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201044343042 = 232174159271603
BaseRepresentation
bin1011101100111100101…
…1010011100100000010
3201012221010101210211100
42323033023103210002
511243214322434132
6232205233555230
720345031501624
oct2731713234402
9635833353740
10201044343042
1178298321624
1232b69415b16
1315c5c7b393a
149a32a92c14
155369eb437c
hex2ecf2d3902

201044343042 has 96 divisors (see below), whose sum is σ = 480478340160. Its totient is φ = 60491197440.

The previous prime is 201044343029. The next prime is 201044343103. The reversal of 201044343042 is 240343440102.

It is a happy number.

201044343042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201044342997 and 201044343015.

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 47 ways as a sum of consecutive naturals, for example, 604413 + ... + 876015.

It is an arithmetic number, because the mean of its divisors is an integer number (5004982710).

Almost surely, 2201044343042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044343042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240239170080).

201044343042 is an abundant number, since it is smaller than the sum of its proper divisors (279433997118).

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

201044343042 is a wasteful number, since it uses less digits than its factorization.

201044343042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271728 (or 271725 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 201044343042 its reverse (240343440102), we get a palindrome (441387783144).

The spelling of 201044343042 in words is "two hundred one billion, forty-four million, three hundred forty-three thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 41 51 59 82 102 118 123 153 177 246 306 354 369 531 697 738 1003 1062 1394 2006 2091 2419 3009 4182 4838 6018 6273 7257 9027 12546 14514 18054 21771 41123 43542 82246 123369 246738 271603 370107 543206 740214 814809 1629618 2444427 4617251 4888854 9234502 11135723 13851753 16024577 22271446 27703506 32049154 33407169 41555259 48073731 66814338 83110518 96147462 100221507 144221193 189307291 200443014 272417809 288442386 378614582 544835618 567921873 657007657 817253427 1135843746 1314015314 1634506854 1703765619 1971022971 2451760281 3407531238 3942045942 4903520562 5913068913 11169130169 11826137826 22338260338 33507390507 67014781014 100522171521 201044343042