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201042420444 = 223317166765687
BaseRepresentation
bin1011101100111100001…
…1111110001011011100
3201012220222210010112000
42323033003332023130
511243213324423234
6232205124442300
720345006243445
oct2731703761334
9635828703460
10201042420444
11782972290a8
1232b68849390
1315c5c28c7c8
149a327122cc
155369c34899
hex2ecf0fe2dc

201042420444 has 96 divisors (see below), whose sum is σ = 552220623360. Its totient is φ = 63033336576.

The previous prime is 201042420419. The next prime is 201042420463. The reversal of 201042420444 is 444024240102.

201042420444 is a `hidden beast` number, since 20 + 10 + 424 + 204 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 3027769 + ... + 3093455.

It is an arithmetic number, because the mean of its divisors is an integer number (5752298160).

Almost surely, 2201042420444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201042420444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276110311680).

201042420444 is an abundant number, since it is smaller than the sum of its proper divisors (351178202916).

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

201042420444 is a wasteful number, since it uses less digits than its factorization.

201042420444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67384 (or 67376 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 201042420444 its reverse (444024240102), we get a palindrome (645066660546).

The spelling of 201042420444 in words is "two hundred one billion, forty-two million, four hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1667 1836 3334 5001 6668 10002 15003 20004 28339 30006 45009 56678 60012 65687 85017 90018 113356 131374 170034 180036 197061 255051 262748 340068 394122 510102 591183 765153 788244 1020204 1116679 1182366 1530306 1773549 2233358 2364732 3060612 3350037 3547098 4466716 6700074 7094196 10050111 13400148 20100222 30150333 40200444 60300666 109500229 120601332 219000458 328500687 438000916 657001374 985502061 1314002748 1861503893 1971004122 2956506183 3723007786 3942008244 5584511679 5913012366 7446015572 11169023358 11826024732 16753535037 22338046716 33507070074 50260605111 67014140148 100521210222 201042420444