, since it is smaller than the sum of its proper divisors (368199094128).

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

202144044432 is a wasteful number, since it uses less digits than its factorization.

202144044432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446572 (or 446566 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 202144044432 its reverse (234440441202), we get a palindrome (436584485634).

The spelling of 202144044432 in words is "two hundred two billion, one hundred forty-four million, forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 859 1718 2577 3436 5154 6872 9449 10308 13744 18898 20616 28347 37796 41232 56694 75592 113388 151184 226776 445691 453552 891382 1337073 1782764 2674146 3565528 4902601 5348292 7131056 9805202 10696584 14707803 19610404 21393168 29415606 39220808 58831212 78441616 117662424 235324848 382848569 765697138 1148545707 1531394276 2297091414 3062788552 4211334259 4594182828 6125577104 8422668518 9188365656 12634002777 16845337036 18376731312 25268005554 33690674072 50536011108 67381348144 101072022216 202144044432