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41020201332 = 223311191180779
BaseRepresentation
bin100110001100111111…
…101001100101110100
310220212202202010122000
4212030333221211310
51133002132420312
630502221135300
72651342646465
oct461477514564
9126782663560
1041020201332
111643a91a440
127b496ba530
133b395436a6
141db1c96d6c
151101358adc
hex98cfe9974

41020201332 has 96 divisors (see below), whose sum is σ = 116624793600. Its totient is φ = 12365215200.

The previous prime is 41020201301. The next prime is 41020201349. The reversal of 41020201332 is 23310202014.

41020201332 is a `hidden beast` number, since 410 + 20 + 201 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136519 + ... + 317297.

It is an arithmetic number, because the mean of its divisors is an integer number (1214841600).

Almost surely, 241020201332 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 41020201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58312396800).

41020201332 is an abundant number, since it is smaller than the sum of its proper divisors (75604592268).

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

41020201332 is a wasteful number, since it uses less digits than its factorization.

41020201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180994 (or 180986 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41020201332 its reverse (23310202014), we get a palindrome (64330403346).

The spelling of 41020201332 in words is "forty-one billion, twenty million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 191 198 297 382 396 573 594 764 1146 1188 1719 2101 2292 3438 4202 5157 6303 6876 8404 10314 12606 18909 20628 25212 37818 56727 75636 113454 180779 226908 361558 542337 723116 1084674 1627011 1988569 2169348 3254022 3977138 4881033 5965707 6508044 7954276 9762066 11931414 17897121 19524132 23862828 34528789 35794242 53691363 69057578 71588484 103586367 107382726 138115156 207172734 214765452 310759101 379816679 414345468 621518202 759633358 932277303 1139450037 1243036404 1519266716 1864554606 2278900074 3418350111 3729109212 4557800148 6836700222 10255050333 13673400444 20510100666 41020201332