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201044020440144 = 24372730911694883
BaseRepresentation
bin101101101101100100110101…
…011011000010110001010000
3222100211121202110021112121110
4231231210311123002301100
5202322401123213041034
61551330203054453320
760226644146532300
oct5555446533026120
9870747673245543
10201044020440144
1159071321371492
121a66b817804240
1388244a653722b
14379082258d600
15183993a24dde9
hexb6d9356c2c50

201044020440144 has 120 divisors (see below), whose sum is σ = 604240507218720. Its totient is φ = 57433284824832.

The previous prime is 201044020440097. The next prime is 201044020440187. The reversal of 201044020440144 is 441044020440102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11343327 + ... + 23038209.

It is an arithmetic number, because the mean of its divisors is an integer number (5035337560156).

Almost surely, 2201044020440144 is an apocalyptic number.

201044020440144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201044020440144 is an abundant number, since it is smaller than the sum of its proper divisors (403196486778576).

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

201044020440144 is a wasteful number, since it uses less digits than its factorization.

201044020440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702217 (or 11702204 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 201044020440144 its reverse (441044020440102), we get a palindrome (642088040880246).

The spelling of 201044020440144 in words is "two hundred one trillion, forty-four billion, twenty million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 7309 14618 21927 29236 43854 51163 58472 87708 102326 116944 153489 175416 204652 306978 350832 358141 409304 613956 716282 818608 1074423 1227912 1432564 2148846 2455824 2865128 4297692 5730256 8595384 11694883 17190768 23389766 35084649 46779532 70169298 81864181 93559064 140338596 163728362 187118128 245592543 280677192 327456724 491185086 561354384 573049267 654913448 982370172 1146098534 1309826896 1719147801 1964740344 2292197068 3438295602 3929480688 4584394136 6876591204 9168788272 13753182408 27506364816 85477899847 170955799694 256433699541 341911599388 512867399082 598345298929 683823198776 1025734798164 1196690597858 1367646397552 1795035896787 2051469596328 2393381195716 3590071793574 4102939192656 4188417092503 4786762391432 7180143587148 8376834185006 9573524782864 12565251277509 14360287174296 16753668370012 25130502555018 28720574348592 33507336740024 50261005110036 67014673480048 100522010220072 201044020440144