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201044220432 = 243112711405039
BaseRepresentation
bin1011101100111100101…
…0110101101000010000
3201012221010011120122020
42323033022311220100
511243214310023212
6232205231211440
720345030451306
oct2731712655020
9635833146566
10201044220432
11782982484a0
1232b69376b80
1315c5c76cba3
149a32a60276
155369e8cd8c
hex2ecf2b5a10

201044220432 has 80 divisors (see below), whose sum is σ = 568670269440. Its totient is φ = 60697641600.

The previous prime is 201044220407. The next prime is 201044220451. The reversal of 201044220432 is 234022440102.

201044220432 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010442204322 (a number of 23 digits) contains 22 as substring.

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

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, 559432 + ... + 845607.

It is an arithmetic number, because the mean of its divisors is an integer number (7108378368).

Almost surely, 2201044220432 is an apocalyptic number.

201044220432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201044220432 is an abundant number, since it is smaller than the sum of its proper divisors (367626049008).

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

201044220432 is a wasteful number, since it uses less digits than its factorization.

201044220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405332 (or 1405326 counting only the distinct ones).

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

Adding to 201044220432 its reverse (234022440102), we get a palindrome (435066660534).

The spelling of 201044220432 in words is "two hundred one billion, forty-four million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 271 528 542 813 1084 1626 2168 2981 3252 4336 5962 6504 8943 11924 13008 17886 23848 35772 47696 71544 143088 1405039 2810078 4215117 5620156 8430234 11240312 15455429 16860468 22480624 30910858 33720936 46366287 61821716 67441872 92732574 123643432 185465148 247286864 370930296 380765569 741860592 761531138 1142296707 1523062276 2284593414 3046124552 4188421259 4569186828 6092249104 8376842518 9138373656 12565263777 16753685036 18276747312 25130527554 33507370072 50261055108 67014740144 100522110216 201044220432