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201044440320 = 2835139376657
BaseRepresentation
bin1011101100111100101…
…1101011010100000000
3201012221010120202021020
42323033023223110000
511243214334042240
6232205240025440
720345032355343
oct2731713532400
9635833522236
10201044440320
1178298388719
1232b69462280
1315c5c818cb9
149a32aba45a
155369ed30d0
hex2ecf2eb500

201044440320 has 144 divisors (see below), whose sum is σ = 646706719680. Its totient is φ = 53226012672.

The previous prime is 201044440319. The next prime is 201044440339. The reversal of 201044440320 is 23044440102.

It is a happy number.

201044440320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345432 + ... + 722088.

Almost surely, 2201044440320 is an apocalyptic number.

201044440320 is a gapful number since it is divisible by the number (20) 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 201044440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323353359840).

201044440320 is an abundant number, since it is smaller than the sum of its proper divisors (445662279360).

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

201044440320 is a wasteful number, since it uses less digits than its factorization.

201044440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376820 (or 376806 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 201044440320 its reverse (23044440102), we get a palindrome (224088880422).

The spelling of 201044440320 in words is "two hundred one billion, forty-four million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 256 278 320 384 417 480 556 640 695 768 834 960 1112 1280 1390 1668 1920 2085 2224 2780 3336 3840 4170 4448 5560 6672 8340 8896 11120 13344 16680 17792 22240 26688 33360 35584 44480 53376 66720 88960 106752 133440 177920 266880 376657 533760 753314 1129971 1506628 1883285 2259942 3013256 3766570 4519884 5649855 6026512 7533140 9039768 11299710 12053024 15066280 18079536 22599420 24106048 30132560 36159072 45198840 48212096 52355323 60265120 72318144 90397680 96424192 104710646 120530240 144636288 157065969 180795360 209421292 241060480 261776615 289272576 314131938 361590720 418842584 482120960 523553230 628263876 723181440 785329845 837685168 1047106460 1256527752 1446362880 1570659690 1675370336 2094212920 2513055504 3141319380 3350740672 4188425840 5026111008 6282638760 6701481344 8376851680 10052222016 12565277520 13402962688 16753703360 20104444032 25130555040 33507406720 40208888064 50261110080 67014813440 100522220160 201044440320